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Section 1.1 · Number

Adding and subtracting integers

Add and subtract with positive and negative integers.

6 teaching slides 57 practice questions Worked answers for every question

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2 · Key words

integerA positive or negative whole number, including zero.
negative numberA number less than zero, written with a minus sign.
inverseThe opposite of something; the inverse of adding 5 is subtracting 5.
inverse operationThe operation that undoes another one. Addition and subtraction are inverse operations.
sumThe result of adding numbers together.
differenceThe result of subtracting one number from another.

3 · Summary of the sectionrevise from this

  • Integers are the positive and negative whole numbers together with zero: … −3, −2, −1, 0, 1, 2, 3 …
  • Adding a positive number moves you right on the number line; subtracting a positive number moves you left.
  • Adding a negative is the same as subtracting: a + (−b) = a − b.
  • Subtracting a negative is the same as adding: a − (−b) = a + b.
  • The further left a number is on the number line, the smaller it is, so −7 < −3 < 0 < 2.
PDFPrintable worksheet All 57 questions, space to work PDFWorked answers Full solutions, not just the answer

Video lessons4 videos

Math Antics - Negative Numbers

American mathantics

What negative numbers are and where they sit on the number line — the foundation for adding and subtracting integers.

Math Antics - Adding & Subtracting Integers

American mathantics

Animated, step-by-step addition and subtraction of positive and negative integers on the number line.

Addition and Subtraction involving Negatives

British Corbettmaths

British-curriculum walkthrough of calculations such as −5 + 8 and 4 − (−3), including the double-negative rule.

Adding and subtracting negative numbers

American stretchKhan Academy

Builds the intuition for why subtracting a negative adds, rather than just giving the rule.

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4 · Practice57 questions, easiest first

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1.2 Multiplying and dividing integers