This worksheet builds fluency with the four operations, teaching students to add, subtract, multiply and divide integers and rational numbers using efficient strategies. The worksheet is split into warm-up questions, standard questions and then extension questions to test you.
The concepts it covers:
- Multiplying or dividing two numbers with the same sign gives a positive result; different signs give a negative result.
- A negative number raised to an even power is positive; raised to an odd power, it stays negative — e.g. (−1)⁴ = 1, but (−1)⁵ = −1.
- The 4 operations apply the same way to rational numbers (fractions and decimals) as they do to whole numbers, sign rules included.
- Order of operations (brackets, then multiplication/division, then addition/subtraction) still applies with negative numbers.
- Subtracting a negative number is the same as adding its positive — e.g. 7 − (−4) = 7 + 4.
What your child will practise:
- Applying the sign rules for multiplication and division: same signs → positive, different signs → negative.
- Evaluating powers of negative numbers by tracking whether the exponent is even or odd.
- Combining integer and rational number operations (fractions, decimals) using the same sign rules.
- Applying the correct order of operations in expressions containing negative numbers.
- Applying the 4 operations with negative numbers to real contexts — money, temperature, depth, share prices.
Every section opens with a worked example, and the download includes a full answer key with step-by-step solutions and teaching notes on the mistakes students most commonly make.
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