Multiply And Divide In Scientific Notation Quiz

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#1 of 7: Mild

Multiply and divide in scientific notation

At its farthest point, Mercury is `4.3times 10^7` miles away from the Sun. If Pluto's farthest point from the Sun is approximately `1.07times 10^2` times farther than Mercury's, what is Pluto's farthest distance from the Sun? <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

#2 of 7: Mild

Multiply and divide in scientific notation

Puerto Rico has an area of ` 3.425times 10^3` `text{mi}^2`. If the area of the entire United States is approximately `1.06times 10^3` times larger than Puerto Rico, what is the area of the United States`?` <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

#3 of 7: Mild

Multiply and divide in scientific notation

Sherill, New York has the smallest population in the state with `3.07times 10^3` residents. The population of New York City is `2.81times 10^3` times larger than Sherill.What is the population of New York City? <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

#4 of 7: Medium

Multiply and divide in scientific notation

Erica's hometown has a population of `4.56times 10^4`. She recently got a job offer in a large city with a population `15` times larger than her hometown. What is the approximate population of the large city? <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

#5 of 7: Medium

Multiply and divide in scientific notation

There are `8.64times 10^4` seconds in `1` day. How many seconds are there in `30` days? <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

#6 of 7: Spicy

Multiply and divide in scientific notation

The smallest cell in the world has a diameter of `2times 10^-6` meters. If the largest cell in the world is `75text{,}000` times the diameter of smallest, what is the diameter of the largest cell? <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

#7 of 7: Spicy

Multiply and divide in scientific notation

The weight of a grain of sand is `1.45times 10^-4`kg. If there are `2text{,}000text{,}000` grains of sand in `1` cup, how much will a cup of sand weigh? <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

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Any quantity with the same base and power can be easily multiplied and divided. All the numbers in a scientific notation form have the base of 10. Hence, we can easily multiply and divide them. In order to multiply two numbers in a scientific notation form, multiply the coefficients and add their exponents. For division, subtract the exponents and multiply the coefficients.

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