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Adding and Subtracting Rational Numbers

Grade 12 worksheet on adding and subtracting rational numbers, including fractions, decimals, and mixed numbers.

Grade 12 Math Number SenseIntegers and Rational NumbersAdding and Subtracting Rational Numbers
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Includes

3 Short AnswerFill in the BlanksMultiple ChoiceTrue / Falsebox

Standards

CCSS.MATH.CONTENT.7.NS.A.1

Topics

rational numbersadditionsubtractionfractionsdecimalsgrade 12
9 sections · Free to use · Printable
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Adding and Subtracting Rational Numbers

Name:

Date:

Score:

Carefully read each question and solve the problems involving addition and subtraction of rational numbers. Show all your work.

1. Add the following fractions and simplify your answer: \(\frac{3}{4} + \frac{1}{6}\)

2. Calculate the sum: \(\frac{5}{8} + \frac{7}{12}\)

3. Subtract: \(15.75 - 8.23\) =  

4. Find the difference: \(23.4 - 17.85\) =  

5. What is the sum of \(2\frac{1}{2}\) and \(3\frac{3}{4}\)?

a

\(5\frac{1}{4}\)

b

\(6\frac{1}{4}\)

c

\(5\frac{3}{4}\)

d

\(6\frac{3}{4}\)

6. Evaluate: \(4\frac{1}{3} - 1\frac{5}{6}\)

a

\(2\frac{1}{2}\)

b

\(3\frac{1}{2}\)

c

\(2\frac{5}{6}\)

d

\(3\frac{5}{6}\)

7. The sum of two rational numbers is always a rational number.

T

True

F

False

8. A recipe calls for \(1\frac{3}{4}\) cups of flour. If you only have \(\frac{2}{3}\) cup of flour, how much more flour do you need?

9. Use the number line to represent the addition: \(\frac{1}{2} + \frac{1}{4}\)

01/41/23/41

10. A stock decreased by \(1.25\) points on Monday and then increased by \(0.75\) points on Tuesday. If it started at \(50.5\) points, what is its final value?