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Worksheet: Expressing Numbers in Scientific Notation and Standard Form

Q1:

What is 4 0 0 0 0 0 0 0 written in scientific notation?

  • A 4 × 1 0 6
  • B 4 × 1 0 8
  • C 4 0 × 1 0 6
  • D 4 × 1 0 7
  • E 4 0 × 1 0 7

Q2:

Express 8 7 4 5 2 7 8 9 3 in scientific notation.

  • A 0 . 8 7 4 5 2 7 8 9 3 × 1 0 9
  • B 8 7 . 4 5 2 7 8 9 3 × 1 0 7
  • C 8 . 7 4 5 2 7 8 9 3 × 1 0 8
  • D 8 . 7 4 5 2 7 8 9 3 × 1 0 8
  • E 8 . 7 4 5 2 7 8 9 3 × 1 0 7

Q3:

Express 0.00447 in scientific notation.

  • A 4 . 4 7 × 1 0 3
  • B 4 . 4 7 × 1 0 4
  • C 4 . 4 7 × 1 0 4
  • D 4 . 4 7 × 1 0 3
  • E 4 4 . 7 × 1 0 3

Q4:

Write 782 million in scientific notation.

  • A 7 . 8 2 × 1 0 1 1
  • B 7 . 8 2 × 1 0 9
  • C 7 . 8 2 × 1 0 6
  • D 7 . 8 2 × 1 0 8
  • E 7 . 8 2 × 1 0 4

Q5:

In America, about 10 million dollars is spent every day on potato chips. Express this amount in scientific notation.

  • A 1 × 1 0 5 dollars
  • B 1 0 × 1 0 6 dollars
  • C 1 0 × 1 0 6 dollars
  • D 1 × 1 0 7 dollars
  • E 1 × 1 0 6 dollars

Q6:

There are approximately 200 million cows in India. Express this number in scientific notation.

  • A 2 × 1 0 4
  • B 2 × 1 0 6
  • C 2 0 × 1 0 6
  • D 2 × 1 0 8
  • E 2 × 1 0 9

Q7:

What is 0.00007 written in scientific notation?

  • A 7 × 1 0 4
  • B 7 × 1 0 6
  • C 7 0 × 1 0 4
  • D 7 × 1 0 5
  • E 7 0 × 1 0 6

Q8:

Approximately 3 5 0 0 0 tons of pasta are consumed in America every year. Express this number in scientific notation.

  • A 3 5 × 1 0 4
  • B 3 . 5 × 1 0 3
  • C 3 . 5 × 1 0 5
  • D 3 . 5 × 1 0 4
  • E 3 5 × 1 0 3

Q9:

In the US, around 7 0 0 0 tons of worn out currency are shredded every year. Express this number in scientific notation.

  • A 7 × 1 0 2
  • B 7 × 1 0 4
  • C 7 0 × 1 0 3
  • D 7 × 1 0 3
  • E 7 × 1 0 3

Q10:

The ship Titanic that sank in the Atlantic had a mass of about 4 7 4 5 0 0 0 0 kg. Which of the following could be used as an estimate for this value?

  • A 5 × 1 0 8
  • B 5 × 1 0 6
  • C 4 × 1 0 7
  • D 5 × 1 0 7
  • E 4 × 1 0 8

Q11:

An estimate for the number of eggs a queen termite can produce in a lifetime is 1 0 0 0 0 0 0 0 0 . Write this number in scientific notation.

  • A 1 × 1 0 7
  • B 1 × 1 0 6
  • C 1 0 × 1 0 6
  • D 1 × 1 0 8
  • E 1 0 × 1 0 7

Q12:

An estimate for the height of Mount Everest is 3 0 0 0 0 feet. Write this number in scientific notation.

  • A 3 × 1 0 3
  • B 3 × 1 0 5
  • C 3 0 × 1 0 5
  • D 3 × 1 0 4
  • E 3 0 × 1 0 3

Q13:

Express 25 in scientific notation.

  • A 2 . 5 × 1 0 2
  • B 2 5 × 1 0 1
  • C 2 . 5 × 1 0 1
  • D 2 . 5 × 1 0 1
  • E 2 5 × 1 0 1

Q14:

Express 248 in scientific notation.

  • A 0 . 2 4 8 × 1 0 2
  • B 2 4 . 8 × 1 0 2
  • C 2 . 4 8 × 1 0 2
  • D 2 . 4 8 × 1 0 2
  • E 0 . 0 2 4 8 × 1 0 3

Q15:

Express in scientific notation.

  • A
  • B
  • C
  • D

Q16:

Write 0.000853 in scientific notation.

  • A 8 . 5 3 × 1 0 4
  • B 8 . 5 3 × 1 0 3
  • C 8 . 5 3 × 1 0 3
  • D 8 . 5 3 × 1 0 4
  • E 8 . 5 3 × 1 0 2

Q17:

Express 0.146 in scientific notation.

  • A 1 4 . 6 × 1 0 1
  • B 1 . 4 6 × 1 0 2
  • C 1 . 4 6 × 1 0 1
  • D 1 . 4 6 × 1 0 1
  • E 1 . 4 6 × 1 0 2

Q18:

Express in scientific notation.

  • A
  • B
  • C
  • D

Q19:

The length of an object is 7 mm. Express this length in metres, giving your answer in standard form.

  • A 7 × 1 0 1 m
  • B 7 × 1 0 2 m
  • C 7 × 1 0 3 m
  • D 7 × 1 0 3 m

Q20:

The speed of light is approximately 3 0 0 0 0 0 0 0 0 m/s. Write this speed in scientific notation.

  • A 3 × 1 0 / 7 m s
  • B 3 × 1 0 / 9 m s
  • C 3 0 × 1 0 / 7 m s
  • D 3 × 1 0 / 8 m s
  • E 3 0 × 1 0 / 8 m s

Q21:

A terabyte is made of approximately 1 0 9 9 5 0 0 0 0 0 0 0 0 bytes. Rewrite in scientific notation.

  • A 1 0 . 9 9 5 × 1 0 1 2 bytes
  • B 1 . 0 9 9 5 × 1 0 1 1 bytes
  • C 1 . 0 9 9 5 × 1 0 1 3 bytes
  • D 1 . 0 9 9 5 × 1 0 1 2 bytes
  • E 1 0 . 9 9 5 × 1 0 1 1 bytes

Q22:

The average distance between Earth and the sun is 92 960 000 mi. Rewrite this distance using scientific notation.

  • A 9 2 . 9 6 × 1 0 7 mi
  • B 9 . 2 9 6 × 1 0 6 mi
  • C 9 . 2 9 6 × 1 0 8 mi
  • D 9 . 2 9 6 × 1 0 7 mi
  • E 9 2 . 9 6 × 1 0 6 mi

Q23:

The population of the world is about 7 5 7 5 4 3 0 3 1 6 . Which of the following could be used as an estimate for this value?

  • A 8 × 1 0 1 0
  • B 8 × 1 0 8
  • C 7 × 1 0 9
  • D 8 × 1 0 9
  • E 7 × 1 0 8

Q24:

The value of the services sector of the US economy in the first quarter of 2012 was $ 1 0 6 3 3 . 6 billion. Rewrite this amount in scientific notation.

  • A $ 1 0 . 6 3 3 6 × 1 0 1 3
  • B $ 1 . 0 6 3 3 6 × 1 0 1 1
  • C $ 1 . 0 6 3 3 6 × 1 0 1 4
  • D $ 1 . 0 6 3 3 6 × 1 0 1 3
  • E $ 1 0 . 6 3 3 6 × 1 0 1 2

Q25:

An estimate for the population of London, United Kingdom, is 9 million. Write this number in scientific notation.

  • A 9 × 1 0 5
  • B 9 × 1 0 7
  • C 9 0 × 1 0 6
  • D 9 × 1 0 6
  • E 9 0 × 1 0 5