Mathematics, 10.03.2021 18:00 ezelle

This is not a question, this is for who-ever needs it. Order of Operations

Remember the order of operations starts with the parentheses and moves down the list.
1. Parentheses
2. Exponents
3. Multiplication/Division
4. Addition/Subtraction

Example 1

Evaluate the expression 62 + 35 ÷ 3.

Steps to Simplify

Calculations

The first step to evaluating this expression would be to simplify the exponents.

36 + 243 ÷ 3

62 = 6 × 6 = 36
and
35 = 3 × 3 × 3 × 3 × 3 = 243

The next step is to evaluate any multiplication and/or division from left to right.

36 + 81

243 ÷ 3 = 81

Last, complete any addition and/or subtraction from left to right.

117

36 + 81 = 117

Therefore, 62 + 35 ÷ 3 = 117.

Example 2

Evaluate the expression 5 × (2/3)3 + 70 − (2×4)2.

Steps to Simplify

Calculations

The first step would be to simplify the expression in the parentheses.

5 × (2/3)3 + 70 − 82

2 × 4 = 8

Now you simplify the exponents.

5 × 8/27 + 70 − 64

(2/3)3 = 2/3 × 2/3 × 2/3 = 8/27

82 = 8 × 8 = 64

Next, complete all multiplication and/or division from left to right.

1 13/27 + 70 − 64

5/1 × 8/27 = 40/27 = 1 13/27

Last, complete all addition and/or subtraction from left to right.

71 13/27 − 64

7 13/27

1 13/27 + 70 = 71 13/27

71 13/27 − 64 = 7 13/27

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