Adding and Subtracting Rational Numbers

Front

What do you do when adding rational numbers with the same sign?

Back

Add together and keep the sign.

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 subtract rational numbers?

Back

To subtract rational numbers, add the opposite of the number being subtracted.

Front

What is the opposite of a number?

Back

The opposite of a number is the number that is the same distance from zero on the number line but in the opposite direction.

Front

What happens when you add a positive rational number and a negative rational number?

Back

You subtract the absolute values and keep the sign of the number with the larger absolute value.

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.

Front

If you have -3 + -5, what is the result?

Back

-8 (Add the absolute values and keep the negative sign.)

Front

If you have 7 + -2, what is the result?

Back

5 (Subtract the absolute values: 7 - 2 = 5, keep the sign of the larger absolute value.)

Front

What is the first step in adding rational numbers with different signs?

Back

Determine the absolute values and subtract the smaller from the larger.

Front

What is the result of -4 - 6?

Back

-10 (Subtract the absolute values and keep the negative sign.)