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.
