Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

part b below are two expressions, the only difference being the presenc…

Question

part b
below are two expressions, the only difference being the presence or absence of parentheses.
\texpression 1: $5 + 1 \times (3 + 4) \times (5 - 2)$
\texpression 2: $5 + 1 \times 3 + 4 \times 5 - 2$
calculate the difference between the two expressions, that is, evaluate both expressions then subtract one value from the other value.
express your answer numerically.
view available hint(s)

Explanation:

Step1: Evaluate Expression 1 (parentheses first)

First calculate inside parentheses: $3+4=7$, $5-2=3$
Then multiply: $1 \times 7 \times 3 = 21$
Finally add: $5 + 21 = 26$

Step2: Evaluate Expression 2 (multiplication first)

Calculate multiplications: $1 \times 3 = 3$, $4 \times 5 = 20$
Then add/subtract left to right: $5 + 3 + 20 - 2 = 26$

Step3: Calculate the difference

Subtract the two results: $26 - 26 = 0$

Answer:

0