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According to the order of operations, first we solve the multiplication and division exercises.
We will put them in parentheses to avoid confusion later in the solution:
We solve the exercises in parentheses:
We will rewrite the denominator of the fraction as a multiplication exercise:
We simplify and obtain:
Now we solve the exercise from left to right:
-48.5
\( 100+5-100+5 \)
The order of operations (PEMDAS) is a mathematical rule that ensures everyone gets the same answer. Multiplication and division have higher priority than addition and subtraction, just like in real-world calculations.
Look for the greatest common factor of 7 and 14. Since 7 goes into both numbers:
The colon (:) is another way to write division. So 20÷5 and 20:5 both mean the same thing - twenty divided by five equals 4.
Because we subtract 142 from 90, which gives us -52. Even after adding 4 and subtracting 0.5, we still have a negative result of -48.5.
Yes! You can write , then calculate: 90 - 142 - 0.5 + 4 = -48.5. Both methods give the same answer.
Substitute back into the original expression:
= 90 - 142 - 0.5 + 4 = -48.5 ✓
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