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Addition of positive and negative integers

Maths•Key Stage 3•Arithmetic procedures with integers and decimals

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Lesson Description

I can use the mathematical structures that underpin addition to add positive and negative integers.

Lesson Overview

Key learning points

  • It can help to think of a context when doing a calculation.
  • Addition of negative integers can be made easier by considering zero pairs.
  • Addition of large negative integers can be made easier using partioning to make zero pairs.

Keywords

Additive inverse
The additive inverse of a number is a number that, when added to the original number, gives the sum of 0.
Zero pair
A number and its additive inverse make a zero pair.
Absolute value
The absolute value of a number is its distance from zero. E.g. 5 and (−5) are both 5 away from zero and so both have an absolute value of 5

Common mistakes

  • That addition will always make the result bigger.

    If pupils are struggling with the concept that adding can make an integer smaller encourage them to use counters and form zero pairs.

Lesson Video

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Addition of positive and negative integers - Maths - Key Stage 3 | Infoverse Digital-Ed