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KS3 Mathematics

KS3 Mathematics. N2 Negative numbers. N2 Negative numbers. A. Contents. N2.2 Adding and subtracting integers. Multiplying and dividing integers – Starter. –3 × 8 =. –36 ÷ = –4. 42 ÷ = –6. ÷ –9 = –6. × –8 = 88. –7 × = 105. –4 × –5 × –8 =.

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KS3 Mathematics

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  1. KS3 Mathematics N2 Negative numbers

  2. N2 Negative numbers • A Contents N2.2 Adding and subtracting integers

  3. Multiplying and dividing integers – Starter –3 × 8 = –36 ÷ = –4 42 ÷ = –6 ÷ –9 = –6 × –8 = 88 –7 × = 105 –4 × –5 × –8 = 47 × = 94 –72 ÷ –6 = 3 × –8 ÷ = 2.4 Starter - Complete the following: –24 9 –7 54 –11 –15 –160 2 –10 12

  4. Adding integers We can use a number line to help us add positive and negative integers. –2 + 5 = = 3 -2 3 To add a positive integer we move forwards up the number line.

  5. Adding integers We can use a number line to help us add positive and negative integers. –3 + –4 = = –7 -7 -3 To add a negative integer we move backwards down the number line. –3 + –4 is the same as –3 – 4

  6. Subtracting integers We can use a number line to help us subtract positive and negative integers. 5 – 8 = = –3 -3 5 To subtract a positive integer we move backwards down the number line.

  7. Subtracting integers We can use a number line to help us subtract positive and negative integers. 3 – –6 = = 9 3 9 To subtract a negative integer we move forwards up the number line. 3 – –6 is the same as 3 + 6

  8. Subtracting integers We can use a number line to help us subtract positive and negative integers. –4 – –7 = = 3 -4 3 To subtract a negative integers we move forwards up the number line. –4 – –7 is the same as –4 + 7

  9. Adding and subtracting integers summary To add a positive integer we move forwards up the number line. To add a negative integer we move backwards down the number line. a + –b is the same as a – b. To subtract a positive integer we move backwards down the number line. To subtract a negative integer we move forwards up the number line. a – –b is the same as a + b.

  10. Exercise A • Work out the following • –5 + 7 • – 3 + 5 • – 6 + 9 • 4 – 6 • +5 – 6 • 4 – 10 • 2 – 6 • 3 – 3 • 3 – 6 • – 2 – 3 • – 3 – 3 • 0 – 5 • 1 + 4 – 6 • 5 – 11 – 2 • – 8 + 6

  11. Exercise B • Work out the following • – 8 + 9 • – 6 + 10 • – 2 + 8 • 0 – 8 • 3 – 10 • 8 – 10 • 7 – 9 • 4 – 10 • 5 – 9 • – 8 + 8 • 6 – 12 – 4 • 7 – 10 + 3 • – 3 + 10 – 7 • 6 – 12 + 6 • 8 – 16 – 3

  12. Exercise C • Work out the following • 4 + – 2 • 2 + – 3 • 4 – –2 • 5 – – 4 • 15 – – 3 • 4 – – 6 • – 9 – – 5 • – 10 + – 7

  13. Exercise D Ten Ticks. Level 5. Pack 4. Page 3

  14. Exercise E Ten Ticks. Level 5. Pack 4. Page 3

  15. Ordered addition square Copy the grid and work out the numbers in the empty squares

  16. Mixed addition square Copy the grid and work out the numbers in the empty squares

  17. Ordered subtraction square Copy the grid and work out the numbers in the empty squares

  18. Mixed subtraction square Copy the grid and work out the numbers in the empty squares

  19. Complete this table

  20. Integer cards - addition and subtraction Complete the sums

  21. Adding and subtracting integers summary To add a positive integer we move forwards up the number line. To add a negative integer we move backwards down the number line. a + –b is the same as a – b. To subtract a positive integer we move backwards down the number line. To subtract a negative integer we move forwards up the number line. a – –b is the same as a + b.

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