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Lesson: Performing Multiplication and Division on Numbers Expressed in Scientific Notation

In this lesson, we will learn how to perform arithmetic operations with numbers expressed in scientific notation.

Video

15:45

Sample Question Videos

03:10

Worksheet • 25 Questions • 1 Video

Q1:

Find the value of , giving your answer in scientific notation.

  • A
  • B
  • C
  • D

Q2:

Find the value of , giving your answer in scientific notation.

  • A
  • B
  • C
  • D

Q3:

Find the value of , giving your answer in scientific notation.

  • A
  • B
  • C
  • D

Q4:

Find the value of , giving your answer in scientific notation.

  • A
  • B
  • C
  • D

Q5:

Evaluate ( 1 2 0 0 0 0 0 0 0 0 0 ) ( 1 0 0 0 0 0 0 0 ) ( 0 . 0 2 ) ( 2 0 0 0 0 0 0 0 ) ( 5 0 0 0 0 0 ) , expressing it in scientific notation.

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

Q6:

Evaluate ( 1 2 0 0 0 0 0 0 ) ( 0 . 1 6 ) ( 4 0 0 0 ) ( 6 0 0 0 0 0 ) ( 0 . 0 2 ) , expressing it in scientific notation.

  • A 4 × 1 0 − 2
  • B 4 × 1 0 2
  • C 4 × 1 0 5
  • D 4 × 1 0 − 5

Q7:

Evaluate ( 1 4 0 0 0 0 0 ) ( 1 2 0 0 0 0 0 0 0 0 ) ( 0 . 0 0 0 4 ) ( 2 0 0 0 0 0 0 0 ) ( 3 0 0 0 ) , expressing it in scientific notation.

  • A 7 × 1 0 7
  • B 7 × 1 0 6
  • C 7 × 1 0 − 7
  • D 7 × 1 0 − 2
  • E 7 × 1 0 2

Q8:

How many times larger is than ?

  • A300 times
  • B0.03 times
  • C30 times
  • D0.3 times
  • E3 times

Q9:

Calculate ( 8 . 2 × 1 0 ) ÷ ( 4 . 1 × 1 0 ) 4 2 , giving your answer in scientific notation.

  • A 2 × 1 0 2
  • B 2 × 1 0 6
  • C 2 0 × 1 0 2
  • D 2 0 × 1 0 − 2
  • E 2 × 1 0 − 2

Q10:

How many times smaller is 4 × 1 0 8 than 8 × 1 0 1 4 ?

  • A 2 0 0 0 0 0 0 times
  • B 2 0 0 0 0 0 0 0 times
  • C 4 0 0 0 0 0 0 times
  • D 4 0 0 0 0 0 times
  • E 2 0 0 0 0 0 times

Q11:

An electron has a mass of approximately kg. The sun has a mass of approximately kg. How many times heavier is the sun than an electron? Give your answer in the form where is a whole number.

  • A
  • B
  • C
  • D
  • E

Q12:

The circumference of Earth is about 4 × 1 0 4 km and the circumference of Jupiter is about 4 × 1 0 5 km. How many times larger is the circumference of Jupiter than the circumference of Earth?

  • A10 times
  • B0.01 times
  • C100 times
  • D0.1 times
  • E 1 0 0 0 times

Q13:

How many times larger is 6 × 1 0 − 8 than 3 × 1 0 − 1 3 ?

  • A 2 0 0 0 0 0 times
  • B 2 0 0 0 0 0 0 times
  • C 2 0 0 0 0 0 0 0 times
  • D 2 0 0 0 0 times
  • E 2 0 0 0 times

Q14:

The mass of the sun is about 2 × 1 0 3 0 kg and the mass of Earth is about 6 × 1 0 2 4 kg. To the nearest whole number, how many times larger is the mass of the sun than the mass of Earth?

  • A 3 3 3 3 3 3 times
  • B333 times
  • C 3 3 3 3 3 times
  • D 3 3 3 3 times
  • E 3 3 3 3 3 3 3 times

Q15:

How many times larger is 4 × 1 0 5 than 2 × 1 0 4 ?

  • A20 times
  • B0.02 times
  • C2 times
  • D0.2 times
  • E200 times

Q16:

Light from the sun takes 13 minutes to reach one of the planets. Given that light travels at a speed of m/s, determine the distance between the sun and that planet.

  • A meters
  • B meters
  • C meters
  • D meters

Q17:

How many times smaller is 3 × 1 0 − 6 than 9 × 1 0 − 2 ?

  • A 3 0 0 0 0 times
  • B300 times
  • C 3 0 0 0 0 0 times
  • D 3 0 0 0 times
  • E 3 0 0 0 0 0 0 times

Q18:

Given that sunlight travels at a speed of 3 × 1 0 8 m/s, determine how long it takes for sunlight to reach a planet that is 126 million kilometres away from the sun.

Q19:

Find the value of , giving your answer in scientific notation.

  • A
  • B
  • C
  • D

Q20:

Calculate 1 . 2 × 1 0 × 2 . 4 × 1 0 3 2 , giving your answer in scientific notation.

  • A 2 . 8 8 × 1 0 5
  • B 3 . 6 × 1 0 5
  • C 2 . 8 8 × 1 0 6
  • D 2 . 8 8 × 1 0 4
  • E 2 8 . 8 × 1 0 5

Q21:

Calculate the value of , giving your answer in scientific notation.

  • A
  • B
  • C
  • D
  • E

Q22:

How many times larger is 4 × 1 0 8 than 8 × 1 0 − 4 ? Give your answer in scientific notation.

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

Q23:

If the thickness of a sheet of paper is 0.004 cm, what is the height of a stack of 450 sheets of paper?

  • A 1 . 8 × 1 0 0 cm
  • B 1 . 8 × 1 0 − 2 cm
  • C 18 cm
  • D 1 . 8 × 1 0 − 3 cm

Q24:

Find the value of , giving your answer in scientific notation.

  • A
  • B
  • C
  • D

Q25:

Given that , find the value of , without using a calculator. Give your answer in scientific notation.

  • A
  • B
  • C
  • D
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