Multiplying and Dividing Rational Numbers
Practice multiplying and dividing rational numbers, including fractions, decimals, and integers, with this Grade 8 math worksheet.
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Multiplying and Dividing Rational Numbers
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Read each question carefully and perform the indicated operations with rational numbers. Show your work where necessary.
1. Multiply the following rational numbers. Express your answer in simplest form.
a) ( -3/4 ) * ( 2/5 )
b) ( 0.75 ) * ( -1.2 )
c) ( -2 1/3 ) * ( -1/7 )
2. Divide the following rational numbers. Express your answer in simplest form.
a) ( 5/8 ) ÷ ( -3/4 )
b) ( -4.5 ) ÷ ( 0.9 )
c) ( -3 1/2 ) ÷ ( -1 1/4 )
3. Complete the following statements.
a) When you multiply two rational numbers with the same sign, the product is always .
b) To divide by a fraction, you multiply by its .
c) The product of any rational number and zero is .
4. Which expression has a value of -0.25?
( -1/2 ) * ( 1/2 )
( 0.5 ) ÷ ( -2 )
( -1/4 ) ÷ ( -1 )
( -0.1 ) * ( -2.5 )
5. Determine if each statement is True or False.
a) The reciprocal of a negative fraction is always a positive fraction.
True
False
b) Dividing by 0.5 is the same as multiplying by 2.
True
False
6. A recipe calls for 2/3 cup of flour per serving. If you want to make 2.5 servings, how much flour do you need?
7. Sarah has a ribbon that is 7.5 meters long. She wants to cut it into pieces that are 0.25 meters long. How many pieces can she cut?