Adding/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 negative rational numbers?

Back

To add two negative rational numbers, you add their absolute values and keep the negative sign. For example, -7.8 + (-0.8) = -8.6.

Front

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

Back

The result depends on the absolute values of the numbers. Subtract the smaller absolute value from the larger one 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, you can add the opposite of the number being subtracted. For example, a - b is the same as a + (-b).

Front

What is the sum of -5 and -3?

Back

The sum is -8, since you add the absolute values and keep the negative sign.

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 result over the original denominator. For example, 7 1/2 = (7*2 + 1)/2 = 15/2.

Front

What is 7 1/2 - 5 1/3?

Back

The result is 2 1/6.

Front

If the temperature in Chicago is -5 degrees and Moscow is 8 degrees colder, what is the temperature in Moscow?

Back

The temperature in Moscow is -13 degrees.

Front

What is the result of 9 + (-6.73)?

Back

The result is 2.27.

Front

What does it mean to combine negative accounts?

Back

Combining negative accounts means adding their values together, resulting in a larger negative number. For example, -$50 + -$43 = -$93.