The 17 is value of the expression .
Let's solve the expression step by step:
9+3^2 × 2 −1×4
(a) Calculate the expression without grouping symbols:
9+3^2 × 2 −1×4
=9+3×4-4
=9+12−4
=21−4
=17
So, the value of the expression without grouping symbols is 17.
(b) To make the expression equal to 45, we need to use grouping symbols.
Let's place them to achieve the desired result:
9+3^2 × 2 −1×4
Now, calculate the expression with the grouping symbols:
9+(3×4)−(1×4)
=9+12−4
=21−4
=17 .
It seems that the grouping symbols didn't result in the desired value of 45. Let's try another arrangement:
(9+3)×2^2−1×4
Now, calculate the expression with the new grouping symbols:
(9+3)×4−1×4
=12×4−4
=48−4
=44
It appears that the grouping symbols are not enough to obtain the value of 45.
Question
Consider the expression . 9+3x2^2-1x4
(a) What is the value of the expression? Show your work.
(b) Show where to place grouping symbols so that the value of the expression is 45. Show how the value of the expression changes to 45.