Calculate with integers and rational numbers
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Log in to continueChoose sensible exact calculations and estimates with signed numbers, fractions and decimals.
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Calculate 12 + (-5) × 3.
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Answer: -3
- Multiply first: (-5) × 3 = -15.
- Then 12 + (-15) = -3.
- (-5) × 3 = -15.
- 12 + (-15) = -3.
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Curriculum reference
Victorian Curriculum F–10 Version 2.0
Pi Leo practice scope
Choose sensible exact calculations and estimates with signed numbers, fractions and decimals.
Read the official VCAA curriculum description (VC2M8N04)
These quizzes practise concepts within this topic. Multiple-choice answers alone do not demonstrate drawing, conducting an investigation or using a digital tool.
Activities to practise beyond the quiz
- Supported by the guided activity; selecting an MCQ does not demonstrate this action.
- VC2M8N04-C01Calculate with positive and negative integers.
- VC2M8N04-C02Combine rational-number operations using exact fractions.
- VC2M8N04-C03Use efficient estimates to check calculations.
- VC2M8N04-C04Choose and use a digital tool to check rational-number calculations.
- VC2M8N04-C05Use subtraction and multiplication with rational numbers.
- VC2M8N04-C06Use integer division and subtraction in a calculation.
- VC2M8N04-C07Divide rational decimals efficiently.
- VC2M8N04-C08Apply and explain calculate with integers and rational numbers using calculate and explain each step.
- VC2M8N04-C09Apply and explain calculate with integers and rational numbers using read and connect representations.
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Subskills
These practice subskills map to the curriculum topic. Guided activities cover skills beyond multiple-choice questions.
Descriptor-derived subskills
- D01Signs and operation orderCalculate with positive and negative integers.
- D02Keep fractional values exactCombine rational-number operations using exact fractions.
- D03Estimate before accepting an answerUse efficient estimates to check calculations.
- D04Subtract and multiply fractionsUse subtraction and multiplication with rational numbers.
- D05Divide signed integersUse integer division and subtraction in a calculation.
- D06Scale both numbers togetherDivide rational decimals efficiently.
- D07Calculate and explain each stepApply and explain calculate with integers and rational numbers using calculate and explain each step.
- D08Read and connect representationsApply and explain calculate with integers and rational numbers using read and connect representations.