Multiplying Rational Numbers
This worksheet focuses on multiplying rational numbers, including fractions, decimals, and mixed numbers, for Grade 12 students.
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Multiplying Rational Numbers
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Read each question carefully and show all your work. Simplify your answers to their lowest terms.
1. Multiply the following fractions. Express your answer in simplest form:
a) (3/4) × (2/5) =
b) (-7/8) × (4/3) =
c) (6/11) × (5/12) =
2. Calculate the product of the following decimals:
a) 0.25 × 1.5 =
b) -3.4 × 0.05 =
c) 12.8 × (-0.1) =
3. Multiply the following mixed numbers. Express your answer as a mixed number in simplest form:
a) 1 (1/2) × 2 (1/3) =
b) -3 (1/4) × 1 (2/5) =
4. Which of the following expressions is equivalent to (-5/6) × (3/10)?
1/4
-1/4
1/20
-1/20
5. State whether each statement is True or False:
a) The product of two negative rational numbers is always positive.
True
False
b) When multiplying a positive rational number by a negative rational number, the product is always negative.
True
False
6. A recipe calls for 2 (1/4) cups of flour. If you want to make 1 (1/2) times the recipe, how much flour do you need?
7. Represent the multiplication of (1/2) × 3 on the number line. Show the jumps or sections.