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Evaluate this expression: (7 ⋅ 2) + 4^2 - 12 ÷ 4

I don't know how to figure this out

User Moebius
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1 Answer

3 votes
(7 • 2) + 4^2 - 12 ÷ 4 = 27

Step-by-step explanation:

• = multiplication
^ = exponent
- = subtraction
÷ = division

You can use a strategy called GEMS to solve these expressions too.

G grouping symbols | () {} []
E exponents | n^2
M multiply/divide | ÷ x •
S subtract/add | + -

Always start with your grouping symbols. The grouping symbols are (7 • 2), which equals 14.
Now, our expression is 14 + 4^2 - 12 ÷ 4.
Next, you want to do your exponents.
4^2 = 16.
Now, our expression is 14 + 16 - 12 ÷ 4.
Next, you do division.
12 ÷ 4 = 3.
The expression is now 14 + 16 - 3.
You do the addition first.
14 + 16 = 30.
The expression is now 30 - 3.
Lastly, we do subtraction.
30 - 3 = 27.

I hope this helps!
User Golkarm
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5.8k points