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ORDER OF OPERATIONS. LESSON 2. Something to Think About: Does the order matter?. -5 + 4 = 10 – 3 + 1 = 4 x 6 ÷ 2 = 9 ÷ 3 x 6 = . 4 + (-5) = 1 – 3 + 10 = 4 ÷ 2 x 6 = 6 ÷ 3 x 9 = . How about now?. 5 x 2 – 4 = What would happen if we did the subtractions first/ 2 – 4 x 5 =
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ORDER OF OPERATIONS LESSON 2
Something to Think About: Does the order matter? • -5 + 4 = • 10 – 3 + 1 = • 4 x 6 ÷ 2 = • 9 ÷ 3 x 6 = • 4 + (-5) = • 1 – 3 + 10 = • 4 ÷ 2 x 6 = • 6 ÷ 3 x 9 =
How about now? • 5 x 2 – 4 = • What would happen if we did the subtractions first/ • 2 – 4 x 5 = • So how do we know what to do first?
RULES TO FOLLOW • Rule 1: • Simplify all operations inside brackets. • Rule 2: • Simplify all exponents, working from left to right. • Rule 3: • Perform all multiplications and divisions, working from left to right. • Rule 4: • Perform all additions and subtractions, working from left to right.
BEDMAS • B – Brackets • E – Exponents • D – Division from left to right • M – Multiply from left to right • A – Add from left to right • S – Subtract from left to right
EXAMPLE 1 • Evaluate this arithmetic expression • 18 + 36 ÷ 32 • SOLUTION:
EXAMPLE 1 • Evaluate this arithmetic expression • 18 + 36 ÷ 32 • SOLUTION:
EXAMPLE 1 • Evaluate this arithmetic expression • 18 + 36 ÷ 32 • SOLUTION:
EXAMPLE 2 • Evaluate 52 x 24 • Solution:
EXAMPLE 2 • Evaluate 52 x 24 • Solution:
EXAMPLE 2 • Evaluate 52 x 24 • Solution:
EXAMPLE 2 • Evaluate 52 x 24 • Solution:
EXAMPLE 3 • EVALUATE 289 – (3 X 5)2
EXAMPLE 3 • EVALUATE 289 – (3 X 5)2 • SOLUTION:
EXAMPLE 3 • EVALUATE 289 – (3 X 5)2 • SOLUTION:
EXAMPLE 3 • EVALUATE 289 – (3 X 5)2 • SOLUTION:
EXAMPLE 3 • EVALUATE 289 – (3 X 5)2 • SOLUTION:
EXAMPLE 4 • EVALUATE 8 + (2 x 5) x 34÷ 9
EXAMPLE 4 • EVALUATE 8 + (2 x 5) x 34÷ 9 • SOLUTION:
EXAMPLE 4 • EVALUATE 8 + (2 x 5) x 34÷ 9 • SOLUTION:
EXAMPLE 4 • EVALUATE 8 + (2 x 5) x 34÷ 9 • SOLUTION:
EXAMPLE 4 • EVALUATE 8 + (2 x 5) x 34÷ 9 • SOLUTION:
EXAMPLE 4 • EVALUATE 8 + (2 x 5) x 34÷ 9 • SOLUTION:
EXAMPLE 4 • EVALUATE 8 + (2 x 5) x 34÷ 9 • SOLUTION:
Example 5 • When you have a division questions like this, it is the same as having brackets around everything on the top and bottom.
YOU TRY THESE • 1) 32 x 43 • 2) 27 – 256 ÷ 43 • 3) 9 x (5 + 3)2 – 144 • 4) 7 + 3 x 24 ÷ 6
1) 32 x 43 • Solution:
2) 27 – 256 ÷ 43 • Solution:
3) 9 x (5 + 3)2 – 144 • Solution:
4) 7 + 3 x 24 ÷ 6 • Solution: