Another Peek Beyond the Point is a chapter in the CBSE Class 7 Mathematics syllabus from Ganita Prakash II. This chapter hub brings together revision notes, practice questions, worksheets, flashcards, formula sheet to help students learn, practice, and revise Another Peek Beyond the Point effectively.

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Another Peek Beyond the Point

NCERT Class 7 Mathematics Chapter 4: Another Peek Beyond the Point (Pages 67–96)

Class 7 CBSE hub Mathematics chapters Ganita Prakash II

Summary of Another Peek Beyond the Point

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Another Peek Beyond the Point at a Glance

Board

CBSE

Class

Class 7

Subject

Mathematics

Book

Ganita Prakash II

Chapter

Pages

67–96

Resources

7 study resources

Another Peek Beyond the Point Summary

In this chapter, students explore the concept of decimals as an extension of the Indian numeral system. They start by reviewing fractions and learn how to convert them into decimals. This foundation allows them to handle decimal operations, including addition, subtraction, multiplication, and division. Key examples demonstrate how to apply these operations in real life, like calculating costs and distances. The chapter emphasizes rules for multiplying and dividing decimals, showing how these processes relate to their whole number counterparts, making it simpler to grasp. Understanding how to handle decimals is crucial, as they appear in various situations, from shopping expenses to measuring distances. Furthermore, the chapter illustrates techniques for calculating with decimals, including using place values for division and specific strategies for multiplication, ensuring students develop comfort with decimal concepts and operations. By the end of the chapter, students are well-prepared to apply decimal operations confidently in their mathematical studies.

Another Peek Beyond the Point Revision Guide

Download the Another Peek Beyond the Point revision guide with key points, summaries, and quick revision notes for CBSE Class 7 Mathematics.

Key Points

Understand decimal place values.

Decimals extend the place value system for fractions like tenths, hundredths, etc., e.g., 27.53 = 2 tens, 7 ones, 5 tenths, 3 hundredths.

Perform decimal addition and subtraction.

Align decimal points and add/subtract as normal. Ensure correct placement of the decimal point in the answer.

Process of decimal multiplication.

Multiply as integers, then adjust the decimal point based on total decimal places from both factors.

Multiplying decimals example.

For 5.8 × 1.24: 58 × 124 = 7192; total decimal places = 3; thus, 5.8 × 1.24 = 7.192.

Rules for dividing by powers of 10.

To divide by 10, 100, etc., move the decimal to the left; for example, 123.4 ÷ 10 = 12.34.

Dividing decimals and fractions.

Convert decimals to fractions if needed. For instance, 3.9 ÷ 10 = 39/10 × 1/10 = 39/100 = 0.39.

Rules for decimal division.

Use long division for decimals: move the decimal point in the quotient as needed for tenths, hundredths, etc.

Understand quotient relationships.

When dividing by a decimal less than 1, the quotient can exceed the dividend (e.g., 128 ÷ 0.4 = 320).

Cyclic numbers and long division.

Some divisions like 10 ÷ 3 yield repeating decimals (3.333...), demonstrating endless patterns.

Identify when products are greater or less.

When multiplying decimals, results vary: two numbers over 1 yield a larger product; those less than 1 yield smaller results.

Using fractions to confirm results.

Converting to fractions can help verify decimal multiplication/division accuracy.

Adding zeroes in decimal calculations.

In operations with decimals, add leading zeroes where necessary to maintain place value.

Link between decimals and fractions.

Decimals represent fraction values efficiently; e.g., 0.5 equals 1/2, reinforcing the connection.

Real-life applications of decimals.

Decimals apply in contexts like currency, measurements, and statistics to enhance precision.

Solve for unknowns in decimal equations.

Set up equations using decimals consistently, manipulating them as with whole numbers.

Practical examples provided.

The chapter includes various examples demonstrating calculations with real-world relevance, enhancing understanding.

Review key terminologies.

Familiarize with terms such as quotient, dividend, divisor, and their roles in mathematical expressions.

Recognize decimal limitations.

Some decimal divisions do not yield a finite number of digits, illustrating the complexity of decimal systems.

Summary of skills developed.

Chapter emphasizes skills such as multiplying, dividing, adding, and subtracting using decimals and fractions.

Review common mistakes.

Common errors include misplacing decimal points; careful alignment is necessary during calculations.

Another Peek Beyond the Point Practice Questions & Answers

Practice important questions and exam-style problems from Another Peek Beyond the Point. These questions cover key topics from the CBSE Class 7 Mathematics syllabus.

How to practice: Start with the questions below to test your understanding of Another Peek Beyond the Point. Use the revision guide to review concepts you find difficult, then come back and retry the questions for better retention.

What is the decimal representation of 25/100?

Single Answer MCQ

Q-00124750

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What decimal fraction represents 5 tenths?

Single Answer MCQ

Q-00124751

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Which of the following is the correct way to express 4/1000 as a decimal?

Single Answer MCQ

Q-00124752

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If you divide 123 by 10, what is the result in decimal form?

Single Answer MCQ

Q-00124753

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What is the sum of 0.2 and 0.05?

Single Answer MCQ

Q-00124754

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Which option represents 75/100 as a decimal?

Single Answer MCQ

Q-00124755

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How do you express 847/10000 as a decimal?

Single Answer MCQ

Q-00124756

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What is the result of 678 divided by 1000?

Single Answer MCQ

Q-00124757

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View all 48 Another Peek Beyond the Point questions

Which of the following decimals correctly represents 200/100?

What is 3.45 when rounded to one decimal place?

What is 1.25 + 2.75 in decimal form?

If 0.004 is subtracted from 0.5, what is the result?

What is the decimal result of 6 divided by 0.25?

The decimal 3.6 can be expressed as a fraction in which form?

Which addition gives 0.1 when 0.05 is added to it?

What is the result of 4.5 ÷ 10?

What is 7.2 ÷ 100?

Calculate the length of each piece when 9.6 m is divided into 8 equal pieces.

If you have 15.75 m of ribbon and divide it by 5, what is the length of each piece?

What is the quotient of 22.4 ÷ 4?

When 3.8 is divided by 10, what happens to the decimal?

What is 0.56 ÷ 100?

If 0.75 is divided by 10, what result do you get?

Divide 9.99 by 3.3. What is the quotient?

What do you get when you divide 10 by 3?

If 2.5 is divided by 0.5, what is the result?

What is the result of dividing 1.4 by 0.07?

How would you express 10.5 ÷ 2 in decimal form?

If 0.24 is divided by 0.08, what is the answer?

What is 1000 ÷ 7?

When dividing 5.25 by 0.25, what is the result?

What is the product of 4.5 and 3?

If 0.3 is multiplied by 10, what is the result?

Calculate 7.25 × 4.

What is 6.8 × 0.5?

What is the product of 3.6 and 2.3?

If you multiply 0.75 by 0.4, what is the product?

A car travels 15.5 km per litre of petrol. How far does it go with 6 litres?

What is the product of 0.12 and 25?

Multiply 0.55 by 0.5. What is the product?

If 0.9 is multiplied by 100, what would you get?

A water tank holds 2.4 litres. How much water is in 5 such tanks?

Calculate 0.003 multiplied by 1,000.

What is 25 × 0.04?

How much is 0.6 multiplied by 0.5?

Find the product of 4.9 and 3.5.

If you multiply 0.025 by 40, what do you get?

A recipe requires 0.5 kg of flour for 4 servings. How much flour is needed for 10 servings?

Single Answer MCQ

Q-00124797

View explanation

Another Peek Beyond the Point Practice Worksheets

Download and practice Another Peek Beyond the Point worksheets to improve problem-solving accuracy and speed for CBSE Class 7 Mathematics exams.

Another Peek Beyond the Point - Practice Worksheet

This worksheet covers essential long-answer questions to help you build confidence in Another Peek Beyond the Point from Ganita Prakash II for Class 7 (Mathematics).

Practice

Questions

Explain the significance of decimals in the Indian place value system, including how they relate to fractions.

Decimals extend the Indian place value system by incorporating decimal fractions, representing values based on 1/10, 1/100, 1/1000, etc. For example, in the decimal number 27.53, the digit 2 represents 20 (2 tens), 7 represents 7 (7 units), 5 represents 0.5 (5 tenths), and 3 represents 0.03 (3 hundredths). Therefore, we can see how decimals are important in measurements, currency, and everyday calculations.

Describe the procedure for dividing a decimal by a power of ten, providing examples.

To divide a decimal by 10, 100, or 1000, simply move the decimal point left by the number of zeros in the divisor. For instance, when dividing 123.45 by 10, move the decimal one place left, resulting in 12.345. Similarly, dividing 456.78 by 100 results in 4.5678, and dividing by 1000 gives 0.45678. This method simplifies calculations significantly.

Demonstrate how to multiply two decimals using an example, and explain the steps involved.

To multiply decimals, first multiply them as if they were whole numbers, ignoring the decimal points. For example, to calculate 2.5 × 0.4, multiply 25 by 4, which results in 100. Count the total decimal places in both numbers (2 in total: one for 2.5 and one for 0.4). Finally, place the decimal in the product, yielding 1.00 or simply 1.

Explain how to divide two decimals and illustrate this with a detailed example.

To divide two decimals, first convert the divisor to a whole number by moving the decimal point to the right, and do the same for the dividend. For example, to divide 4.5 by 0.3, move the decimal point in 0.3 one place to the right, making it 3, then move the decimal in 4.5 one place to the right, changing it to 45. Now divide: 45 ÷ 3 = 15. The final answer is 15.

What is the rule for multiplying decimals, and provide an example to illustrate this rule.

The rule for multiplying decimals involves multiplying the two numbers as if they were whole numbers, then placing the decimal point in the result. For example, for 1.2 × 2.5, multiply 12 by 25 to get 300. There are 3 decimal places total (one in 1.2 and two in 2.5), so the final result is 3.00, or simply 3.

Define equivalent fractions in decimals and give examples of how to convert between them.

Equivalent fractions represent the same value in different forms. For example, 0.5 is equivalent to 1/2, and 0.25 equals 1/4. To convert a fraction to decimal, divide the numerator by the denominator. For instance, to convert 1/4 into decimal, calculate 1 ÷ 4 = 0.25. Knowing these conversions is vital for comparing quantities.

How can you identify when the product of two decimals will be less than 1? Provide supporting examples.

The product of two decimals will be less than 1 if both decimals are between 0 and 1. For example, multiplying 0.3 by 0.2 gives 0.06, which is less than both factors. However, if one is greater than 1, like 0.3 × 2 = 0.6, the result can be greater than the factor below 1. Thus, knowing the ranges of your numbers helps in predicting outcomes.

Give an example of converting and adding decimal fractions, and solve the problem step-by-step.

To add decimal fractions, convert them into a common format. For example, if summing 0.4 and 0.25, convert 0.4 to 0.40 for easier addition. Now add: 0.40 + 0.25 = 0.65. Thus, the sum of 0.4 and 0.25 is 0.65. This method applies to larger numbers too.

Discuss the relationship between decimals and percents, and provide an illustrative example.

Decimals and percents are closely related; in fact, a percent is a decimal multiplied by 100. For example, 0.75 as a percent is 75% since 0.75 × 100 = 75. This relationship illustrates how to convert between decimals and percentages, aiding in understanding proportions and financial calculations.

Another Peek Beyond the Point - Mastery Worksheet

This worksheet challenges you with deeper, multi-concept long-answer questions from Another Peek Beyond the Point to prepare for higher-weightage questions in Class 7.

Mastery

Questions

Express the total weight of 50 g of Cinnamon, 100 g of Cumin seeds, 25 g of Cardamom, and 250 g of Pepper in kilograms and as decimal fractions. Justify your conversions.

Cinnamon: 0.050 kg, Cumin seeds: 0.100 kg, Cardamom: 0.025 kg, Pepper: 0.250 kg. Total = 0.050 + 0.100 + 0.025 + 0.250 = 0.425 kg. Decimal conversion involves dividing grams by 1000.

Calculate the product of 12.5 km per litre of petrol and 7.5 litres of petrol. Show your workings using both the decimal method and fractions.

Using decimals: 12.5 × 7.5 = 93.75 km. As fractions: Convert to 125/10 × 75/10 = (125 × 75) / 100 = 9375 / 100 = 93.75 km.

Find the distance Ajay walks in a week if he walks 827 m to school and back each day for 6 days. Present your answer in kilometers and ensure to highlight the conversion process from meters.

Each day: 0.827 km. Total for 6 days = 0.827 × 2 × 6 = 9.924 km.

If a rectangular garden is 5.7 m long and 13.3 m wide, find the area of the garden in square meters using decimal multiplication.

Area = 5.7 × 13.3 = 75.81 sq m. Convert both to fractions if necessary as (57/10) × (133/10) = 7571/100 = 75.81.

Anuja has 3.9 m of ribbon cut into 10 equal pieces. Calculate the length of each piece in decimal form, and illustrate your steps.

Length of each piece = 3.9 ÷ 10 = 0.39 m (convert 3.9 to fraction first, then apply the division).

Divide 1325 by 4 using both long division and the decimal method. Show all steps clearly.

Using long division, 1325 ÷ 4 = 331.25. Breakdown: 4 into 13 gives 3. Remainder 1, carry down 2 to make 12. 4 into 12 gives 3 with 0 remainder, carry down 5 to get 5. 4 into 5 gives 1 with remainder 1, carry down 0 making 10. 4 into 10 gives 2 with remainder 2, making it 331.25.

Ravi travels a distance of 126 km in 2.5 hours. Find his average speed in km/h using decimal division. Discuss your findings.

Speed = Distance ÷ Time = 126 km ÷ 2.5 hrs = 50.4 km/h. Convert 2.5 to a fraction if it helps: 126 ÷ (25/10) = 1260 ÷ 25 = 50.4 km/h.

A notebook costs ₹23.6, and Dwarakanath sells it at ₹30. Calculate the profit made if he sells 50 notebooks.

Profit per notebook = ₹30 - ₹23.6 = ₹6.4. Total profit = ₹6.4 × 50 = ₹320.

Explain why multiplication of two decimals yields a product that can be greater or lower than both original numbers. Provide examples to substantiate your claims.

An example is 0.25 × 0.8 = 0.2 (less than both); and 2.5 × 1.2 = 3 (greater than both). The product depends on whether both decimals are less than or greater than one.

Demonstrate how to convert 0.06 divided by 5 into a decimal. Show every calculation and state the final result.

0.06 ÷ 5 = 0.012. Dividing each component shows regrouping is necessary, dividing hundredths by fives.

Another Peek Beyond the Point - Challenge Worksheet

The final worksheet presents challenging long-answer questions that test your depth of understanding and exam-readiness for Another Peek Beyond the Point in Class 7.

Challenge

Questions

Evaluate the implications of converting decimal fractions to mixed numbers in day-to-day shopping scenarios. How does a misunderstanding of this conversion lead to incorrect amounts?

Consider potential miscalculations in terms of money lost or gained. Discuss examples of common decimal values in prices and their fractional counterparts. Analyze the importance of accurate conversions in financial transactions.

Assess the method of dividing decimals by powers of ten. Why is this process simpler than dividing other fractions, and what might be the real-world applications?

Identify instances in banking, budgeting, or cooking where this method is beneficial. Critique the effectiveness and limitations of this method compared to other division techniques.

Investigate the challenges that arise when multiplying decimals in large calculations, such as estimating total costs in a grocery store. What are the potential pitfalls?

Provide examples of how slight miscalculations can compound in large sums. Evaluate the benefits of using calculators versus mental math in these instances.

Critically analyze Ajay's weekly walking distance problem as an example of calculating total distances. What could be an alternative method of solving such problems using averages?

Explore both the direct addition method and averaging methods. Discuss scenarios where averages would offer a clearer perspective on total activity over time.

Examine the implications of having a decimal point misplaced while performing decimal multiplication. What consequences can this have in a real-world financial setting?

Illustrate scenarios where a misplaced decimal would drastically alter the outcome, such as pricing errors. Discuss preventive measures that can be taken.

Evaluate the effect of using decimals instead of fractions in scientific experiments. How does this choice impact accuracy and precision?

Discuss precision in measurements and how decimals can either enhance or detract from the reliability of results. Use examples from laboratory settings.

Explore different methods for dividing decimal numbers by integers. Which methods yield more accurate results? Compare these with real-life applications.

Evaluate straightforward long division versus using fraction equivalences. Compare outcomes in respect to advantages in professional fields.

Debate whether the product of two decimals can ever result in a natural number. Provide mathematical proofs and counterexamples.

Present conditions under which this occurs, supported by logical reasoning and examples. Address misconceptions and clarify with numerical proofs.

Analyze the significance of teaching decimal multiplication differently as opposed to integer multiplication. How might pedagogical changes impact student understanding?

Discuss the cognitive load associated with learning new multiplication methods. Suggest integrated approaches that could facilitate better understanding.

Critique the use of decimal approximations in calculating time and distance ratios in transportation. When might these approximations fail?

Identify scenarios where rough estimates could lead to underestimation or overestimation of required resources, and suggest ways to mitigate risks.

Another Peek Beyond the Point Formula Sheet

Use this Class 7 Mathematics Another Peek Beyond the Point Formula Sheet for quick revision before school exams and CBSE exams. It brings together the important formulas, key concepts, and worked examples in one place so students can revise faster and download a printable PDF for offline study.

Important Formulas

Decimal Division Rule: a ÷ 10^n = move decimal point left by n places

Here, 'a' is the number being divided, and 'n' is the number of zeros in the divisor. This rule helps simplify division by powers of ten.

Decimal Multiplication Rule: a × b = (a × b without decimal) / 10^n

This states the product is found by multiplying the numbers as if they were whole, then dividing by 10 raised to the total number of decimal places in the factors (a and b).

Fraction to Decimal: a/b = a ÷ b

Convert a fraction to decimal by performing division. Useful for understanding the relation between fractions and their decimal equivalents.

Area of Rectangle: Area = length × width

Used to calculate the area of a rectangle. Here, the dimensions can be in decimal form, illustrating real-world applications.

Average Speed = Distance / Time

In this formula, distance can be in kilometers and time in hours, giving a practical application for calculating rates.

Cost Calculation: Total Cost = Unit Price × Quantity

Here, you multiply the cost per item by the total number of items. This reflects real-life shopping scenarios.

Decimal expansion: 0.a + 0.b + ... + 0.c = d

Where 'a', 'b', 'c' are the decimal components of a number. Useful for understanding the construction of decimal numbers.

Decimal Quotient Rule: a ÷ b = (a × 10^n) / (b × 10^n) for decimal divisor

If the divisor is decimal, this method converts it into a whole number, allowing for easier division.

Price per kg = Total Price / Weight (in kg)

This calculates the price for 1 kg based on total pricing, a common practical application in shopping.

Total Distance = Speed × Time

This formula allows calculation of distance traveled over time at a constant speed, applicable for travel-related calculations.

Worked Examples

9.5 × 5 = 47.5

To find the total cost when buying pens, multiply the cost of one pen by the number of pens.

12.5 × 7.5 = 93.75

Calculates distance traveled given the fuel consumption rate in km per litre and quantity of litres.

827 ÷ 1000 = 0.827

Converts meters to kilometers, useful for distance conversions.

4.68 ÷ 1.3 = 3.6

Demonstrates division with decimal quotients, useful in many real-world contexts.

1324 ÷ 4 = 331

An example of dividing a whole number evenly among a number of groups.

75.6 ÷ 3.6 = 21

Shows how to simplify division by decimals.

2.46 ÷ 1.5 = 1.64

An example of decimal division, applying to real-life measurements.

0.06 ÷ 5 = 0.012

Demonstrates dividing small decimal numbers, reinforcing decimal division skills.

9.5 ÷ 10 = 0.95

Illustrates how to move the decimal point to divide by ten.

0.827 × 2 = 1.654

Doubling a distance, showing the application of multiplication with decimals.

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Another Peek Beyond the Point Frequently Asked Questions

Discover comprehensive learning on decimal concepts, multiplication, and division in Class 7's 'Another Peek Beyond the Point'. This chapter from 'Ganita Prakash II' ensures students gain essential skills.

QWhat are decimals?

Decimals are numbers that represent fractions with denominators that are powers of ten, such as 10, 100, or 1000. They extend the place value system, allowing representation of parts of a whole, like 0.1 for one-tenth.

QHow do you multiply decimals?

To multiply decimals, first multiply them as if they were whole numbers. After finding the product, count the total number of decimal places in both factors and place the decimal point in the product accordingly.

QCan decimal multiplication produce a whole number?

Yes, when you multiply two decimals, the product can be a whole number, especially when the decimals result in a multiplication that has no remaining decimal portions, like 0.5 x 2 = 1.

QHow do you divide decimals?

To divide decimals, you can shift the decimal point in the divisor to make it a whole number and shift the decimal point in the dividend the same number of places. Then perform long division as you would with whole numbers.

QWhat is a simple rule for dividing by 10, 100, or 1000?

When dividing by 10, 100, or 1000, move the decimal point in the dividend to the left by as many places as there are zeros in the divisor. For example, 67.5 ÷ 100 = 0.675.

QHow can I express 0.254 as a fraction?

To express 0.254 as a fraction, you can write it as 254/1000, and then simplify it if needed.

QIs decimal multiplication the same as fraction multiplication?

Yes, decimal multiplication follows the same principles as fraction multiplication. You multiply the numerator and denominator after converting the decimals to fractions.

QWhy do we need decimal operations in daily life?

Decimal operations are crucial for everyday tasks such as budgeting, shopping, cooking, and measuring, as they enable accurate calculations and conversions.

QHow to convert fractions with larger denominators to decimals?

You can convert fractions to decimals by dividing the numerator by the denominator, which provides the decimal form. For example, 3/4 equals 0.75.

QCan we find the area of a rectangle with decimal dimensions?

Yes, the area of a rectangle can be calculated regardless of whether the dimensions are whole numbers or decimals. Use the formula Area = length × width.

QWhat happens to the product of decimals in certain situations?

The product of two decimal numbers can be less than either of the numbers if both decimals are less than one, showcasing the behavior of decimals in multiplication.

QHow are decimals and fractions related?

Decimals are a way to represent fractions. For instance, 0.5 is equivalent to 1/2, and the conversion between them is essential in arithmetic.

QWhat does it mean for a decimal to repeat?

A repeating decimal means that after some digits, the same digits continue infinitely, like 0.333... which represents 1/3.

QHow do you handle long division with decimals?

For long division with decimals, ensure that the divisor is a whole number, then follow standard long division techniques, placing the decimal in the quotient correctly.

QHow to perform operations with multiple decimal places?

When performing operations with multiple decimal places, ensure to align the numbers properly and account for each decimal place in your final results.

QWhat is cross-multiplying with decimals?

Cross-multiplying is a technique used in solving equations involving fractions and decimals, making it easier to find a common denominator.

QHow does one visualize decimals in terms of money?

Representing decimals in the context of money helps visualize their value; for example, 2.75 dollars is equivalent to 2 dollars and 75 cents.

QWhat are some practical examples of decimal division?

Practical examples of decimal division include calculating prices per item during shopping or determining lengths when material is divided into smaller pieces.

QCan decimals be both positive and negative?

Yes, decimals can be both positive and negative, reflective of values below zero when needed, similar to whole numbers.

QHow do we relate the concept of decimals to percentages?

Decimals relate to percentages by expressing a percentage as a decimal by dividing by 100; for instance, 20% equals 0.20.

QWhat are the common mistakes to avoid in decimal operations?

Common mistakes in decimal operations include misplacing the decimal point, failing to align numbers properly during addition or subtraction, and incorrect simplification.

QWhat tools can aid in learning about decimals?

Tools such as calculators, decimal grids, number lines, and educational websites or apps can greatly assist in learning about decimal operations.

QHow can understanding decimals improve academic performance in math?

A strong grasp of decimals enhances performance in math, as it is foundational for higher topics like algebra, geometry, and data analysis.

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Another Peek Beyond the Point Official Textbook PDF

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Another Peek Beyond the Point Formula Sheet

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Another Peek Beyond the Point Practice Worksheet

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Another Peek Beyond the Point Challenge Worksheet

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Another Peek Beyond the Point Flashcards

Revise key terms and definitions from Another Peek Beyond the Point with interactive flashcards. Quick recall practice for CBSE Class 7 Mathematics.

These flash cards cover important concepts from Another Peek Beyond the Point in Ganita Prakash II for Class 7 (Mathematics).

1/20

What are decimals?

1/20

Decimals are the natural extension of the Indian place value system to represent decimal fractions such as 1/10, 1/100, 1/1000, etc.

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2/20

How is 27.53 broken down by place value?

2/20

27.53 consists of 2 Tens, 7 Units (Ones), 5 Tenths, and 3 Hundredths.

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3/20

How do you multiply decimals?

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Multiply as with counting numbers, then place the decimal point based on the total decimal places in both numbers.

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4/20

Example of multiplying decimals: What is 9.5 × 5?

4/20

9.5 × 5 = 47.5.

5/20

What is the formula to divide a number by 10?

5/20

Move the decimal point of the number left by one place.

6/20

Example of dividing: What is 123 ÷ 10?

6/20

123 ÷ 10 = 12.3.

7/20

Can the product of two decimals be a natural number?

7/20

Yes, for example, 0.5 × 2 = 1 is a natural number.

8/20

How do you divide a decimal by a decimal?

8/20

Convert the divisor into a whole number by multiplying by 10, 100, etc., and adjusting the dividend accordingly.

9/20

What is the distance if a car travels 12.5 km/l with 7.5 litres?

9/20

12.5 × 7.5 = 93.75 km.

10/20

Find the area of a rectangle with dimensions 5.7 cm and 13.3 cm.

10/20

Area = 5.7 × 13.3 = 75.81 sq cm.

11/20

What happens when dividing by numbers like 10, 100?

11/20

You move the decimal point to the left and count the zeros.

12/20

What is 3.9 ÷ 10?

12/20

3.9 ÷ 10 = 0.39.

13/20

Rules for dividing decimals?

13/20

Move the decimal point to the left for each zero in the divisor.

14/20

What is 1324 ÷ 4 using long division?

14/20

The result is 331.

15/20

What can be inferred from 10 ÷ 3?

15/20

It results in a repeating decimal: 3.333...

16/20

How do leap years adjust for calendar discrepancies?

16/20

An extra day is added every four years but not in every hundredth year, unless divisible by 400.

17/20

What is the relationship among dividend, divisor, and quotient?

17/20

The quotient is always less than the dividend when the divisor is greater than 1.

18/20

Convert 2/5 to decimal.

18/20

2/5 = 0.4.

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What is the value of 0.06 ÷ 5?

19/20

0.06 ÷ 5 = 0.012.

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What is the importance of decimal places in multiplication?

20/20

Total decimal places in the product equals the sum of the decimal places of the multiplicands.

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