Using Order of Operations (PEMDAS), solve the following two expressions. Show all steps. a. 7 + 3 · 5 – 4 ÷ 2 + 3

b. [(7 + 3) · 5 – 4] ÷ 2 + 3

A:

Multiple: 3 * 5 = 15

Add: 7 + the result of step No. 1 = 7 + 15 = 22

Divide: 4 / 2 = 2

Subtract: the result of step No. 2 - the result of step No. 3 = 22 - 2 = 20

Add: the result of step No. 4 + 3 = 20 + 3 = 23

B:

Add: 7 + 3 = 10

Multiple: the result of step No. 1 * 5 = 10 * 5 = 50

Divide: 4 / 2 = 2

Subtract: the result of step No. 2 - the result of step No. 3 = 50 - 2 = 48

Add: the result of step No. 4 + 3 = 48 + 3 = 51

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  a) 23

  b) 26

Step-by-step explanation:

a) Perform the multiplication and division first, then the addition.

  7 + 3·5 -4÷2 +3

  = 7 +15 -2 +3

  = 23

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b) Evaluate parentheses first, then the rest of it. The multiplication and division are done before the addition at the same level.

  ((7 +3)·5 -4)÷2 +3

  = (10·5 -4)÷2 +3

  = (50 -4)÷2 +3

  = 46÷2 +3

  = 23 +3

  = 26

Additional comment

An appropriate calculator can evaluate these for you. The Go.ogle calculator reliably follows the order of operations. You can use an asterisk (*) for multiplication with that calculator.

isaiah walks 3 miles due north, turns and then 5 miles due east. how far is he from his starting point?

a^2 + b^2 = c^2

let c = distance from starting point.

(3)^2 + (5)^2 = c^2

9 + 25 = c^2

34 = c^2

sqrt{34} = sqrt{c^2}

sqrt{34} = c