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Class 7 Powers of 10 — practice questions with answers

Number System · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. Write 10⁴ as a number.
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Answer: D) 10000
10⁴ = 10 x 10 x 10 x 10 = 10000.
2. In the expanded form of 6 x 10⁴ + 0 x 10³ + 2 x 10² + 7 x 10¹ + 1 x 10⁰, what is the number?
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Answer: C) 60271
60000 + 0 + 200 + 70 + 1 = 60271.
3. Write 2 x 10⁴ + 5 x 10² as an ordinary number.
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Answer: B) 20500
2 x 10000 + 5 x 100 = 20000 + 500 = 20500.
4. What is the value of 3 x 10⁴?
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Answer: C) 30000
3 x 10⁴ = 3 x 10000 = 30000.
5. A government scheme distributes Rs 10⁹ (one hundred crore) equally among 10⁵ villages.
How much money does each village receive?
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Answer: B) Rs 10⁴
Each village gets 10⁹ / 10⁵ = 10^(9-5) = 10⁴ = Rs 10000.
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