Scientific Notation

NC.8.EE.3
Use numbers expresses in scientific notation to estimate very large or very small quantities and to express how many times as much one is than the other.

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​SCIENTIFIC NOTATION

Multiple Choice

Which of the following is equivalent to $$\frac{6^7}{6^3}$$ ?

• $$6^4$$

• $$6^{-4}$$

• $$1^4$$

• $$6^{10}$$

Multiple Select

Which of the following is equivalent to $$8^3\cdot8^{-3}$$ ?

• $$8^0$$

• $$8^6$$

• $$64^0$$

• $$8^{-9}$$

Multiple Choice

Which expression is equivalent to $$\left(2^4\right)^3$$ ?

• $$12^2$$

• $$2^7$$

• $$2^{12}$$

• $$2^1$$

​SCIENTIFIC NOTATION

Multiple Choice

The first number of a scientific notation should be between 1 and 10.

Which of the following can be the first number of the scientific notation?

• 12.3

• 1.23

• 0.123

• 
  12

Multiple Choice

What is the purpose of using scientific notation?

• It is used to write numbers that are very small.

• It is used to write numbers that are very large.

• It is used to write numbers that are very large or very small.

• 
  It is used to write to make smaller numbers become larger.

Multiple Choice

Which of the following numbers is expressed in scientific notation?

• $$3.7\times100^2$$

• $$45\times10^3$$

• $$5.6\times10^{-1}$$

• 
  $$0.34\times10^2$$

Fill in the Blanks

How many times will the decimal point be moved for 16, 600, 000 for it to be written in scientific notation?

Multiple Choice

What is the best first number that we can use to write 16, 600, 000 in scientific notation?

• 1.66

• 16.6

• 0.166

• 166

​CONVERTING STANDARD TO SCIENTIFIC

Multiple Choice

What will be the power of the scientific notation if a number is greater than 1?

• negative

• zero

• positive

• fraction

Multiple Choice

What power is appropriate for the number 80, 000?

• negative

• zero

• positive

• fraction

Multiple Choice

What power is appropriate for the number 0.000000023?

• negative

• zero

• positive

• fraction

​Convert the number to scientific notation.

​Convert the number to scientific notation.

Multiple Choice

Convert the number to scientific notation.

• $$1.85\times10^6$$

• $$1.85\times10^5$$

• $$18.5^{ }\times10^5$$

• $$0.185\times10^7$$

Multiple Choice

Convert the number to scientific notation.

• $$4.2\times10^4$$

• $$4.2\times10^5$$

• $$42.0\times10^5$$

• $$4.2\times10^6$$

​Convert the number to scientific notation.

​Convert the number to scientific notation.

Multiple Choice

Convert the number to scientific notation.

• $$7.826\times10^{-3}$$

• $$78.26\times10^{-3}$$

• $$7.826\times10^3$$

• $$0.7826\times10^{-3}$$

Multiple Choice

Convert the number to scientific notation.

• $$1\times10^5$$

• $$10\times10^5$$

• $$1\times10^{-5}$$

• $$10\times10^{-5}$$

​CONVERTING SCIENTIFIC TO STANDARD

​Convert the number to standard notation.

​Convert the number to standard notation.

Multiple Choice

Convert the number to standard form.

• 78 300 000

• 7 830 000

• 783 000 000

• 783 000

Multiple Choice

Convert the number to standard form.

• 25 000

• 2 500

• 250 000

• 250

​Convert the number to standard notation.

​Convert the number to standard notation.

Multiple Choice

Convert the number to standard form.

• 0.000008345

• 0.00008345

• 0.008345

• 0.0008345

Multiple Choice

Convert the number to standard form.

• 0.003

• 0.0003

• 0.3000

• 0.03