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 rational numbers with different signs?

Back

To add rational numbers with different signs, find the difference of their absolute values and use the sign of the rational number with the greater absolute value.

Front

What is the first step in subtracting rational numbers?

Back

Rewrite the subtraction expression as an addition expression by adding the opposite of the number being subtracted.

Front

How do you evaluate the expression -$17.23 + $15.48?

Back

Combine the values: -$17.23 + $15.48 = -$1.75.

Front

What is the result of the expression 6.5 - (-7) - (-8) when rewritten as an addition expression?

Back

The expression becomes 6.5 + 7 + 8.

Front

How do you rewrite -4 - 8 - (-3.5) as an addition expression?

Back

Rewrite it as -4 + (-8) + 3.5.

Front

What is the result of the expression -3/4 + 1/2 - (-1/4)?

Back

The result is 0.

Front

What is the rule for subtracting a negative number?

Back

Subtracting a negative number is the same as adding its positive counterpart.

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, and is always non-negative.

Front

How do you combine like terms when adding rational numbers?

Back

Combine the coefficients of like terms while keeping the common denominator.