Standard Form (1)

1. (a) Write 3104.8 as an ordinary number. (b) Write 21024.3 as an ordinary number.

2. Convert these numbers to standard form.

(a) 0.000567

(b) 0.987

(c) 710156

(d) 0.0000605

(e) 0.008

3. (a) Write 3820 in standard form. (b) Write 0·00236 in standard form.

4. 7·3 x 108 ÷ 6·4 x 10

–7

5. Convert these numbers into standard form.

(a) 65345

(b) 64000

(c) 65865758

(d) 765

6. Find the value of (1.8 x 1012

) ÷ (2 x 108)

7. (a) Work out (3 x 102) x (4 x 10

5) Give your answer in standard form.

(b) Work out (3 x 102) ÷ (4 x 10

5) Give your answer in standard form.

8. (a) Write 8.2 × 105 as an ordinary number.

(b) Write 0.000 376 in standard form.

(c) Work out the value of (2.3 × 1012

) ÷ (4.6 × 103. [Give your answer in standard form.]

9. Calculate, giving answers in standard form,

(a) (3.45 10-5

+ 9.5 10-6

) 0.0024

(b) (2.31 105 3.98 10

-3 )+ 0.0013

10. xy

yxp

2

89 104,105.8 yx

Find the value of p. Give your answer in standard form correct to 2 significant figures.

11. Work out 5

3

108

104

(Give your answer in standard form.)

12. The time taken for light to reach Earth from the edge of the known universe is 01400000000 years.

Light travels at the speed of 9.46 × 1012

km/year. Work out the distance, in kilometres, from the edge of

the known universe to Earth. [Give your answer in standard form. ]

13. The surface area of Earth is 510 072 000 km2.

The surface area of Jupiter is 6.21795 × 1010 km2.

The surface area of Jupiter is greater than the surface area of Earth.

How many times greater? [Give your answer in standard form.] 3 marks (2011 June/C)

14. (a) Write 6.7 × 10–5

as an ordinary number.

(b) Work out the value of (3 × 107) × (9 × 10

6). [Give your answer in standard form.]

3 marks (2012 June)

15. Write the following numbers in order of size. Start with the smallest number.

0.038 × 102 3800 × 10

-4 380 0.38 × 10

-1

2 marks (2012 Nov NC)