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Valeria tried to evaluate an expression. Here is her work:\newline\newline 8+12÷4×428 + 12 \div 4 \times 4^2\newline 8+12÷4×168 + 12 \div 4 \times 16 {Step 11}\newline 20÷4×1620 \div 4 \times 16 {Step 22}\newline 5×165 \times 16 {Step 33}\newline 8080 {Step 44}\newline\newlineIs Valeria's work correct?\newline\newlineChoices:\newline(A)No, Valeria made a mistake going from the given expression to Step 11. Valeria should have multiplied 44 by 44 instead of evaluating the exponent. The order of operations says to multiply before you evaluate exponents.\newline(B)No, Valeria made a mistake going from Step 11 to Step 22. Valeria should have divided 1212 by 44 before adding. The order of operations says to divide before you add.\newline(C)Yes, Valeria's work is correct.\newline

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Q. Valeria tried to evaluate an expression. Here is her work:\newline\newline 8+12÷4×428 + 12 \div 4 \times 4^2\newline 8+12÷4×168 + 12 \div 4 \times 16 {Step 11}\newline 20÷4×1620 \div 4 \times 16 {Step 22}\newline 5×165 \times 16 {Step 33}\newline 8080 {Step 44}\newline\newlineIs Valeria's work correct?\newline\newlineChoices:\newline(A)No, Valeria made a mistake going from the given expression to Step 11. Valeria should have multiplied 44 by 44 instead of evaluating the exponent. The order of operations says to multiply before you evaluate exponents.\newline(B)No, Valeria made a mistake going from Step 11 to Step 22. Valeria should have divided 1212 by 44 before adding. The order of operations says to divide before you add.\newline(C)Yes, Valeria's work is correct.\newline
  1. Evaluate Exponent: Step 11: Evaluate the exponent in the expression.\newlineCalculation: 42=164^2 = 16\newlineMath error check:
  2. Perform Division: Step 22: Perform the division next according to the order of operations.\newlineCalculation: 12÷4=312 \div 4 = 3\newlineMath error check:
  3. Multiply Results: Step 33: Multiply the result from Step 22 by the result from Step 11.\newlineCalculation: 3×16=483 \times 16 = 48\newlineMath error check:
  4. Add to 88: Step 44: Add the result from Step 33 to 88. \newlineCalculation: 8+48=568 + 48 = 56 \newlineMath error check:

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