Reviewed by Maila Caliao
What is 10 to the 5th power?
Answer: 10 to the 5th power is 100000
When we talk about a number raised to a power, we are referring to exponential notation. '10 to the 5th power' means multiplying the number 10 by itself a total of five times. This is a fundamental concept in mathematics and is commonly used in science, engineering, and technology, especially when expressing large numbers.
Methods
Math Tutor Explanation Using Multiplication Method
This method involves multiplying 10 by itself as many times as the power indicates.
Step 1: Recognize that 10 to the 5th power means 10 × 10 × 10 × 10 × 10
Step 2: Multiply these values together to get the result
Math Tutor Explanation Using Exponents and Place Values
Each increase in the exponent by one adds an extra zero to the number when the base is 10.
Step 1: Understand that 10^n results in the digit 1 followed by n zeros
Step 2: Since the exponent is 5, the answer is 1 followed by 5 zeros, which is 100000
Step 1:
Step 2:
Math Tutor suggests: Practice More Power and Exponent Questions
Continue exploring exponents and powers with these related exercises. Deepen your understanding of how to work with powers of numbers.
FAQ on Exponents and Powers of Ten
What does an exponent represent?
An exponent shows how many times the base is multiplied by itself.
What is 10^0?
10 to the 0 power is 1.
Why does 10 to the 5th power equal 100000?
Because 10 multiplied by itself five times (10 × 10 × 10 × 10 × 10) equals 100000.
How can I quickly find powers of ten without a calculator?
Write the number 1 followed by as many zeros as the exponent indicates.
Is 10 to the 5th power used in scientific notation?
Yes, it is commonly used to represent large numbers in scientific notation.
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