Standard Form 2

If there are 3 514 500 people in NZ and the average weight per person is 65kg. a)Calculate the total weight of NZ's population b)Write this weight in standard form c)Write this number in standard form in grams(g)

a) 3 514 500 x 65 = 228 442 500 kg NZ's total weight is 228 442 500 kg b) 2.284425 x 10⁸ kg c) (2.284425 x 10⁸) x (1 x 10³) = 2.284425 x 10¹¹ Weight in grams =

The volume of planet Jupiter is 1.4955 x 10¹⁵ km³ Write this number in full

1 495 500 000 000 000 km³

The mass of the Earth is 5.894 x 10³⁰ kg Write this number in standard form in grams(g) Write this number in standard form in tonnes(t)

1) Remember 1kg = 1000g = 1 x 10³ g(Std form) so (5.894 x 10³⁰) x (1 x 10³) = 5.894 x 10³³ g 2) Also 1 t = 1000kg = 1 x 10³kg (Std form) so (5.894 x 10³⁰) ÷ (1 x 10³) = 5.894 x 10²⁷ t

China has a population of 1 567 336 000 Its land area is 8 960 980 km² Write population and land area in standard form

1.567 336 x 10⁹ people in China 8.96098 x 10⁶ km²

Write 1.345 x 10⁵ as an ordinary number

134 500

Write these numbers in standard form 2 million = 1 000 000 3 billion = 1 000 000 000 4 trillion = 1 000 000 000 000

2 x 10⁶ 3 x 10⁹ 4 x 10¹²

The nearest star to Earth is the Sun. The Sun is part of the Milky Way galaxy, and is 25 999 light years from its centre. Write this in standard form

2.5999 x 10⁴ light years

Write 2.745 x 10⁵ as an ordinary number

274 500

Write these numbers in standard form 357 000

3.57 x 10⁵

Write these numbers in standard form 3 980 000

3.98 x 10⁶

The average distance from Earth to the moon is 3.85 x 10⁵ km Write this number in full

385 000 km

Write these numbers in standard form 487.9

4.879 x 10²

Write 4.07 x 10¹⁶ as an ordinary number

40 700 000 000 000 000

Write these numbers in standard form 50.7

5.07 x 10¹

The Solar System was formed about 5.1 billion years ago. In full this is 5 100 000 000 years. Write this age in standard form

5.1 x 10⁹ years

Write these numbers in standard form 5.235

5.235 x 10⁰

There are 6 557 000 sheep in NZ which is twice or double the population of NZ. Write number of sheep and population of NZ in standard form

6.557 x 10⁶ sheep Population of NZ = 6 557 000 ÷ 2 = 3 278 500 so there are 3.2785 x 10⁶ people in NZ

Write these numbers in standard form 6.7

6.7 x 10⁰

Write 6.1 x 10⁴ as an ordinary number

61 000

Write 6.237 x 10⁵ as an ordinary number

623 700

Write 6.01 x 10⁶ as an ordinary number

660 000

Write 8.01 x 10⁶ as an ordinary number

8 010 000

Write 8.678 x 10⁷ as an ordinary number

8 678 000

Write these numbers in standard form 82.672

8.2672 x 10¹

Write these numbers in standard form 862

8.62 x 10²

Write 9.1 x 10³ as an ordinary number

9 100

Write these numbers in standard form 98.22

9.822 x 10¹

Write these numbers in standard form 984 000

9.84 x 10⁵

The national debt of the United States is $9, 978, 567, 134, 552 The estimated population of USA is 401 873 798 people Write the national debt and population of USA in standard form.

9.978567134552 x 10¹² dollars in debt 4.01873798 x 10⁸ people in USA

Write 9.333 x 10² as an ordinary number

933.3