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?

• $$3.7\times100^2$$

• $$45\times10^3$$

• $$5.6\times10^{-1}$$

• 
  $$0.34\times10^2$$

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