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Worksheet 3.0 (page 1 of 3) Simplifying integer expressions Simplifying integer expressions requires the knowledge of integer arithmetic and order of operation. Here are two examples: Example 1 Simplify 4 – 7 + 8 – 6 This question can be completed by adding in the appropriate number of positive and negative units. Please note that –7 is being interpreted as its equivalent expression + –7, as they both result in the same answer. However, it is possible to use either interpretation. Make as many lots of zero units as possible. Remove the zero units. Leaves –1. Therefore 4 – 7 + 8 – 6 = –1. Example 2 Simplify 3 – 5 2 + 3 –4 Multiplication is calculated before addition and subtraction, therefore 5 2 and 3 –4 are calculated first. 5 2 = 10 3 –4 = –12 CSF Sample Units: Years 8 to 10 Maths – Introducing integers Worksheet 3.0 (page 2 of 3) Now the expression can be rewritten as 3 – 10 + –12 (remember, taking out 10 positive units is the same as putting in 10 negative units). Making and removing lots of zero units: Leaves –19. Therefore 3 – 5 2 + 3 –4 = –19. 1 Simplify each of the following expressions using your units. a) 3 – 5 + 4 b) 7 + –2 – 1 c) –4 + 10 – 7 d) –5 + 3 – 5 e) 10 – 8 + 3 – 2 f) 5 – 4 + 7 – 8 g) –2 + 3 – 4 + 5 – 6 + 7 h) 6 – 10 + 3 – 5 + 4 – 2 CSF Sample Units: Years 8 to 10 Maths – Introducing integers Worksheet 3.0 (page 3 of 3) 2 3 4 Simplify each of the following expressions. a) 2 + 3 –5 b) 5 – 2 –6 c) –2 6 + 10 d) –3 –5 – 7 e) 4 –5 – 8 f) 11 – 4 –2 g) 3 + –4 2 – 1 h) 6 – 3 2 + 9 Simplify each of the following expressions. a) 3 4 – 2 –5 b) –2 4 + 1 –6 c) –5 –2 – 3 8 d) 6 3 – –2 7 e) 7 – –3 10 + 3 2 f) 8 + 4 –5 – 7 –3 + 6 Make up two expressions of your own to be simplified. Share these with other students in your class for calculation. CSF Sample Units: Years 8 to 10 Maths – Introducing integers