Free Printable Scientific notation part 2

1.

Change from standard form to scientific notation: 12,000,000

a)

12.0 x 10⁷

b)

0.12 x 10⁷

c)

1.2 x 10⁶

d)

1.2 x 10⁷

2.

Change from standard form to scientific notation: 450,000

a)

4.5 x 10⁵

b)

45 x 10⁵

c)

4.5 x 10⁴

d)

4.5 x 10⁶

3.

Change from standard form to scientific notation: 0.004078

a)

4.078 x 10^-3

b)

4.078 x 10³

c)

40.78 x 10^-4

d)

.4078 x 10^-2

4.

Which number is correctly written in scientific notation?

a)

5.67 x 10⁵

b)

56.7 x 10³

c)

0.567 x 10⁶

5.

Which number is correctly written in scientific notation?

a)

8.2 x 10²

b)

82 x 10⁷

c)

3.45 x 9⁴

6.

How would you write 0.0005 in scientific notation?

a)

50 x 10⁵

b)

5 x 10⁴

c)

5 x 10³

d)

.5 x 10³

7.

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

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

8.

The rule of scientific notation is to write all exponents with a base of ____.

a)

50

b)

5

c)

100

d)

10

9.

Which of the following in the LARGEST number?

a)

9 x 10⁶

b)

8 x 10¹⁰

c)

1.3 x 10¹²

d)

5.3 x 10³

10.

Which one of these is in scientific notation?

a)

8.987000

b)

8.98 x 10⁶

c)

80.987 x 10

d)

8.98⁶

11.

Write 9.8 x 10^-5in standard form

a)

0.00098

b)

0.000098

c)

.098

d)

98,000

12.

Write 0.000972 in scientific notation.

a)

9.72 x 10^-4

b)

9.72 x 10^-3

c)

972 x 10^-4

d)

9.72 x 10⁴

13.

Which is the correct coefficient of 23,400,000 when it is written in scientific notation?

a)

0.234

b)

2.34

c)

234.

d)

23.4

14.

Try to change the number back to standard form: 3.97 x 10^-2

a)

0.000397

b)

0.0397

c)

0.0000397

d)

0.397

15.

Write 2.08 x 10²in standard form.

a)

208

b)

0.0208

c)

20,800

d)

0.208

16.

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

17.

7.82 x 10^-⁶ is an example of scientific notation. The exponent of -6 tells you your number will be very ________.

a)

Large

b)

Small

c)

Basic

18.

Choose the smaller number.

a)

$9.5\times10^4$

b)

$9.21\times10^7$

19.

Choose the bigger number.

a)

$2.45\times10^{-6}$

b)

$7.3\times10^{-8}$

20.

The table shows the mass in grams of one atom of each of several elements. List the elements in order from the least mass to greatest mass per atom.

a)

hydrogen, carbon, oxygen, silver, gold

b)

hydrogen, oxygen, gold, siver, carbon

c)

carbon, oxygen, silver, gold, hydrogen

d)

gold, oxygen, carbon, silver, hydrogen

21.

How many numbers can be in front of the decimal if the number is in correct scientific notation?

a)

Only a Zero

b)

One

c)

Two

d)

Any amount

22.

What do you do to your exponents when you are multiplying in scientific notation?

a)

Subtract

b)

Multiply

c)

Divide

d)

Add

23.

What do you do to your exponents when you are dividing in scientific notation?

a)

Subtract

b)

Divide

c)

Multiply

d)

Add

24.

Multiply:
(9.4 x 10⁶)(3.2 x 10⁵)

a)

30.08 x 10¹¹

b)

3.8 x 10¹

c)

3.008 x 10¹²

d)

2.9375 x 10¹

25.

Divide:
(6.9 x 10⁷) / (2.3 x 10^-3)

a)

3 x 10¹⁰

b)

3 x 10⁴

c)

3 x 10^-4

d)

3 x 10^-11

26.

(9.6×10^-8)÷(2×10^-15)

a)

-4.8×10⁷

b)

4.8×10⁷

c)

4.8×10^-7

d)

-4.8×10^-7

27.

Multiply:
(3.4 x 10⁵)(1.2 x 10^-3)

a)

4.08 x 10^-8

b)

4.8 x 10²

c)

4.08 x 10²

d)

4.08 x 10^-15

28.

(2 x 10⁹)(4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

29.

5 x 10¹²
------------
2 x 10⁶

a)

2.5 x 10²

b)

2.5 x 10⁶

c)

3 x 10²

d)

2.5 x 10¹⁸

30.

Light travels at a rate of 186,000 miles per second. Write this number in scientific notation.

a)

1.86 x 10⁵

b)

1.86 x 10⁴

c)

18.6 x 10⁴

d)

186 x 10³

31.

The closest galaxy to our own is over 2,500,000 light years away. Write this number is scientific notation.

a)

2.5 x 10⁷

b)

.25 x 10⁷

c)

25 x 10⁵

d)

2.5 x 10⁶

32.

If the exponent is a positive number the original number was...

a)

a really big number.

b)

a really small number.

33.

If the exponent is a negative number the original number was...

a)

a really large number.

b)

a really small number.

34.

Convert the following number to Standard Notation:

$4\times10^5$

a)

0.40000

b)

40,000

c)

400,000

d)

0.00004

35.

Simplify

a)

y²

b)

y³⁵

c)

y¹²

d)

y¹⁴

36.

According to exponent rules, when we divide the same base, we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

37.

Simplify (-4x)⁰

a)

-4x

b)

-4

c)

1

d)

-1

38.

Our first exponent rule says that when you are multiplying two exponents with the same base, you keep the base the same and ________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

39.

Which of the following has the largest value?

3,400,000

3.4 x 10^-5

64,000

6.4 x 10⁸

a)

3,400,000

b)

3.4 x 10^-5

c)

64,000

d)

6.4 x 10⁸

40.

Which of the following has the smallest value?

2.3 x 10²

2.3 x 10⁰

2.3 x 10^-2

2.3 x 10¹

a)

2.3 x 10²

b)

2.3 x 10⁰

c)

2.3 x 10^-2

d)

2.3 x 10¹

41.

Which part of the scientific notation expression tells you how many places the decimal point will move?

a)

the coefficient

b)

the power of ten

42.

$\frac{a^7}{a^{14}}$

a)

$\frac{1}{a^7}$

b)

$a^2$

c)

a

d)

$\frac{1}{a^2}$

43.

a)

b)

c)

d)

44.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

45.

Mark studied a group of 30 whales. If each whale weighed approximately $3.8\times10^5$ pounds, find the total weight of all 30 whales. Express your answer in scientific notation.

a)

$114\times10^5$ lbs

b)

$14.4\times10^6$ lbs

c)

$1.14\times10^7$ lbs

d)

$1.14\times10^5$ lbs

46.

$\left(3x\right)^3$

a)

$9x^3$

b)

$x^3$

c)

$27x^3$

d)

$6x^3$

47.

(2 x 10⁹)(4 x 10^-4)

a)

8 x 10¹³

b)

8 x 10³⁶

c)

8 x 10⁵

d)

8 x 10^-36

48.

Which of the following represents a true statement?

a)

$19^{21}\cdot19^3=19^{63}$

b)

$\left(24^8\right)^5=24^{40}$

c)

$20^1=20^0$

d)

$\frac{16^{40}}{16^{20}}=16^2$

49.

Simplify.

$\frac{8.4\times10^{10}}{3\times10^7}$

a)

$2.8\times10^{17}$

b)

$5.4\times10^3$

c)

$2.8\times10^{70}$

d)

$2.8\times10^3$

50.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really long numbers

c)

I don't know...

d)

None of the above

51.

Is this written in scientific notation?

a)

Yes, it is in scientific notation!

b)

No, it's not in scientific notation.

52.

UNDERSTANDING
If the exponent is a positive number...

a)

you will get a large number

b)

you will get a smaller number

53.

UNDERSTANDING
If the exponent is a negative number...

a)

you will get a large number

b)

you will get a small number

54.

Write in scientific notation. 45.9

a)

4.59 x 10²

b)

4.59 x 10¹

c)

4.59 x 10^-1

d)

4.59 x 10^-2

55.

The diameter of the planet Mercury is 4.87 x 10³ km. The diameter of the planet Venus is 1.21 x 10⁴ km. The diameter of the planet Mars is 1.28 x 10³ km. Which planet has the smallest diameter?

a)

Mercury

b)

Mars

c)

Venus

Scientific notation part 2

Total questions: 55

Worksheet time: 5hrs 35mins

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