Operations with Rational Numbers
This worksheet focuses on performing arithmetic operations (addition, subtraction, multiplication, and division) with rational numbers, including fractions, decimals, and mixed numbers, at a Grade 10 level.
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Operations with Rational Numbers
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Read each question carefully and perform the indicated operations with rational numbers. Show all your work for full credit.
1. What is the result of adding 3/4 and 1/3?
4/7
11/12
7/12
1
2. Evaluate: -2.5 * 4.2
-10.5
10.5
-6.7
6.7
1. The product of two rational numbers with different signs is always .
2. To add or subtract fractions, you must first find a denominator.
3. The reciprocal of -5/2 is .
1. Simplify the expression: (2/5) ÷ (-4/15)
2. A recipe calls for 1 3/4 cups of flour. If you want to make 2.5 times the recipe, how much flour do you need?
1. The sum of two rational numbers is always a rational number.
True
False
2. Dividing a non-zero rational number by zero results in an undefined value.
True
False
Match each expression with its simplified value.
1. 0.75 + 1/2
a. 0.5
2. 2/3 * 0.75
b. 1.25
3. 5/8 - 0.125
c. 0.625
1. Use the number line below to illustrate 1/2 + (-3/4). Mark your starting and ending points.