Complete Question
Joey tried to evaluate an expression. Here is his work:
= 97– 3 + (5³÷25)× 2 × 3²
= 97–3 + (125÷25 )× 2 × 9
Step 1 = 97 – 3 + 5 × 2 ×9
Step 2 = 97 – 3+ 10×9
Step 3 = 97 – 3+ 90
Step 4 = 97–93
Step 5 = 4
Step 6 = Is Joey's work correct?
Answer:
Joey's work is incorrect
The correct answer is 184
Explanation:
Solving Joey's expression above using the BODMAS Rule
B - Bracket
O - Of
D - Division
M - Multiplication
A - Addition
S - Subtraction
= 97– 3 + (5³÷25)× 2 × 3²
= 97–3 + (125÷25 )× 2 × 9
Hence:
Step 1: Division
= 97 – 3 + 5 × 2 ×9
Step 2: Multiplication
= 97 – 3+ 10×9
Step 3: Addition
= 97 – 3+ 90
= 97+ 87
Step 4 :
= 97+ 87
Step 5 = 184
Therefore, Joey's work is INCORRECT because he made a mistake in Step 3 during the addition step. The correct answer is 184