Operations with Rational Numbers
This worksheet focuses on performing operations (addition, subtraction, multiplication, division) with rational numbers, including fractions, decimals, and mixed numbers. It covers simplification and problem-solving.
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Operations with Rational Numbers
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Read each question carefully and perform the indicated operations with rational numbers. Simplify all answers to their lowest terms.
1. What is the sum of -3/4 and 1/6?
-11/12
-7/12
7/12
11/12
2. Evaluate the expression: (2.5) * (-0.8)
2.0
-2.0
0.2
-0.2
3. The product of two rational numbers with different signs is always .
4. To divide two fractions, you multiply the first fraction by the of the second fraction.
5. A recipe calls for 2 1/3 cups of flour. If you want to make 1.5 times the recipe, how much flour do you need? Show your work.
6. On a number line, plot the approximate location of -1.75 and 3/2. Explain how you determined their positions.
7. The reciprocal of a negative rational number is always positive.
True
False
8. When adding or subtracting rational numbers, you must always find a common denominator.
True
False
Match the operation with the correct result.
9. 5/8 + 1/4
a. 1/2
10. 3/2 - 1
b. 0.75
11. 0.5 * 1.5
c. 7/8