Order of operations

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TACHS Math › Order of operations

Questions 1 - 3

1

What is the value of $(3+1)^2\times 2-(2\times2)+15$ ?

Explanation

Make sure to follow the order of operations.

Start by simplifying what is found in the parentheses.

$(3+1)^2\times 2-(2\times2)+15=4^2\times 2-4+15$

Next, simplify any exponents.

$4^2\times 2-4+15=16 \times 2-4+15$

Next, simplify any multiplication and division.

$16 \times 2-4+15=32-4+15$

Finally, simplify any addition and subtraction.

2

What is the value of $3+(7\times 4)\times (2+1)-10$ ?

Explanation

Make sure you follow the order of operations (PEMDAS: parentheses, exponents, multiplication, division, addition, and subtraction—from the left to the right).

Start by simplifying what's found within the parentheses:

$3+(7\times 4)\times (2+1)-10=3+28 \times 3-10$

Next, simplify any multiplication and division.

$3+28 \times 3-10=3+84-10$

Finally, simplify any addition and subtraction.

3

Evaluate:

$15 \times 8 - 12 + 25$

Explanation

In the order of operations, in the absence of grouping symbols, multiplication takes precedence over addition and subtraction. Multiply 15 by 8 first:

$15 \times 8 - 12 + 25$

Addition and subtraction have equal precedence and are worked in left-to-right order. Subtract 120 and 12 next:

Now add:

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