Free Printable REVISION: Indices and Standard form

1.

$6.1425\times15^3=6142.5$

What's wrong with this?

a)

You can't put decimals like 6142.5 into standard form

b)

1.82 should be 1.8

c)

Standard form should involve powers of 10, not powers of 15

d)

You can't have an odd power of ten like 3

2.

What's wrong with this?
$19\times10^4=190,000$

a)

The number 19 should be between 1-10

b)

You can't have a power of 4 in standard form

c)

The power of 10 is wrong

d)

The number shouldn't be 19

3.

Express the following in scientific notation:
0.0000002203

a)

.02203 x 10⁷

b)

22.03 x 10^-6

c)

2.203 x 10^-7

d)

22.03 x 106

4.

Express the following in scientific notation:
.000457

a)

457 x 10⁶

b)

457 x 10^-6

c)

4.57 x10⁴

d)

4.57 x 10^-4

5.

How do you write
1001
in scientific notation?

a)

1.0001 x 10⁴

b)

1.01 x 10⁵

c)

1.001 x 10³

d)

10.1 x 10³

6.

How would you write -5.6 x 10^-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

7.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10^-4

c)

5 x 10³

d)

.5 x 10³

8.

Write in standard form

5.12 x $10^{-2}$

a)

0.0512

b)

0.512

c)

512

d)

51,200

9.

Write in Standard Form

25 x $10^{-1}$

a)

0.025

b)

0.25

c)

2.5

d)

250

10.

Write in Standard Form

1.2335 x $10^2$

a)

0.0012335

b)

0.012335

c)

1,233,500

d)

123.35

11.

Write in standard form

9.072 x $10^3$

a)

0.009072

b)

0.0009072

c)

9072

d)

9,072,000

12.

Write in standard form

3.005 x $10^{-6}$

a)

0.0000003005

b)

0.000003005

c)

3,005,000,000

d)

300,500

13.

Write in standard form

6.14 x $10^2$

a)

0.00614

b)

0.0614

c)

614

d)

61400

14.

Write in standard form

9.5 x $10^{-3}$

a)

0.00095

b)

0.0095

c)

95,000

d)

9,500

15.

Write in standard form

8.04 x $10^2$

a)

804

b)

80,400

c)

0.00804

d)

0.0804

16.

Write in standard form

4.5 x $10^{-4}$

a)

45,000

b)

450,000

c)

0.000045

d)

0.00045

17.

Write in standard form

2.56 x $10^5$

a)

25,600,000

b)

256,000

c)

25,605

d)

0.0000256

18.

a)

z¹

b)

1

c)

0

d)

z^-1

19.

a)

t²⁴

b)

t¹²

c)

t¹⁸

d)

t^-12

20.

Evaluate $27^{\frac{4}{3}}$ without the use of a calculator

a)

$81$

b)

$27$

c)

$9$

d)

$3$

21.

$\left(6a^8b\right)\left(10a^3b^4\right)$

a)

$60a^5b^{-3}$

b)

$60a^{24}b^4$

c)

$16a^{11}b^5$

d)

$60a^{11}b^5$

22.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

23.

36a⁸b⁷÷ 30ab³

a)

5/6 a⁸b⁴

b)

6/5 a⁷b³

c)

6/5 a³b⁷

d)

5/6 a⁷b³

24.

6a⁵÷ 2a²

a)

3a³

b)

12a³

c)

4a¹⁰

d)

2a⁷

25.

a⁷×a⁴÷a⁵

a)

a⁷

b)

a⁶

c)

a⁴

d)

a¹¹

26.

Find a^-80 ÷ a⁸

a)

a^-88

b)

a¹⁰

c)

a⁸⁸

d)

a^-72

27.

a)

y⁴

b)

y⁵

c)

y⁶

d)

6^y

28.

a)

x²

b)

x⁶

c)

x⁵

d)

x^-6

29.

a)

3a¹⁵

b)

9a¹⁵

c)

9a⁸

d)

27a¹⁵

30.

a³×a⁴

a)

7a

b)

12a

c)

a¹²

d)

a⁷

31.

Simplify 4⁷ ÷ 4³

a)

4¹⁰

b)

4

c)

4²¹

d)

4⁴

32.

q⁶ x q ^-6

a)

q¹

b)

q²

c)

q¹²

d)

1

33.

3²x 3⁵

a)

3⁶

b)

3⁷

c)

3⁸

d)

3¹⁰

34.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

35.

Simplify 4⁰

a)

1

b)

4

c)

0

REVISION: Indices and Standard form

Total questions: 35

Worksheet time: 27mins

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