Integers Study Guide

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero, but does not include fractions or decimals.

Front

What is the absolute value of a number?

Back

The absolute value of a number is its distance from zero on the number line, regardless of direction. For example, |-3| = 3.

Front

How do you add two integers with the same sign?

Back

When adding two integers with the same sign, add their absolute values and keep the common sign. For example, -3 + -5 = -8.

Front

How do you add two integers with different signs?

Back

When adding two integers with different signs, subtract the smaller absolute value from the larger absolute value and take the sign of the integer with the larger absolute value. For example, 5 + -3 = 2.

Front

What happens when you subtract a negative integer?

Back

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

Front

What is the result of multiplying two negative integers?

Back

The product of two negative integers is a positive integer. For example, -2 * -3 = 6.

Front

What is the result of multiplying a positive integer by a negative integer?

Back

The product of a positive integer and a negative integer is a negative integer. For example, 4 * -2 = -8.

Front

What is the result of dividing two integers with the same sign?

Back

The quotient of two integers with the same sign is a positive integer. For example, -6 ÷ -2 = 3.

Front

What is the result of dividing two integers with different signs?

Back

The quotient of two integers with different signs is a negative integer. For example, 10 ÷ -2 = -5.

Front

What is a number line?

Back

A number line is a straight line that represents numbers as points at equal intervals, with positive numbers to the right of zero and negative numbers to the left.