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 add two rational numbers with different denominators?

Back

To add two rational numbers with different denominators, find a common denominator, convert each fraction, and then add the numerators.

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

How do you subtract a negative number from a positive number?

Back

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

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

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

Back

To find the distance between two numbers, subtract one from the other and take the absolute value of the result.

Front

What is the result of adding a positive number and a negative number?

Back

The result depends on the magnitudes of the numbers; if the positive number is larger, the result is positive, and if the negative number is larger, the result is negative.

Front

How do you represent the difference in elevations?

Back

The difference in elevations can be represented by subtracting the lower elevation from the higher elevation.

Front

What is the sum of -5 and 2?

Back

The sum of -5 and 2 is -3.

Front

What is the result of -8 + 7?

Back

The result of -8 + 7 is -1.