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

Q1:

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

Q2:

Q3:

Q4:

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.

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.

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.

Q8:

How many times larger is than ?

Q9:

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

Q10:

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

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.

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?

Q13:

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

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?

Q15:

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

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.

Q17:

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

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:

Q20:

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

Q21:

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

Q22:

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

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?

Q24:

Q25:

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

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