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Multiply scientific notation expanded form

Multiply two numbers in scientific notation expanded form

This math skill teaches how to multiply two numbers in scientific notation by rearranging and simplifying the expanded forms, then simplifying further by adjusting the exponent.

Learn multiply scientific notation expanded form

Teaching Transcript

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Let's multiply these numbers that are almost in scientific notation.

Since all we are doing is multiplying, both within and between the brackets, we can easily rearrange the numbers. Let's swap the 4 and the 100, so we have 6 times 4, and 100 times 1000.

We can simplify the first bracket, 6 times 4, to 24, and the second bracket, 100 time 1000, to 100,000. So, we have 24 times 100,000.

But 24 is 2.4 times 10, so let's simplify a little bit more. Again, we can rearrange, so we will bring the 10 out so we can multiply it by the 100,000

If we move the 10 to the right and multiply, we get an answer of 2.4 times 1 million. This would be ready to express in scientific notation as 2.4 times 10 to the 6

Skill Practice

Multiply two numbers in scientific notation expanded form

Test your understanding of multiply scientific notation expanded form by practicing it! Work through the below exercises to use it in practice.