Video: Expressing a Multiplication Expression in Standard Form

Express 3 × 300 in scientific notation.


Video Transcript

Express three multiplied by 300 in scientific notation.

There are several ways we could approach this question. We will look at two different methods. Our first method involves multiplying three by 300 first. This gives us 900. We know that a number is written in scientific notation if it is in the form 𝑎 multiplied by 10 to the power of 𝑏, where the absolute value of 𝑎 is less than 10 and greater than or equal to one. As there is only one nonzero digit in this question, this will be the value of 𝑎.

900 written in scientific notation will be equal to nine multiplied by 10 raised to some power. 10 squared is equal to 100. And nine multiplied by 100 is equal to 900. Three multiplied by 300 expressed in scientific notation is nine multiplied by 10 squared.

An alternative method would be to rewrite three multiplied by 300 as three multiplied by three multiplied by 100. Three multiplied by three is equal to nine. 100 is equal to 10 to the power of two, or 10 squared. Once again, we get the answer nine multiplied by 10 squared.

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