Joey tried to evaluate an expression. Here is his work: 97–3+53÷25232 = 97–3+125÷2529 Step 1 = 97–3+529 Step 2 = 97–3+109 Step 3 = 97–3+90 Step 4 = 97–93 Step 5 = 4 Step 6 Is Joey's work correct?

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?

Joey's work is incorrect

The correct answer is 184

Step-by-step 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

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).