Practise 1. Simplify. Use the order of operacions. (a) 5 - (3 - 4) (b) (5 – 7) - (3 - 4) (c) -3(-4) - (5 – 7)

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mily
Number Sense and Numeracy: Order of Operations
When calculating expressions, we follow the order of operations:
Order of Operations
1. Simplify brackets.
2. Then simplify powers.
3. Multiply and divide.
4. Then add and subtract.
Example 1
Example 2
Simplify
-3(2 - 4) – (-2 + 4).
Add (-3)' to the product
of -2 and 4.
Solution
Solution
-3(2 - 4) - (-2 + 4)
= -3(-2) - (2)
= 6 - 2
= 4
(-2)(4) + (-3)'
= (-2)(4) + 9
= -8 + 9
= 1
Practise
1. Simplify. Use the order of operations.
(a) 5 - (3 - 4)/
(b) (5 – 7) – (3 – 4)
(c) -3(-4) – (5 – 7)
(d) (3)(2) – (3 + 5)
(e) -(5- 9)- (-2)(2)
(f) (4 - 3) - 2(3 – 4)
(g) 4(-2) - (-8 + 4)
3. Match each expression with the
corresponding sentence.
(a) Find the sum of -3,-8, and
(b) -8 is added to the product c
and -2.
(c) Subtract -8 from the produ
and -2.
(d) Divide -8 by -2 and add -
(c) Decrease the quotient of -
by -3.
i. -3(-2) + (-8)
ii. -8 + (-2) + (-3)
iii. -8 (-2) -(-3)
iv. -8 + (-3) + (-2)
v. (-3)(-2) – (-8)
2. Simplify.
(a) 2(-3): - 4(-2)
(b) -4(-2)3 - 3(-4)²
(c) (-3 - 2)2 - (2 + 4)2
(d) 3(=2 +.4)3 – 2(-4 + 1):
(e) 2(-1 - 3) - (1 + 3)²
(f) 5(-2)2 - 3(-1- 2)3
(g) 3(-1- 2) - (5- 7)3
(h) 5(-2 + 1)3 -(-3-2):
(i) 4(1- 3)3 - (4 - 7)2
(j) -2(1- 4)3- 3(1 - 5)
4. Increase the sum of -3 and 5 by
5. Divide the sum of 7 and -16 by
6. By how much is the sum of-8
more than -4?
7. How much less is the sum of -
chan the product of 4 and -2?
8. Divide -42 by (-2)2.
9. Add -3 and 42 to the product
and -2.
Number Sense and Numeracy:
Order of Operations
Transcribed Image Text:mily Number Sense and Numeracy: Order of Operations When calculating expressions, we follow the order of operations: Order of Operations 1. Simplify brackets. 2. Then simplify powers. 3. Multiply and divide. 4. Then add and subtract. Example 1 Example 2 Simplify -3(2 - 4) – (-2 + 4). Add (-3)' to the product of -2 and 4. Solution Solution -3(2 - 4) - (-2 + 4) = -3(-2) - (2) = 6 - 2 = 4 (-2)(4) + (-3)' = (-2)(4) + 9 = -8 + 9 = 1 Practise 1. Simplify. Use the order of operations. (a) 5 - (3 - 4)/ (b) (5 – 7) – (3 – 4) (c) -3(-4) – (5 – 7) (d) (3)(2) – (3 + 5) (e) -(5- 9)- (-2)(2) (f) (4 - 3) - 2(3 – 4) (g) 4(-2) - (-8 + 4) 3. Match each expression with the corresponding sentence. (a) Find the sum of -3,-8, and (b) -8 is added to the product c and -2. (c) Subtract -8 from the produ and -2. (d) Divide -8 by -2 and add - (c) Decrease the quotient of - by -3. i. -3(-2) + (-8) ii. -8 + (-2) + (-3) iii. -8 (-2) -(-3) iv. -8 + (-3) + (-2) v. (-3)(-2) – (-8) 2. Simplify. (a) 2(-3): - 4(-2) (b) -4(-2)3 - 3(-4)² (c) (-3 - 2)2 - (2 + 4)2 (d) 3(=2 +.4)3 – 2(-4 + 1): (e) 2(-1 - 3) - (1 + 3)² (f) 5(-2)2 - 3(-1- 2)3 (g) 3(-1- 2) - (5- 7)3 (h) 5(-2 + 1)3 -(-3-2): (i) 4(1- 3)3 - (4 - 7)2 (j) -2(1- 4)3- 3(1 - 5) 4. Increase the sum of -3 and 5 by 5. Divide the sum of 7 and -16 by 6. By how much is the sum of-8 more than -4? 7. How much less is the sum of - chan the product of 4 and -2? 8. Divide -42 by (-2)2. 9. Add -3 and 42 to the product and -2. Number Sense and Numeracy: Order of Operations
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