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Video: Converting Numbers from Scientific Notation to Standard Form

Rhodri Jones

What is 5 × 10⁵ in standard form?

01:41

Video Transcript

What is five multiplied by 10 to the power of five in standard form?

To convert a number from scientific notation into standard form requires us to understand what the exponent or power actually means? In this case, 10 to the power of five means 10 multiplied by 10 multiplied by 10 multiplied by 10 multiplied by 10.

It’s important to know that this is not the same as 10 multiplied by five. 10 multiplied by 10 is a 100. Multiplying that by 10 gives us a 1000. Multiplying by the fourth 10 gives us 10000. And finally multiplying by the last 10 gives us 100000.

Therefore, 10 to the power five is equal to 100000. We notice here that the number of zeros is equal to the exponent or power, in this case five. There are a five zeros in 100000. Going back to our original question, we’re asked what is five multiplied by 10 to the power of five.

This is the same as five multiplied by 100000. Five multiplied by 100000 equals 500000. Therefore, five multiplied by 10 to the power five in standard form is 500000. We can use this method to convert any number from scientific notation to standard form.