Scientific Notation (Cougar Time)

Scientific Notation​

Multiple Choice

Which expression is NOT correctly written in scientific notation?

• $$5.62\times10^{-7}$$  

• $$9.8\times10^4$$  

• $$39.39\times10^3$$  

• $$7.77\times10^7$$  

Multiple Choice

Which expression is NOT correctly written in scientific notation?

• $$2.865\times10^5$$  

• $$1.234\times10^{-4}$$  

• $$9.292+10^2$$  

• $$4.27\times10^{-2}$$  

Multiple Choice

Which expression is NOT correctly written in scientific notation?

• $$5.75\times10^8$$  

• $$6.789\times10^4$$  

• $$6.1\times12^3$$  

• $$2.625\times10^{12}$$  

Scientific Notation with Positive and Negative Exponents

​Remember: If the exponent is positive, move the decimal to the right. If the exponent is negative, move the decimal to the left.

Multiple Choice

Express $$5.43\times10^4$$  in standard notation.

• 0.00054

• 540,000

• 54,300

• 0.000054

Multiple Choice

Express $$3.13\times10^1$$  in standard notation.

• 313

• 3,130

• 3.13

• 31.3

Multiple Choice

Express $$9.5\times10^{-2}$$  in standard notation.

• 950

• 9,500

• 0.0095

• 0.095

Multiple Choice

Express $$7.825\times10^{-6}$$  in standard notation.

• 7.000825

• 7,825,000

• 0.0000007825

• 0.000007825

Scientific Notation with Exponents

​Remember: If the exponent is positive, move the decimal to the right.

Multiple Choice

Write $$72,500$$  in scientific notation.

• $$7.25\times10^2$$  

• $$7.25\times10^4$$  

• $$7.25\times10^{-4}$$  

• $$7.25\times10^{-2}$$  

Multiple Choice

Write $$970,000$$  in scientific notation.

• $$9.7\times10^4$$  

• $$9.7\times10^{-5}$$  

• $$9.7\times10^5$$  

• $$0.97\times10^{-4}$$  

Multiple Choice

Write $$0.000002531$$  in scientific notation.

• $$2.531\times10^{-6}$$  

• $$2.531\times10^{-5}$$  

• $$2.531\times10^5$$  

• $$2.531\times10^6$$  

Multiple Choice

Write $$0.082$$  in scientific notation.

• $$8.2\times10^{-2}$$  

• $$8.2\times10^{-1}$$  

• $$8.2\times10^3$$  

• $$8.2\times10^2$$