Adding and Subtracting Rational Decimals

Front

What is a rational decimal?

Back

A rational decimal is a decimal number that can be expressed as a fraction, where both the numerator and the denominator are integers.

Front

How do you add two negative decimals?

Back

To add two negative decimals, add their absolute values and keep the negative sign. For example, -3.133 + -0.24 = -(3.133 + 0.24) = -3.373.

Front

What is the result of -3.133 + -0.24?

Back

-3.373

Front

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

Back

To subtract a positive decimal from a negative decimal, add the absolute value of the positive decimal to the negative decimal. For example, -4.5 - 6 = -4.5 + (-6) = -10.5.

Front

What is the value of -4.5 - 6?

Back

-10.5

Front

What does it mean to descend in terms of elevation?

Back

To descend means to move downwards in elevation, which decreases the value of the height above sea level.

Front

If a rock climber ascends 0.18 miles from 0.74 miles above sea level, what is their new elevation?

Back

0.74 + 0.18 = 0.92 miles above sea level.

Front

What is the final elevation of a rock climber who ascends 0.18 miles and then descends 0.8 miles from 0.74 miles above sea level?

Back

0.74 + 0.18 - 0.8 = 0.12 miles above sea level.

Front

What is the value of the expression -7 + 3.43 - 8.2?

Back

-11.77

Front

How do you combine positive and negative decimals?

Back

Combine them by adding their absolute values and applying the sign of the larger absolute value. For example, -7 + 3.43 = -3.57.