When you divide two rational numbers, the quotient is also a rational number. You can use the rules below to find the sign of the quotient. The sign rules are the same as the ones used for dividing integers.
Example
Find each quotient.
1.
–6
÷ 0.5
Alternative Solutions :
–6 ÷
0.5 = –12 Numbers have
different signs. The quotient is negative.
2.
–7.4
÷ (–2)
Alternative Solutions :
–7.4 ÷ (–2)
= 3.7 Numbers have the same sign.
The quotient is positive.
Two numbers whose product is 1 are called multiplicative inverses
or reciprocals.
These examples demonstrate the Multiplicative Inverse Property.
In Lesson 2–4, you learned that subtracting a number is the
same as adding its additive inverse. In the same way, dividing by a number is
the same as multiplying by its multiplicative inverse or reciprocal.
Use the rules for dividing rational numbers to determine the
sign of the quotient.
Example
Find each quotient.
Example
Cooking Link
5.
How much sugar do you need to make one dozen cookies?
Alternative Solutions :
Divide
the recipe by 2. The recipe calls for ⅔ cup of sugar.
You can use what you know about dividing rational numbers to evaluate
algebraic expressions.
Example
Sumber
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