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Justine tried to evaluate an expression. Here is her work:\newline104+2(4)210 - 4 + 2(4)^2\newline104+8210 - 4 + 8^2 {Step 11}\newline104+6410 - 4 + 64 {Step 22}\newline6+646 + 64 {Step 33}\newline7070 {Step 44}\newlineIs Justine's work correct?\newlineChoices:\newline(A)No, Justine made a mistake going from the given expression to Step 11. Justine should have squared 44 before multiplying. The order of operations says to evaluate exponents before you multiply.\newline(B)No, Justine made a mistake going from Step 22 to Step 33. Justine should have added before she subtracted. The order of operations says to add before you subtract.\newline(C)Yes, Justine's work is correct.

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Q. Justine tried to evaluate an expression. Here is her work:\newline104+2(4)210 - 4 + 2(4)^2\newline104+8210 - 4 + 8^2 {Step 11}\newline104+6410 - 4 + 64 {Step 22}\newline6+646 + 64 {Step 33}\newline7070 {Step 44}\newlineIs Justine's work correct?\newlineChoices:\newline(A)No, Justine made a mistake going from the given expression to Step 11. Justine should have squared 44 before multiplying. The order of operations says to evaluate exponents before you multiply.\newline(B)No, Justine made a mistake going from Step 22 to Step 33. Justine should have added before she subtracted. The order of operations says to add before you subtract.\newline(C)Yes, Justine's work is correct.
  1. Handle Exponent First: Justine starts with the expression 104+2(4)210 - 4 + 2(4)^2. According to the order of operations, we should handle the exponent first. Justine should calculate (4)2(4)^2 before multiplying by 22.
  2. Correct Next Step: Justine then writes 104+8210 - 4 + 8^2. This is incorrect because she should have written 104+2×1610 - 4 + 2\times16, as (4)2(4)^2 equals 1616, not 88. The correct next step should be 104+3210 - 4 + 32.

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