Scientific notation

Q1·Straightforward

Which of the following is

65{,}000

written in scientific notation?

$6.5 \times 10^3$$6.5 \times 10^4$$65 \times 10^3$$0.65 \times 10^5$

Q2·Straightforward

Which of the following is

0.0047

written in scientific notation?

$4.7 \times 10^{-2}$$4.7 \times 10^{-3}$$47 \times 10^{-3}$$4.7 \times 10^3$

Q3·Straightforward

840{,}000

is written in scientific notation as

8.4 \times 10^n

. What is the value of

n

?

Q4·Straightforward

0.00091

is written in scientific notation as

9.1 \times 10^n

. What is the value of

n

?

Q5·Moderate

Write

3.6 \times 10^4

as a standard number.

Q6·Moderate

Write

2.5 \times 10^{-3}

as a standard number.

$0.25$$0.025$$0.0025$$0.00025$

Q7·Moderate

Which of the following numbers is the largest?

4.2 \times 10^5 \quad 3.9 \times 10^6 \quad 8.1 \times 10^4 \quad 5.0 \times 10^5

$4.2 \times 10^5$$3.9 \times 10^6$$8.1 \times 10^4$$5.0 \times 10^5$

Q8·Moderate

Write

6.03 \times 10^7

as a standard number.

Q9·Challenging

Calculate

(4 \times 10^2) \times (2 \times 10^3)

and write the answer in scientific notation as

a \times 10^n

. What is the value of

n

?

Q10·Challenging

Calculate

(9 \times 10^8) \div (3 \times 10^5)

and write the answer in scientific notation as

a \times 10^n

. What is the value of

n

?

Q11·Challenging

Calculate

(5 \times 10^3) \times (6 \times 10^4)

and write the answer in correct scientific notation.

$3 \times 10^8$$30 \times 10^7$$3 \times 10^7$$3 \times 10^9$

Q12·Challenging

Calculate

(8 \times 10^{-3}) \div (4 \times 10^2)

and write the answer in correct scientific notation.

$2 \times 10^{-5}$$2 \times 10^5$$2 \times 10^{-1}$$4 \times 10^{-5}$

Scientific notation

Worked examples

Converting a large number to scientific notation

Converting from scientific notation to a standard number

Multiplying numbers in scientific notation

Practise