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Find the number from each of the followi...

Find the number from each of the following expanded forms:
`3xx10^(4)+7xx10^(2)+5xx10^0`

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To solve the problem of finding the number from the expanded form \(3 \times 10^{4} + 7 \times 10^{2} + 5 \times 10^{0}\), we will follow these steps: ### Step 1: Calculate \(3 \times 10^{4}\) First, we need to evaluate \(10^{4}\): \[ 10^{4} = 10 \times 10 \times 10 \times 10 = 10000 \] Now, multiply this by 3: \[ 3 \times 10^{4} = 3 \times 10000 = 30000 \] ### Step 2: Calculate \(7 \times 10^{2}\) Next, we evaluate \(10^{2}\): \[ 10^{2} = 10 \times 10 = 100 \] Now, multiply this by 7: \[ 7 \times 10^{2} = 7 \times 100 = 700 \] ### Step 3: Calculate \(5 \times 10^{0}\) Now, we evaluate \(10^{0}\): \[ 10^{0} = 1 \quad \text{(Any non-zero number raised to the power of 0 is 1)} \] Now, multiply this by 5: \[ 5 \times 10^{0} = 5 \times 1 = 5 \] ### Step 4: Add all the results together Now, we will add all the results from the previous steps: \[ 30000 + 700 + 5 = 30705 \] ### Final Answer Thus, the number from the expanded form \(3 \times 10^{4} + 7 \times 10^{2} + 5 \times 10^{0}\) is: \[ \boxed{30705} \]
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MTG IIT JEE FOUNDATION-EXPONENTS AND POWERS-NCERT SECTION (EXERCISE 12.3)
  1. Find the number from each of the following expanded forms: 8xx10^(4...

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  2. Find the number from each of the following expanded forms: (a) <img cl...

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  3. Find the number from each of the following expanded forms: 3xx10^(4)...

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  4. Find the number from each of the following expanded forms: 9xx10^(5...

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  5. Express the following numbers in standard form: (i) 5,00,00,000 (ii) ...

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  6. Express the following numbers in standard form: (i) 5,00,00,000 (ii) 7...

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  7. Express the following numbers in the standard form: 3,18,65,00,000 (ii...

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  8. Express the following number in standard form: 3,90,878

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  9. Express the following number in standard form: 39087.8

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  10. Express the following number in standard form: 3908.78

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  11. Express the number apperaring in the following statements in standard ...

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  12. Express the number apperaring in the following statements in standard ...

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  13. Express the number apperaring in the following statements in standard ...

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  14. Express the number apperaring in the following statements in standard ...

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  15. Express the number apperaring in the following statements in standard ...

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  16. Express the number apperaring in the following statements in standard ...

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  17. Express the number apperaring in the following statements in standard ...

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  18. Express the number apperaring in the following statements in standard ...

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  19. Express the number apperaring in the following statements in standard ...

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  20. Express the number apperaring in the following statements in standard ...

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