Worksheet: Numbers Operations in Scientific Notation

In this worksheet, we will practice performing arithmetic operations with numbers expressed in scientific notation.

Q1:

Find the value of 4.4×10÷1.1×10, giving your answer in standard form.

  • A 0 . 4 × 1 0
  • B 4 × 1 0
  • C 4 × 1 0
  • D 4 × 1 0

Q2:

Find the value of 4.1×10×9×10, giving your answer in standard form.

  • A 3 . 6 9 × 1 0
  • B 0 . 3 6 9 × 1 0
  • C 3 . 6 9 × 1 0
  • D 3 6 . 9 × 1 0

Q3:

Express 4×106×10 in scientific notation.

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

Q4:

How many times larger is 6×10 than 2×10?

  • A0.3 times
  • B0.03 times
  • C300 times
  • D3 times
  • E30 times

Q5:

How many times smaller is 3×10 than 9×10?

  • A3,000 times
  • B30,000 times
  • C300,000 times
  • D3,000,000 times
  • E300 times

Q6:

Light from the sun takes 13 minutes to reach one of the planets. Given that light travels at a speed of 3×10 m/s, determine the distance between the sun and that planet.

  • A 2 . 3 4 × 1 0 meters
  • B 3 9 × 1 0 meters
  • C 3 9 × 1 0 meters
  • D 2 . 3 4 × 1 0 meters

Q7:

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 cm
  • B 1 . 8 × 1 0 cm
  • C 1 . 8 × 1 0 cm
  • D18 cm

Q8:

Calculate 1.2×10×2.4×10, giving your answer in scientific notation.

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

Q9:

Calculate (8.2×10)÷(4.1×10), giving your answer in scientific notation.

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

Q10:

Evaluate (12,000,000,000)(10,000,000)(0.02)(20,000,000)(500,000), expressing it in scientific notation.

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

Q11:

How many times larger is 4×10 than 8×10? Give your answer in scientific notation.

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

Q12:

Given that sunlight travels at a speed of 3×10 m/s, determine how long it takes for sunlight to reach a planet that is 126 million kilometers away from the sun.

Q13:

Find the value of 8×10+7.1×10, giving your answer in standard form.

  • A 1 . 5 1 × 1 0
  • B 1 . 5 1 × 1 0
  • C 8 . 7 1 × 1 0
  • D 7 . 9 × 1 0

Q14:

Calculate the value of 5.96×10+6.04×107.9×10, giving your answer in standard form.

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

Q15:

Find the value of 8.7×107.7×10, giving your answer in standard form.

  • A 7 . 9 3 × 1 0
  • B 6 . 8 3 × 1 0
  • C 1 × 1 0
  • D 1 × 1 0

Q16:

Write 3+(7×10)+8×10+6×10+6×10+2×10 in standard form.

  • A 2 . 6 6 8 7 3 × 1 0
  • B 3 . 7 8 6 6 2 × 1 0
  • C 3 . 2 × 1 0
  • D 2 . 6 6 8 7 3 × 1 0

Q17:

How many times smaller is 4×10 than 8×10?

  • A4,000,000 times
  • B200,000 times
  • C2,000,000 times
  • D400,000 times
  • E20,000,000 times

Q18:

An electron has a mass of approximately 9×10 kg. The sun has a mass of approximately 2×10 kg. How many times heavier is the sun than an electron? Give your answer in the form 𝑎×10 where 𝑎 is a whole number.

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

Q19:

The circumference of Earth is about 4×10 km and the circumference of Jupiter is about 4×10 km. How many times larger is the circumference of Jupiter than the circumference of Earth?

  • A10 times
  • B100 times
  • C1,000 times
  • D0.1 times
  • E0.01 times

Q20:

How many times larger is 6×10 than 3×10?

  • A200,000 times
  • B2,000 times
  • C20,000 times
  • D20,000,000 times
  • E2,000,000 times

Q21:

The mass of the sun is about 2×10 kg and the mass of Earth is about 6×10 kg. To the nearest whole number, how many times larger is the mass of the sun than the mass of Earth?

  • A3,333,333 times
  • B333,333 times
  • C33,333 times
  • D333 times
  • E3,333 times

Q22:

How many times larger is 4×10 than 2×10?

  • A0.02 times
  • B20 times
  • C200 times
  • D2 times
  • E0.2 times

Q23:

How many times larger is 4×10 than 2×10?

  • A2,000 times
  • B200,000 times
  • C20,000,000 times
  • D2,000,000 times
  • E20,000times

Q24:

A paper clip has a mass of 5×10 kg and a brick has a mass of approximately 3 kg. How many times heavier is the brick than the paper clip?

  • A6,000 times
  • B6,000,000 times
  • C600,000 times
  • D600 times
  • E60,000 times

Q25:

The population of Canada is about 4×10 and the population of the United States is about 3×10. How many times larger is the popuation of the United States than the population of Canada?

  • A0.75 times
  • B13.33 times
  • C7.5 times
  • D0.133 times
  • E75 times

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