Let's solve each problem step by step by interpreting the
word statements and matching them with the correct
numerical expressions.
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1. "Eight added to the product of five and three"
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"Product of five and three" means: $ 5 \times 3 $
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"Eight added to" that product means: $ (5 \times 3) + 8 $
✔ Correct expression:
$ (5 \times 3) + 8 $
>
✘ $ (8 \times 3) + 5 $ → This is "five added to the product of eight and three", which is different.
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2. "Two subtracted from the sum of seven and five"
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"Sum of seven and five" = $ 7 + 5 $
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"Two subtracted from" that sum = $ (7 + 5) - 2 $
✔ Correct expression:
$ (7 + 5) - 2 $
> Note: The second option is written as $ (7 + 5) - 2 $, so both options look identical here — likely a typo in layout. But assuming it's meant to be distinct, this one is correct.
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3. "Eleven added to the quotient of fifteen and three"
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"Quotient of fifteen and three" = $ 15 \div 3 $
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"Eleven added to" that quotient = $ 11 + (15 \div 3) $
✔ Correct expression:
$ 11 + (15 \div 3) $
>
✘ $ 11 + (15 \times 3) $ → That would be "eleven added to the product", not quotient.
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4. "Add ten to seven times four"
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"Seven times four" = $ 7 \times 4 $
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"Add ten to" that = $ (7 \times 4) + 10 $
✔ Correct expression:
$ (7 \times 4) + 10 $
>
✘ $ (7 + 4) \times 10 $ → This is "ten times the sum of seven and four", which is incorrect.
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5. "One subtracted from the division of twelve by three"
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"Division of twelve by three" = $ 12 \div 3 $
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"One subtracted from" that = $ (12 \div 3) - 1 $
✔ Correct expression:
$ (12 \div 3) - 1 $
>
✘ $ (12 + 3) - 2 $ → This is unrelated; involves addition and subtraction of 3 and 2, not division.
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✔ Final Answers:
1.
(5 × 3) + 8
2.
(7 + 5) - 2
3.
11 + (15 ÷ 3)
4.
(7 × 4) + 10
5.
(12 ÷ 3) - 1
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🟩 Summary:
All correct choices are:
- First: $ (5 \times 3) + 8 $
- Second: $ (7 + 5) - 2 $
- Third: $ 11 + (15 \div 3) $
- Fourth: $ (7 \times 4) + 10 $
- Fifth: $ (12 \div 3) - 1 $
These match the
correct interpretation of each verbal expression using proper order of operations and mathematical meaning.
Let me know if you'd like a printable version or explanation for kids! 😊
Parent Tip: Review the logic above to help your child master the concept of easy numerical expression worksheet.
