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

Fill in the correct sign:

$14+16:4\times2$

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$14+16:(4\times2)$

First, we solve the exercise$14+16:4\times2$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:

$16:4=4$

$4\times2=8$

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

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

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.

$4\times2=8$

$16:8=2$

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

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