Follow the order of operations and evaluate these expressions. 1) 7+3(9-4)^2÷5, 12/3-4+7^2, (7-3)×3^3÷9, 5(7-3)^2÷(6-4)^3-9, 3×(

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2 years ago

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7-5)^3÷(8÷4)^2-5, 9+(3×10)/5×2-12

1 answer:

vovikov84 [41] · Answer 1 · 2023-04-27T14:34:03+03:00

The solution to the first expression - 7+3(9-4)^2÷5 is given as 22.

To get the answer correctly, one must follow rudimentary rules of operations which are coined into the acronym BODMAS.

<h3>What is BODMAS?</h3>

This is the order in which mathematical operations must be executed.
B = Bracket

O = Orders (that is Powers, Indices or roots)

D= Division

M = Multiplication

A = Addition

S = Subtraction

Now lets see how we got 22 from the first set of operations:

<h3>Operation 1 (Example)</h3>

7+3(9-4)^2÷5 =

7+3 (5)^2÷5=

7+3 * 25÷5 =

7+3*5=

7+15=

22

Following the BODMAS rule and the example in Operation 1 above, we can state the remaining answers as follows:

<h3>

Operation 2</h3>

12/3-4+7^2 = 49

<h3 /><h3>Operation 3</h3>

(7-3)×3^3÷9 = 12

<h3>Operation 4</h3>

5(7-3)^2÷(6-4)^3-9 = 1

<h3>Operation 5</h3>

3×(7-5)^3÷(8÷4)^2-5 = 1

<h3>Operation 6</h3>

9+(3×10)/5×2-12 = 9

See the link below for more about Mathematical Operations: