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Worksheet: Converting between Scientific and Standard Notation

Q1:

What is 5 × 1 0 5 in standard form?

Q2:

Express 1 . 0 9 3 3 8 × 1 0 5 in standard form.

  • A 1 0 9 3 3 . 8
  • B 1 0 9 3 3 8 0
  • C 1 0 9 3 . 3 8
  • D 1 0 9 3 3 8
  • E 1 0 9 3 3 8 0 0

Q3:

The Gross Domestic Product (GDP) for the United States in the first quarter of 2014 was $ 1 . 7 1 4 9 6 × 1 0 1 3 . Rewrite the GDP in standard notation.

  • A $ 1 7 1 4 9 6 0 0 0 0 0 0 0 0 0
  • B $ 1 7 1 4 9 6 0 0 0 0 0 0 0 0 0 0 0 0 0
  • C $ 1 7 1 4 9 6 0 0 0 0 0 0
  • D $ 1 7 1 4 9 6 0 0 0 0 0 0 0 0
  • E $ 1 7 1 4 9 6 0 0 0 0 0 0 0

Q4:

One picometer is approximately 3 . 9 3 7 × 1 0 1 1 in. Rewrite this length in standard notation.

  • A 0.0000000003937 in
  • B 0.000000000003937 in
  • C 0.0000000000003937 in
  • D 0.00000000003937 in
  • E 0.000000003937 in

Q5:

Which of the following is equal to ?

  • A 0.00000499
  • B 0.00499
  • C 0.000499
  • D 0.0000499

Q6:

Express 3 . 0 6 7 0 7 × 1 0 1 0 in standard form.

  • A 3 0 6 7 0 7 0 0 0
  • B 3 0 6 7 0 7 0 0 0 0 0 0 0
  • C 3 0 6 7 0 7 0 0 0 0 0 0
  • D 3 0 6 7 0 7 0 0 0 0 0
  • E 3 0 6 7 0 7 0 0 0 0

Q7:

If the number 2 . 9 0 6 × 1 0 1 1 is written out in full, how many zeros would be to the right of the digit “6”?

Q8:

To reach escape velocity, a rocket must travel at the rate of 2 . 2 × 1 0 6 ft/min. Rewrite the rate in standard notation.

  • A 2 2 0 2 0 0 0 0 0 ft/min
  • B 2 2 0 0 0 0 0 0 ft/min
  • C 2 2 0 2 0 0 ft/min
  • D 2 2 0 0 0 0 0 ft/min
  • E 2 2 0 0 0 ft/min

Q9:

A dime is the thinnest coin in US currency. Its thickness is 1 . 3 5 × 1 0 3 m. Rewrite this in standard notation.

Q10:

What is 4 × 1 0 3 in standard form?

  • A0.04
  • B0.0004
  • C0.00004
  • D0.004
  • E0.4