The image you provided is a worksheet that involves solving mathematical expressions using the order of operations (PEMDAS/BODMAS rules). The acronym
PEMDAS stands for:
1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)
Let's solve each problem step by step, following the PEMDAS rules.
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Problem 1: \( 4 \times 1 + 9 \)
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Step 1: Perform multiplication first: \( 4 \times 1 = 4 \).
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Step 2: Add: \( 4 + 9 = 13 \).
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Answer: \( 13 \).
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Problem 2: \( 4 \times 5 + 1 \)
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Step 1: Perform multiplication first: \( 4 \times 5 = 20 \).
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Step 2: Add: \( 20 + 1 = 21 \).
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Answer: \( 21 \).
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Problem 3: \( 15 - (2 \times 5) \)
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Step 1: Solve inside parentheses: \( 2 \times 5 = 10 \).
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Step 2: Subtract: \( 15 - 10 = 5 \).
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Answer: \( 5 \).
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Problem 4: \( 68 - (2 \times 6) \)
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Step 1: Solve inside parentheses: \( 2 \times 6 = 12 \).
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Step 2: Subtract: \( 68 - 12 = 56 \).
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Answer: \( 56 \).
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Problem 5: \( 12 - (2 \times 9) \)
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Step 1: Solve inside parentheses: \( 2 \times 9 = 18 \).
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Step 2: Subtract: \( 12 - 18 = -6 \).
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Answer: \( -6 \).
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Problem 6: \( (9 \times 5) - 9 \)
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Step 1: Solve inside parentheses: \( 9 \times 5 = 45 \).
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Step 2: Subtract: \( 45 - 9 = 36 \).
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Answer: \( 36 \).
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Problem 7: \( 1 + (2 \times 9) \)
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Step 1: Solve inside parentheses: \( 2 \times 9 = 18 \).
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Step 2: Add: \( 1 + 18 = 19 \).
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Answer: \( 19 \).
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Problem 8: \( (6 \times 2) - 7 \)
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Step 1: Solve inside parentheses: \( 6 \times 2 = 12 \).
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Step 2: Subtract: \( 12 - 7 = 5 \).
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Answer: \( 5 \).
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Problem 9: \( 6 + (8 \times 7) \)
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Step 1: Solve inside parentheses: \( 8 \times 7 = 56 \).
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Step 2: Add: \( 6 + 56 = 62 \).
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Answer: \( 62 \).
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Problem 10: \( 7 + (6 \times 7) \)
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Step 1: Solve inside parentheses: \( 6 \times 7 = 42 \).
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Step 2: Add: \( 7 + 42 = 49 \).
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Answer: \( 49 \).
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Problem 11: \( 9 + (4 \times 6) \)
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Step 1: Solve inside parentheses: \( 4 \times 6 = 24 \).
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Step 2: Add: \( 9 + 24 = 33 \).
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Answer: \( 33 \).
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Problem 12: \( (2 \times 4) + 3 \)
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Step 1: Solve inside parentheses: \( 2 \times 4 = 8 \).
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Step 2: Add: \( 8 + 3 = 11 \).
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Answer: \( 11 \).
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Problem 13: \( 93 - (2 \times 6) \)
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Step 1: Solve inside parentheses: \( 2 \times 6 = 12 \).
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Step 2: Subtract: \( 93 - 12 = 81 \).
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Answer: \( 81 \).
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Problem 14: \( (7 \times 2) + 2 \)
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Step 1: Solve inside parentheses: \( 7 \times 2 = 14 \).
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Step 2: Add: \( 14 + 2 = 16 \).
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Answer: \( 16 \).
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Problem 15: \( (1 \times 5) - 5 \)
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Step 1: Solve inside parentheses: \( 1 \times 5 = 5 \).
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Step 2: Subtract: \( 5 - 5 = 0 \).
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Answer: \( 0 \).
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Problem 16: \( 29 - (2 \times 5) \)
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Step 1: Solve inside parentheses: \( 2 \times 5 = 10 \).
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Step 2: Subtract: \( 29 - 10 = 19 \).
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Answer: \( 19 \).
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Final Answer Key:
\[
\boxed{
\begin{array}{ll}
(4 \times 1) + 9 = 13 & (4 \times 5) + 1 = 21 \\
15 - (2 \times 5) = 5 & 68 - (2 \times 6) = 56 \\
12 - (2 \times 9) = -6 & (9 \times 5) - 9 = 36 \\
1 + (2 \times 9) = 19 & (6 \times 2) - 7 = 5 \\
6 + (8 \times 7) = 62 & 7 + (6 \times 7) = 49 \\
9 + (4 \times 6) = 33 & (2 \times 4) + 3 = 11 \\
93 - (2 \times 6) = 81 & (7 \times 2) + 2 = 16 \\
(1 \times 5) - 5 = 0 & 29 - (2 \times 5) = 19 \\
\end{array}
}
\]
Parent Tip: Review the logic above to help your child master the concept of pemdas rule worksheet.
