The expression in scientific notation is given as follows:
3.5 x 10³.
<h3>What is scientific notation?</h3>
A number in scientific notation is given by:
![a \times 10^b](https://tex.z-dn.net/?f=a%20%5Ctimes%2010%5Eb)
With the base being
.
For this problem, the expression is given by:
![\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%20%5Ctimes%2010%5E2%20%5Ctimes%204.2%20%5Ctimes%2010%5E4%7D%7B6%20%5Ctimes%2010%5E3%7D)
When two factors of a multiplication have the same base and different exponent, we <u>keep the base and add the exponents,</u> hence:
![10^2 \times 10^4 = 10^6](https://tex.z-dn.net/?f=10%5E2%20%5Ctimes%2010%5E4%20%3D%2010%5E6)
5 x 4.2 = 21, hence the expression is:
![\frac{5 \times 10^2 \times 4.2 \times 10^4}{6 \times 10^3} = \frac{21 \times 10^6}{6 \times 10^3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%20%5Ctimes%2010%5E2%20%5Ctimes%204.2%20%5Ctimes%2010%5E4%7D%7B6%20%5Ctimes%2010%5E3%7D%20%3D%20%5Cfrac%7B21%20%5Ctimes%2010%5E6%7D%7B6%20%5Ctimes%2010%5E3%7D)
When we divide two terms with the same base and different exponents, we keep the base and subtract the exponents, hence:
![\frac{21 \times 10^6}{6 \times 10^3} = 3.5 \times 10^3](https://tex.z-dn.net/?f=%5Cfrac%7B21%20%5Ctimes%2010%5E6%7D%7B6%20%5Ctimes%2010%5E3%7D%20%3D%203.5%20%5Ctimes%2010%5E3)
Which is the simplified expression.
More can be learned about scientific notation at brainly.com/question/16394306
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Answer:fgh
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
if you change 1/4 into a decimal, it turns into 0.25. So 0.35 is greater than 0.25