Integers and Rational Numbers

Front

What is an integer?

Back

An integer is a whole number that can be positive, negative, or zero. Examples include -3, 0, and 5.

Front

What are rational numbers?

Back

Rational numbers are numbers that can be expressed as a fraction of two integers, where the denominator is not zero. Examples include 1/2, -3, and 0.

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, -4 + -3 = -7.

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 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, | -7 | = 7 and | 7 | = 7.

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 integers with the same sign?

Back

The product of two integers with the same sign is positive. For example, -2 * -3 = 6.

Front

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

Back

The product of two integers with different signs is negative. For example, -2 * 3 = -6.

Front

How do you divide integers?

Back

When dividing integers, if the signs are the same, the result is positive; if the signs are different, the result is negative. For example, 6 ÷ 2 = 3 and -6 ÷ 2 = -3.

Front

What is a mixed number?

Back

A mixed number is a whole number combined with a proper fraction. For example, 2 1/2 is a mixed number.