8-3.4 FLASHCARD 2023-2024 B6 Add and Subtract 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 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 process for subtracting rational numbers?

Back

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

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. It is always non-negative.

Front

How do you find the range of a set of numbers?

Back

The range is found by subtracting the smallest number in the set from the largest number.

Front

What does it mean to descend in terms of elevation?

Back

To descend means to move downwards from a higher elevation to a lower elevation.

Front

If the temperature is 3 degrees and it drops by 7.5 degrees, how do you calculate the new temperature?

Back

Subtract 7.5 from 3: 3 - 7.5 = -4.5 degrees.

Front

What is the result of adding -3 and +5?

Back

The result is +2, because you add the absolute values and keep the sign of the larger absolute value.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place that over the original denominator.

Front

What is the significance of negative numbers in real-world contexts?

Back

Negative numbers can represent values below zero, such as temperatures below freezing, depths below sea level, or debts.