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Real numbers practice

Adding and subtracting rational numbers worksheets

Create fourteen signed sums and differences with integers, decimals, fractions or a mixture. Each question has two or three operands and an exact answer.

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Read each operation and each number sign separately. For fractions, use a common denominator and reduce the final answer.

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Keep the value and its sign together

A subtraction sign tells you what to do; a negative sign is part of a number. Parentheses make that distinction visible when a sum or difference contains negative operands.

Choose integers, decimal tenths and fractions independently. The fourteen questions balance your selected number types, with two or three operands per question. Fraction answers are reduced exactly.

Learning objective

What this activity builds

Add and subtract signed rational numbers while keeping decimal place value and fraction equivalence correct.

Worked example

Calculate −3/4 − (−1/2).

−1/4.

Subtracting a negative adds its opposite: −3/4 + 1/2. Write 1/2 as 2/4, then combine the numerators: (−3 + 2)/4 = −1/4.

Teaching notes

Make the practice count

  • Begin with one number type before choosing a mixed worksheet.
  • Circle the operation sign and underline a negative number sign.
  • For three terms, work from left to right.
  • Use an estimate or number line to check whether the final sign makes sense.

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Math SheetNameScore/ 14TeacherDateAdding and Subtracting Rational NumbersEvaluate each expression. Write fractional answers in simplest form.1.21--192.-84+593.-33-35--394.-6.0--0.5--0.25.-37+-5+-16.40+-27.-29--14-28.-27+88+689.33-5710.57+-2211.47+43+-3512.0.8+3.013.-5.9--1.214.5.6--7.8math-sheet.comPage 1 / 1

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