Adding Rational Numbers (with negatives)

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

What does it mean to add negative numbers?

Back

Adding negative numbers means you are moving to the left on the number line, which decreases the value.

Front

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

Back

The result depends on the absolute values 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 a loss in financial terms?

Back

A loss is represented as a negative number. For example, a loss of $7 is written as -7.

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.

Front

What is the sum of -9 and 2?

Back

-9 + 2 = -7.

Front

What is the sum of two negative numbers?

Back

The sum of two negative numbers is always negative. For example, -14 + (-8) = -22.

Front

How do you add two rational numbers with different signs?

Back

To add two rational numbers with different signs, subtract the smaller absolute value from the larger absolute value and keep the sign of the number with the larger absolute value.

Front

What is the result of -5 + (-3)?

Back

-5 + (-3) = -8.

Front

If a submarine is 200 ft above sea level, how is this represented?

Back

200 ft above sea level is represented as +200.