Let's solve each of the numerical expression problems step by step, based on the verbal descriptions given.
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1. "6 raised to the power 2 divided by sum of 1 and 2"
-
"6 raised to the power 2" → $6^2$
-
"sum of 1 and 2" → $1 + 2 = 3$
- Now divide: $ \frac{6^2}{1+2} $
✔ Expression:
$$
\frac{6^2}{1 + 2}
$$
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2. "Sum of 2 and 3 subtracted from 4 raised to the power 4"
-
"4 raised to the power 4" → $4^4$
-
"Sum of 2 and 3" → $2 + 3 = 5$
- "Subtracted from" means: $4^4 - (2 + 3)$
✔ Expression:
$$
4^4 - (2 + 3)
$$
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3. "2 raised to the power 2 added to product of 3 and 4"
-
"2 raised to the power 2" → $2^2$
-
"product of 3 and 4" → $3 \times 4 = 12$
- "Added to" → $2^2 + (3 \times 4)$
✔ Expression:
$$
2^2 + (3 \times 4)
$$
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4. "Quotient of 96 and 3 added to 7 raised to the power 2"
-
"Quotient of 96 and 3" → $96 \div 3 = 32$
-
"7 raised to the power 2" → $7^2$
- "Added to" → $(96 \div 3) + 7^2$
✔ Expression:
$$
(96 \div 3) + 7^2
$$
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5. "Sum of 5 and 6 subtracted from 4 raised to the power 3"
-
"4 raised to the power 3" → $4^3$
-
"Sum of 5 and 6" → $5 + 6 = 11$
- "Subtracted from" → $4^3 - (5 + 6)$
✔ Expression:
$$
4^3 - (5 + 6)
$$
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✔ Final Answers:
1. $ \frac{6^2}{1 + 2} $
2. $ 4^4 - (2 + 3) $
3. $ 2^2 + (3 \times 4) $
4. $ (96 \div 3) + 7^2 $
5. $ 4^3 - (5 + 6) $
These are the correct
numerical expressions for each statement. You can simplify them further if needed, but since the task asks for
expressions, this is sufficient.
Parent Tip: Review the logic above to help your child master the concept of writing numerical expressions worksheet 5th grade.
