order of operations

order of operations

Order of Operations
BODMAS

Operations

“Operations” mean things like add, subtract, multiply, divide, squaring, etc. If it isn’t a number it is probably an operation.

But, when you see something like…

7 + (6 × 52 + 3)

… What part should you calculate first?

Start at the left and go to the right?
Or go from right to left?

Warning: Calculate them in the wrong order, and you can get a wrong answer !

So, long ago people agreed to follow rules when doing calculations, and they are:

Order of Operations

Do things in Brackets First

4 × (5 + 3)=4 × 8=32
4 × (5 + 3)=20 + 3=23(wrong)

Exponents (Powers, Roots) before Multiply, Divide, Add or Subtract

5 × 22=5 × 4=20
5 × 22=102=100(wrong)

Multiply or Divide before you Add or Subtract

2 + 5 × 3=2 + 15=17
2 + 5 × 3=7 × 3=21(wrong)

Otherwise just go left to right

30 ÷ 5 × 3=6 × 3=18
30 ÷ 5 × 3=30 ÷ 15=2(wrong)

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