Converting Numbers Into 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)

• $$3.2\times10^7$$  

• $$250\times10^2$$  

• $$10\times2^5$$  

• $$9.2\times10^{-5}$$  

• $$0.45\times10^3$$  

Fill in the Blank

What is the value of $$10^5$$  ?

Fill in the Blank

What is the value of $$10^8$$  ?

Fill in the Blank

What is the value of $$10^{-2}$$  ?

Fill in the Blank

What is the value of $$10^{-4}$$  ?

​​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.

​Converting a Number from Scientific Notation to Standard Form

Multiple Choice

What is the value of the number shown below?

$$8.0\times10^3$$  

• $$800$$  

• $$8,000$$  

• $$0.008$$  

• $$0.0008$$  

Multiple Choice

What is the value of the number shown below?

$$5.6\times10^6$$  

• $$5,600,000$$  

• $$56,000,000$$  

• $$0.0000056$$  

• $$0.00000056$$  

​Converting a Number from Scientific Notation to Standard Form

Multiple Choice

What is the value of the number shown below?

$$7.0\times10^{-2}$$  

• $$70$$  

• $$700$$  

• $$0.07$$  

• $$0.007$$  

Multiple Choice

What is the value of the number shown below?

$$6.1\times10^{-4}$$  

• $$61,000$$  

• $$610,000$$  

• $$0.0061$$  

• $$0.00061$$  

​​Converting a Number from Standard Form to Scientific Notation

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• ​Shift the decimal point until the value of the number is between 1 and 10

​

• ​If the original number is large the exponent will be positive

​

• ​​If the original number is small (decimal) the exponent will be negative

​Converting a Number from Scientific Notation to Standard Form

Multiple Choice

Which choice represents the number below written in scientific notation?

$$30,000$$  

• $$3.0\times10^4$$  

• $$3.0\times10^5$$  

• $$3.0\times10^{-4}$$  

• $$3.0\times10^{-5}$$  

Multiple Choice

Which choice represents the number below written in scientific notation?

$$52,500,000$$  

• $$5.25\times10^5$$  

• $$5.25\times10^7$$  

• $$5.25\times10^{-5}$$  

• $$5.25\times10^{-7}$$  

​Converting a Number from Scientific Notation to Standard Form

Multiple Choice

Which choice represents the number below written in scientific notation?

$$0.007$$  

• $$7.0\times10^3$$  

• $$7.0\times10^2$$  

• $$7.0\times10^{-3}$$  

• $$7.0\times10^{-2}$$  

Multiple Choice

Which choice represents the number below written in scientific notation?

$$0.000092$$  

• $$9.2\times10^5$$  

• $$9.2\times10^4$$  

• $$9.2\times10^{-5}$$  

• $$9.2\times10^{-4}$$  

​Converting a Number from Scientific Notation to Standard Form On The Calculator