Compare Expressions: 14+16:4×2 vs 14+16:(4×2) - Order of Operations

Question

Fill in the correct sign:

14+16:4×2 14+16:4\times2

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14+16:(4×2) 14+16:(4\times2)

Video Solution

Solution Steps

00:00 Determine what is the correct sign?
00:03 Let's calculate each side and then we'll know
00:06 Always solve multiplication and division before addition and subtraction
00:09 Let's solve according to this rule from left to right
00:13 Let's calculate the product and continue solving
00:18 This is the calculation for the left side, now let's move to the right side
00:22 Always solve parentheses first
00:26 Always solve multiplication and division before addition and subtraction
00:31 This is the calculation for the right side
00:34 And this is the solution to the question

Step-by-Step Solution

First, we solve the exercise14+16:4×2 14+16:4\times2 According to the order of operations, multiplication and division come before addition and subtraction, therefore we first divide 16 by 4 and then multiply the result by 2:

16:4=4 16:4=4

4×2=8 4\times2=8

Then, we solve the exercise:
14+8=22 14+8=22

Now, we solve the exercise:14+16:(4×2)= 14+16:(4\times2)=

According to the order of operations, the exercise within parentheses is first, so we first multiply 4 by 2 and then proceed to the division operation.

4×2=8 4\times2=8

16:8=2 16:8=2

In the last step we add:14+2=16 14+2=16

Since 22 is greater than 16, the corresponding result is >

Answer

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