Explain the difference in meaning between 10x4+5 and 10x(4+5) . Use words and or diagrams to help your explanation.
Mathematics · Middle School · Tue Nov 03 2020
Answered on
Using order of operations or PEMDAS, the answer of 10x4+5 is 45 while 10x(4+5) is 90. The difference between 10x4+5 and 10x(4+5) is that in 10x4+5 you need to multiply 10 and 4 then add 5 while in 10x(4+5) you need to add 4 and 5 first then multiply the sum by 10 because parenthesis precedes multiplication. It means that terms inside the parenthesis must be simplified first before anything else. To show how they differ here is the solution when using PEMDAS.
> 10x4+5; .since there is no parenthesis or exponent and multiplication precedes addition, multiply first then add the numbers.
> 40 +5
> 45.
> 10x(4+5); since parenthesis is present, add the numbers inside the parenthesis first then multiply the sum by 10.
> 10x(9)
> 90.