To solve the problems using the order of operations, we need to follow the PEMDAS rule:
-
Parentheses
-
Exponents
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Multiplication and
Division (from left to right)
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Addition and
Subtraction (from left to right)
Let's solve each problem step by step.
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Problem 1: \( 9 \times 2 - 7 \)
1. Perform multiplication first: \( 9 \times 2 = 18 \)
2. Then perform subtraction: \( 18 - 7 = 11 \)
Answer: \( 11 \)
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Problem 2: \( 2 \times 5 + 8 \)
1. Perform multiplication first: \( 2 \times 5 = 10 \)
2. Then perform addition: \( 10 + 8 = 18 \)
Answer: \( 18 \)
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Problem 3: \( 7 - 2 \times 3 \)
1. Perform multiplication first: \( 2 \times 3 = 6 \)
2. Then perform subtraction: \( 7 - 6 = 1 \)
Answer: \( 1 \)
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Problem 4: \( 3 + 4 \times 7 \)
1. Perform multiplication first: \( 4 \times 7 = 28 \)
2. Then perform addition: \( 3 + 28 = 31 \)
Answer: \( 31 \)
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Problem 5: \( 5 + 7 \times 2 \)
1. Perform multiplication first: \( 7 \times 2 = 14 \)
2. Then perform addition: \( 5 + 14 = 19 \)
Answer: \( 19 \)
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Problem 6: \( 9 - 3 \times 2 \)
1. Perform multiplication first: \( 3 \times 2 = 6 \)
2. Then perform subtraction: \( 9 - 6 = 3 \)
Answer: \( 3 \)
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Problem 7: \( 8 \times 4 - 9 \)
1. Perform multiplication first: \( 8 \times 4 = 32 \)
2. Then perform subtraction: \( 32 - 9 = 23 \)
Answer: \( 23 \)
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Problem 8: \( 8 - 3 \times 2 \)
1. Perform multiplication first: \( 3 \times 2 = 6 \)
2. Then perform subtraction: \( 8 - 6 = 2 \)
Answer: \( 2 \)
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Problem 9: \( 6 + 3 \times 8 \)
1. Perform multiplication first: \( 3 \times 8 = 24 \)
2. Then perform addition: \( 6 + 24 = 30 \)
Answer: \( 30 \)
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Problem 10: \( 4 \times 6 - 8 \)
1. Perform multiplication first: \( 4 \times 6 = 24 \)
2. Then perform subtraction: \( 24 - 8 = 16 \)
Answer: \( 16 \)
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Final Answers:
\[
\begin{array}{|c|c|}
\hline
9 \times 2 - 7 = 11 & 2 \times 5 + 8 = 18 \\
7 - 2 \times 3 = 1 & 3 + 4 \times 7 = 31 \\
5 + 7 \times 2 = 19 & 9 - 3 \times 2 = 3 \\
8 \times 4 - 9 = 23 & 8 - 3 \times 2 = 2 \\
6 + 3 \times 8 = 30 & 4 \times 6 - 8 = 16 \\
\hline
\end{array}
\]
\boxed{
\begin{array}{|c|c|}
\hline
11 & 18 \\
1 & 31 \\
19 & 3 \\
23 & 2 \\
30 & 16 \\
\hline
\end{array}
}
Parent Tip: Review the logic above to help your child master the concept of order of operations practice worksheet.