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Scientific notation

Total questions: 52

Worksheet time: 1hrs 20mins

Name
Class
Date
1.

The mass of a Chromebook is approximately 0.00185 metric ton. How is this number written in scientific notation?

a)

185 × 10⁻⁵

b)

1.85 × 10⁻³

c)

18.5 × 10⁻⁴

d)

0.185 × 10⁻²

2.

If a number written in scientific notation has a negative exponent, the number in standard notation will be ____________

a)

Large

b)

Tiny

3.

The distance from Venus to Sun is 6,700,000 miles. How is this number expressed in scientific notation?

a)

67 × 10⁻⁵

b)

6.7 × 10⁶

c)

0.67 × 10⁷

d)

6.7 × 10⁻⁶

4.

Mrs. Gilbert used a microscope to measure the diameter of her pet's hair. She found that the diameter of the hair was 0.000054 meter. How is this number written in scientific notation?

a)

5.4 × 10⁻⁵

b)

5.4 × 10⁶

c)

5.4 × 10⁵

d)

5.4 × 10⁻⁶

5.

The coefficient of a number written in scientific notation can be 10 or more.


Note: Coefficient is the non-zero (NOT Zero) decimal # before the multiplication sign

a)

True

b)

False

6.

The number below will have what type of an exponent & why?


0.000283

4 lines
7.

Which of the following represent numbers written in scientific notation? Check all that apply.

a)

0.125 X 105

b)

1.25 X 105

c)

125 X 10-5

d)

2.5 X 10-5

8.

How is 0.0000582 expressed in scientific notation?

a)

5.82 X 105

b)

58.2 X 10-5

c)

5.82 X 10-5

d)

0.582 X 105

9.

Which of the following is 9.2 X 107 written in standard form?

a)

0.00000092

b)

9.2000000

c)

920,000,000

d)

92,000,000

10.

Which of the following is true about 3.2 X 10-6? Select all that apply.

a)

The standard form of the number is a large number that is more than one.

b)

The standard form of the number is a tiny number that is less than one.

c)

The exponent is negative because the number in standard form is a small number.

d)

The exponent is negative because the number in standard form is a large number.

11.

The population of a country is 500,640. How is this number expressed in scientific notation?

a)

5.0064 X 105

b)

5.0064 X 10-5

c)

5.0 X 105

d)

500.64 X 10-5

12.

A proton weighs 0.000429 milligrams. Which of the following shows the mass of the proton expressed in scientific notation?

a)

0.429 X 10-3

b)

429 X 10-3

c)

4.29 X 10-4

d)

42.9 X 10-4

13.

The base number used in all numbers written in scientific notation is ______ .

a)

100

b)

1

c)

0

d)

10

14.

If a number written in scientific notation has a positive exponent, the number in standard notation will be ____________

a)

Large

b)

Tiny

15.

How confident do you feel about converting numbers between standard and scientific notations?

a)

Super confident!

b)

I'm good at it

c)

I'm alright

d)

Not confident at all

16.
How would you write 4.3756 x 10in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
17.

How would you write 0.0005 in scientific notation?

a)

50 x 10-5

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

18.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
19.

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

a)

a really big number.

b)

a really small number.

20.

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

a)

a really large number.

b)

a really small number.

21.
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
22.

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

a)

Subtract

b)

Divide

c)

Multiply

d)

Add

23.

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

a)

Subtract

b)

Multiply

c)

Divide

d)

Add

24.
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
25.

If you add to your exponent of 10, you move your decimal...

a)

Left

b)

Right

c)

Up

d)

Down

26.

If you subtract from your exponent of 10, you move your decimal to the ....

a)

Right

b)

Left

c)

North

d)

South

27.
(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
28.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
29.
Subtract withing scientific notation 
(7.32 x 10⁶) - (4.01 x 10⁸)
a)
-3.937 x 10⁸
b)
3.937 x 10⁸
c)
3.937 x 10⁷
d)
3.937 x ⁻²
30.
Add withing scientific notation 
(5.2 x 10⁷) + (3.01 x 10⁴)
a)
5.20301 x 10¹¹
b)
.520301 x 10⁷
c)
5.20301 x 10⁷
d)
5.20301 x 10⁸
31.
Add within scientific notation 
(6.2 x 10²) + (9.7 x 10⁰)
a)
.6297 x 10²
b)
6.297 x 10⁰
c)
6.297 x 10³
d)
6.297 x 10²
32.
Subtract the within the scientific notation. 
(2 x 10³) - (1.9 x 10²)
a)
1.81 x 10⁵
b)
1.81 x 10³
c)
1.81 x 10⁶
d)
1.81 x 10⁴
33.

What is the ONLY thing that matters when adding and subtracting numbers in scientific notation?

a)

That the exponents are different

b)

That the constants are the same

c)

That the exponents are the same

d)

That both constants are positive

34.

True or false: When moving the decimal, if you move left, the exponent gets bigger, and if you move right, it gets smaller.

a)

True

b)

False

35.

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

36.

Convert this number to standard notation: 7.1 x 104

(a)  

37.

Convert this number into scientific notation: 0.068

a)

6.9 x 106

b)

6.8 x 10-9

c)

6.8 x 10-2

d)

None of the above

38.

Convert this number into scientific notation: 950,000

a)

9.5 x 105

b)

9.5 x 10-9

c)

9.5 x 102

d)

None of the above

39.

Which value is the greatest

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

40.

Which number is the least in value

a)

5.0 x 10-9

b)

5.0 x 10-4

c)

5.0 x 106

d)

5.0 x 108

41.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
42.
What is it called when you go from this form to this next form?
0.0088 to 8.8 x 103
a)
Standard form to scientific notation
b)
Scientific notation to regular form
c)
Scientific notation to standard form
d)
Standard form to regular form
43.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
44.
When your exponent is negative, you move your decimal....
a)
to the right
b)
to the left
c)
to both sides
d)
nowhere.... the decimal goes nowhere
45.
ANY number raised to a power of 0 will be....
a)
10
b)
itself
c)
1
d)
0
46.
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
47.
How do you write
8.317 x 106
in standard form?
a)
8, 371, 000
b)
83, 170, 000
c)
837, 100
d)
8, 317, 000
48.
What property of multiplication allows us to rearrange and multiply our factors in ANY order?
a)
Distributive Property
b)
Associative Property
c)
Identity Property
d)
Commutative Property
49.
Solve:
(2.1×102​​× (3.0×104)
a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
50.
Solve:
(6 x 106) / (2 x 103)
a)
12 x 103
b)
3 x 109
c)
1.2 x 104
d)
3 x 103
51.
Solve:
(9 x 10-6) divided by (3 x 10-3
a)
27 x 10-9
b)
3 x 10-3
c)
3 x 10-9
d)
27 x 10-3
52.
Solve:
(2.2 x 10 4) x (7.1x 10 5)
a)
1.562 x 1010
b)
15.62 x 109
c)
15.62 x 1020
d)
1.562 x 1020