Adding and Subtracting Rational Numbers

Front

What is a rational number?

Back

A rational number is any number that can be expressed as the quotient or fraction of two integers, where the denominator is not zero.

Front

How do you find the distance between two numbers on a number line?

Back

The distance between two numbers is found by taking the absolute value of their difference: |a - b|.

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

What is the sum of two rational numbers?

Back

The sum of two rational numbers is found by finding a common denominator and adding the numerators.

Front

What is the difference of two rational numbers?

Back

The difference of two rational numbers is found by finding a common denominator and subtracting the numerators.

Front

Calculate the distance between -2.2 and 8.4.

Back

The distance is |−2.2 - 8.4| = |−10.6| = 10.6.

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Back

Front

Calculate the distance between 5 and -3.

Back

The distance is |5 - (-3)| = |5 + 3| = |8| = 8.

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Back

Front

Calculate the distance between 4 and 1.5.

Back

The distance is |4 - 1.5| = |2.5| = 2.5.