Question

Refer to Expression 1 and Expression 2.

Expression 1
6 x 7 - 3^2 x 9 + 4^3
Expression 2
5 + 4 x 2 + 6 - 2 x 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

• See below

Explanation:

a)

Expression 1

• 6 × 7 - 3² × 9 + 4² =
• 6 × 7 - 9 × 9 + 16 =
• 42 - 81 + 16 =
• -23

b)

Expression 2

5 + 4 × 2 + 6 - 2 × 2 - 1 as it is the result is:

• 5 + 8 + 6 - 4 - 1 =
• 14

We'll add the parentheses considering we need to increase the result by 5:

• (5 + 4) × 2 + 6 - 2 × 2 - 1 =
• 9 × 2 + 6 - 2 × 2 - 1 =
• 18 + 6 - 4 - 1 =
• 19