Multiply And Divide In Scientific Notation (Word Problems) Problems

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#1 of 8: Mild

Multiply and divide in scientific notation (word problems)

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>

#2 of 8: Medium

Multiply and divide in scientific notation (word problems)

The mass of an electron is about `9.05times 10^-28` grams. If there are `3.3times 10^22` electrons in `1` ml of water, what is the total weight of the electrons in `1` ml of water? <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 8: Medium

Multiply and divide in scientific notation (word problems)

During its first year of operation, a manufacturing company produced `8.4times 10^8` erasers. During the second year, the company produced `3.5` times the number of erasers that it produced during the first year. How many erasers did the company produce in its second year of operation? <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 8: Medium

Multiply and divide in scientific notation (word problems)

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 8: Medium

Multiply and divide in scientific notation (word problems)

A baby blue whale weighs `5.0times 10^3` pounds. An adult blue whale weighs `66` times as much. How many pounds does an adult blue whale weigh? <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 8: Spicy

Multiply and divide in scientific notation (word problems)

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 8: Spicy

Multiply and divide in scientific notation (word problems)

There are `5.9times 10^20` copper atoms in a penny. The bank has `25text{,}000` pennies in the vault. How many copper atoms are in all of the pennies at the bank? <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

#8 of 8: Spicy

Multiply and divide in scientific notation (word problems)

A honey bee has a weight of `2.5times 10^-4` pounds. There are `50text{,}000` honey bees in one hive. What is the total weight of the bees? <highlight data-color="#666" data-style="italic">Write your answer in scientific notation. Round the coefficient to the nearest thousandths, if necessary.</highlight>

Scientific notations are used when there is an involvement of very large numbers or very small numbers. Scientific notations are also known as the standard form. All the numbers that are represented in this form have the base of 10. Normally, scientific notations are used by scientists and physicists who perform calculations that involve very large or very small numbers. For example, the weight of the Sun is generally written in scientific notation.

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Grade 8

Scientific Notation

8.EE.A.4