Adding and Subtracting Rational Numbers-ACC

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, (-4) + (-6) = -(4 + 6) = -10.

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; if the negative number is larger, the result is negative.

Front

What is the formula for subtracting rational numbers?

Back

To subtract a rational number, you add its opposite. For example, a - b = a + (-b).

Front

Solve: -3.42 + 1.679 = ?

Back

-1.741

Front

Solve: -0.15 + -0.85 + 12.5 = ?

Back

11.5

Front

How do you represent a gain and a loss in a football game using integers?

Back

A gain is represented as a positive integer and a loss as a negative integer. For example, gaining 9 yards and losing 22 yards can be represented as 9 + (-22).

Front

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

Back

The result is the difference between the two numbers, with the sign of the number with the larger absolute value.

Front

Solve: 9 + -6.73 = ?

Back

2.27

Front

What does it mean to add two rational numbers with different signs?

Back

When adding 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.