Flash Cards: Operations with Integers

Integers are whole numbers that can be positive, negative, or zero. Examples include -3, -2, -1, 0, 1, 2, 3.

To add two integers, simply combine their values. For example, \(5 + (-2) = 3\).

The additive inverse of an integer \(a\) is \(-a\). For example, the additive inverse of 7 is -7.

A number line is a visual representation of integers in order. Positive integers are to the right of 0, and negative integers are to the left.

The result is \(4 + (-5) = -1\). You move 4 units right and then 5 units left.

The result is \(7 - 12 = 7 + (-12) = -5\).

If their sum is \(S\) and difference is \(D\), the two numbers are: \(x + y = S\) and \(x - y = D\). Solve for \(x\) and \(y\).

If the first strike moves the coin 'a' units and the second 'b' units, the final position \(P = a + b\).

Rightward movements are positive, while leftward movements are negative.

Neglecting the signs of the integers. Always remember to consider whether the integers are positive or negative.

Subtracting a negative integer is the same as adding its positive. For example, \(5 - (-3) = 5 + 3 = 8\).

Use the formula \(P = a + b\). Hence, \(5 = -4 + b\) implies \(b = 9\).

One person thinks of two integers, gives their sum and difference, and the other finds the integers. It's a fun way to review.

Use one type of token for positive integers and another for negative integers to visualize addition and subtraction.

Sum combines values, while difference finds how far apart the values are. For example, \(x + y\) vs. \(x - y\).

The numbers are 18 and 7. \(18 + 7 = 25\) and \(18 - 7 = 11\).

Zero is an integer that acts as a neutral element in addition: \(a + 0 = a\).