Scientific Notation and Standard Form

Converting Numbers Into Scientific Notation and Standard Form

​Scientific Notation

Multiple Select

Which numbers below are written in scientific notation?

(Check all that apply)

• $$3.2\times10^7$$  

• $$250\times10^2$$  

• $$10\times2^5$$  

• $$9.2\times10^{-5}$$  

• $$0.45\times10^3$$  

​​Converting a Number from Scientific Notation to Standard Form

• Converting a number from scientific notation into standard form is as easy as shifting the decimal place.

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• ​The number of places that the decimal point is shifted is equal to the value of the exponent.

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• ​If the exponent is positive, the decimal point is shifted to the right.

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• ​If the exponent is negative, the decimal point is shifted to the left.

Multiple Choice

What is the value of the number shown below?

$$8.0\times10^3$$  

• $$800$$  

• $$8,000$$  

• $$0.008$$  

• $$0.0008$$  

Multiple Choice

If the exponent on the power of 10 is a positive number...

• you will get a large number that is greater than 1

• you will get a smaller number that is less than 1

Multiple Choice

Which of the following numbers is written in correct scientific notation?

• $$64.2\cdot10^2$$  

• $$6.42\cdot10^3$$  

• $$0.642\cdot10^4$$  

• $$6240$$  

Dropdown

To compare two numbers that are in scientific notation, first compare the​

Select answer

. If they are the same, then compare the​

Select answer

.​

Multiple Choice

How is the following number written in scientific notation?

450,000

• 4.5  x  10⁵

• 45  x  10⁵

• 4.5  x  10⁴

• 4.5  x  10⁶

Multiple Choice

How is the number below written in scientific notation?

0.000398

• 39.8  x  10^-5

• 3.98  x  10^-5

• 3.98  x  10^-4

• 39.8  x  10^-6