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Scientific Notation Operations 3/7

Total questions: 15

Worksheet time: 40mins

Name
Class
Date
1.

(7.01 x 108) - (4.01 x 10⁸)

a)

-3 x 10⁸

b)

3 x 10⁸

c)

3.02 x 10⁷

d)

3.937 x 108

2.


(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
3.

What must we do AFTER adding, subtracting, multiplying, and dividing in scientific notation?

a)

make sure our answer is in scientific notation

b)

make sure to line up the digits

c)

make sure it is in standard form

4.
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
5.
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
6.

2 x 10114 x 105\frac{2\ x\ 10^{11}}{4\ x\ 10^5}

a)

0.5 X 106

b)

5 X 105

c)

5 X 1016

d)

0.5 X 1016

7.

Solve (3.0 X 103) X (4.0 X 108)

a)

12 X 1011

b)

1.2 X 1012

c)

7 X 1011

d)

7 X 1024

8.

6 x 10203 x 109\frac{6\ x\ 10^{20}}{3\ x\ 10^9}

a)

2.0 X 1011

b)

1.8 X 1030

c)

2.0 X 1029

d)

1.8 X 1011

9.

20 x 10504 x 1015\frac{20\ x\ 10^{50}}{4\ x\ 10^{15}}

a)

2.4 x 1051

b)

5 x 1065

c)

8 x 1066

d)

5 x 1035

10.

a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
11.

Solve:
(2.1 × 10​2​​) × (3.0 × 10​4)

a)
5.1 x 102
b)
6.3 x 106
c)
5.1 x 106
d)
6.3 x 108
12.

Solve:

(6 x 104)(2 x 102)\frac{(6\ x\ 10^4)}{\left(2\ x\ 10^2\right)}

If the decimal point moves left, the exponent is positive

if the decimal point moves right the exponent is negative

a)

12 x 103

b)

3 x 109

c)

1.2 x 1010

d)

3 x 102

13.

Convert to scientific notation:

520

If the decimal point moves left, the exponent is positive

if the decimal point moves right the exponent is negative

a)

520 x 102

b)

5.2 x 10-2

c)

5.2 x 102

14.

What is scientific notation?

a)

A long way to write really short numbers

b)

A short way to write really large or really small numbers

c)

I don't know...

d)

None of the above

15.
Which number is correctly written in scientific notation?
a)
8.2 x 102
b)
82 x 107
c)
3.45 x 94