Francesca tried to evaluate an expression. Here is her work:3(5)2−18÷33(25)−18÷3{Step 1}75−18÷3{Step 2}57÷3{Step 3}19{Step 4}Is Francesca's work correct?(A) No, Francesca made a mistake going from the given expression to Step 1. Francesca should have multiplied 3 and 5 before evaluating the exponent. The order of operations says to perform operations inside parentheses before you evaluate the exponent.(B) No, Francesca made a mistake going from Step 2 to Step 3. Francesca should have divided 18 by 3 before subtracting. The order of operations says to divide before you subtract.(C) Yes, Francesca's work is correct.
Q. Francesca tried to evaluate an expression. Here is her work:3(5)2−18÷33(25)−18÷3{Step 1}75−18÷3{Step 2}57÷3{Step 3}19{Step 4}Is Francesca's work correct?(A) No, Francesca made a mistake going from the given expression to Step 1. Francesca should have multiplied 3 and 5 before evaluating the exponent. The order of operations says to perform operations inside parentheses before you evaluate the exponent.(B) No, Francesca made a mistake going from Step 2 to Step 3. Francesca should have divided 18 by 3 before subtracting. The order of operations says to divide before you subtract.(C) Yes, Francesca's work is correct.
Evaluate Exponent: Francesca starts by evaluating the exponent in the expression 3(5)2. She calculates 52=25. Then, she multiplies 3 by 25 to get 75. This is correct as per the order of operations (PEMDAS/BODMAS).
Multiply Result: Next, Francesca calculates 18÷3 in the expression 75−18÷3. She should have performed this division before subtracting from 75. However, she subtracts first, getting 57, and then divides 57 by 3 to get 19. This is incorrect because division should come before subtraction in the order of operations.
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