Operations with Rational Numbers
A Grade 7 math worksheet focusing on addition, subtraction, multiplication, and division of rational numbers, including fractions, decimals, and integers.
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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 your work where necessary.
1. Which of the following numbers is a rational number?
√2
π
3/4
0.121221222...
2. What is the sum of -5.2 and 3.8?
-9.0
-1.4
1.4
9.0
3. When adding two rational numbers with different signs, you should their absolute values and keep the sign of the number with the absolute value.
4. The product of two negative rational numbers is always a number.
5. Calculate: -3/4 + 1/2. Show your work.
6. Use the number line below to show the operation: 2.5 - 4.
7. The reciprocal of a negative rational number is always positive.
True
False
8. Dividing by a rational number is the same as multiplying by its reciprocal.
True
False
9. A recipe calls for 2 1/4 cups of flour. If you want to make 1/3 of the recipe, how much flour do you need?
10. The temperature dropped by 7.5 degrees Celsius over 3 hours. If the initial temperature was 5 degrees Celsius, what is the final temperature?