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Exponents Grade 11 Exam Question

Kevinmathscience・2 minutes read

When multiplying 10^2015 by 5^4, the sum of the digits will be 13, regardless of the number of zeros in the result.

Insights

  • Multiplying numbers like 10 to the power of 2015 and 5 to the power of 4 results in a sum of digits equal to 13, showcasing a consistent pattern irrespective of the number of zeros in the final outcome.
  • Aligning the numbers to have the same base, such as 10 and 5, simplifies the calculation process and reveals a clear relationship between the sum of digits and the powers involved, facilitating efficient computation strategies.

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Recent questions

  • How can I calculate the sum of digits in a number?

    By making the numbers involved the same and multiplying them.

  • What is the result of 10 to the power of 2015?

    A one followed by 2015 zeros.

  • What is the sum of the digits in 5 to the power of 4?

    The sum of the digits is 13.

  • How do I ensure the sum of digits remains constant?

    By multiplying numbers with different powers.

  • Can the sum of digits be determined regardless of zeros?

    Yes, the sum remains constant despite the number of zeros.

Related videos

Summary

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"Sum of Digits: Power of 2015"

  • To calculate the sum of the digits of a number, it is helpful to make the two numbers involved the same, such as 10 to the power of 2015 and 5 to the power of 4. When multiplying these numbers, the result will have a one followed by 2015 zeros, and the sum of the digits will be 13.
  • The number 10 to the power of 2015 equals a one followed by 2015 zeros, while 5 to the power of 4 equals 625. When multiplying these numbers, the sum of the digits will be 13, regardless of the number of zeros present in the result.
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