Adding and Subtracting Rational Numbers Using Number Lines

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 represent addition of rational numbers on a number line?

Back

To represent addition on a number line, start at the first number and move to the right for positive numbers or to the left for negative numbers.

Front

What is the result of adding a positive rational number to a negative rational number?

Back

The result depends on the absolute values of the numbers; if the positive number's absolute value is greater, the result is positive, and vice versa.

Front

What does it mean to subtract a negative number?

Back

Subtracting a negative number is the same as adding its positive counterpart.

Front

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

Back

The distance is found by taking the absolute value of the difference between the two numbers.

Front

What is the sum of 11 + (-5)?

Back

The sum is 6, which is 5 units in the negative direction from 11.

Front

What is the result of -7.34 - (-5.51)?

Back

The result is -1.83.

Front

If you add -1 and -6, what is the result?

Back

The result is -7.

Front

What is the distance between -2.2 and 8.4 on a number line?

Back

The distance is 10.6.

Front

What is -7.8 + (-0.8)?

Back

The result is -8.6.