Solve 14:2·5:7+12+25: Order of Operations Challenge

14:2⋅5:7+12+25=? 14:2\cdot5:7+12+25=\text{?}

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Step-by-step video solution

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00:00 Solve the following expression
00:03 Always solve multiplication and division before addition and subtraction
00:12 Always solve from left to right
00:20 Write the division operation as a fraction
00:24 Reduce wherever possible
00:30 Always solve the leftmost operation first
00:34 This is the solution

Step-by-step written solution

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1

Understand the problem

14:2⋅5:7+12+25=? 14:2\cdot5:7+12+25=\text{?}

2

Step-by-step solution

According to the rules for the order of operations, we will isolate the multiplication and division exercises in parentheses:

(14:2⋅5:7)+12+25= (14:2\cdot5:7)+12+25=

We solve the exercise in parentheses from left to right:

14:2=7 14:2=7

7×5=35 7\times5=35

35:7=5 35:7=5

Now we obtain the exercise:

5+12+25= 5+12+25=

We solve the exercise from left to right:

5+12=17 5+12=17

17+25=42 17+25=42

3

Final Answer

42

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\( 8 + 3 \times 2 = \)

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