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