Question

1. Refer to Expression 1 and Expression 2.

Expression 1 6 ⋅ 7- 3/2⋅9+4/3

Expression 2 5+4⋅2+6-2⋅2-1

(a) What is the value of Expression 1?
(b) Insert parentheses in Expression 2 so that it has a value of 19. Then show why your expression has a value of 19.

Answer 1

the vaule of expression 1 is

25


with expression 2 5+4*2+6-2*2-1

just put parethhesis around the 5 and 4 so it looks like this (5+4)*2+6-2*2-1

it has this vaule now because you add 5+4 first now which changes the pemdas ordor around because before additon was the last thing but with parethisis it is the first


im using the * for multiplication

Answer 2

a) Expression 1 = 29.833

b) (5+4) * 2 + 6 -2 * 2 - 1

Explanation:

In expression 1 we have to know that the order to solve operations is:

First parenthesis, then multiplication and division and then addition and subtraction.

So we have the expression:

6*7-3/2*9+4/3

We first solve multiplications and divisions:

42-1.5*9+1.34

42-13.5+1.34 = 29.84

b) The parenthesis is the operation that goes first so if we insert the parenthesis in 5+4 we will get the next result:

(5+4) * 2 + 6 - 2 * 2 - 1

We have to solve parenthesis first, then multiplication and division and then addition and subtraction:

(9) * 2 + 6 - 4 - 1

18+6-4-1 = 19

We get the number 19.