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Learn adding and subtracting integers using number lines with positive and negative integers. Practice exercises included to strengthen understanding.
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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 = 47 × = 94 –72 ÷ –6 = 3 × –8 ÷ = 2.4 Starter - Complete the following: –24 9 –7 54 –11 –15 –160 2 –10 12
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.
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
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.
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
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
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.
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
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
Exercise C • Work out the following • 4 + – 2 • 2 + – 3 • 4 – –2 • 5 – – 4 • 15 – – 3 • 4 – – 6 • – 9 – – 5 • – 10 + – 7
Exercise D Ten Ticks. Level 5. Pack 4. Page 3
Exercise E Ten Ticks. Level 5. Pack 4. Page 3
Ordered addition square Copy the grid and work out the numbers in the empty squares
Mixed addition square Copy the grid and work out the numbers in the empty squares
Ordered subtraction square Copy the grid and work out the numbers in the empty squares
Mixed subtraction square Copy the grid and work out the numbers in the empty squares
Integer cards - addition and subtraction Complete the sums
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.