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Scientific Math (Notation, estimation, equations)

Total questions: 24

Worksheet time: 21mins

Name
Class
Date
1.

Rewrite in 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.

Rewrite in scientific notation:  450,000

a)
4.5  x  105
b)
45  x  105
c)
4.5  x  104
d)
4.5  x  106
3.

Rewrite in scientific notation:  0.000398

a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
4.

Rewrite in 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
5.

Rewrite in scientific notation: 125,678,000

a)
1.25678  x  1012
b)
.125678  x  10-9
c)
12.5678  x  108
d)
1.25678  x  108
6.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
7.
Which number is correctly written in scientific notation?
a)
8.2 x 102
b)
82 x 107
c)
3.45 x 94
8.

What is the answer to the equation:
(9.4 x 106) * (3.2 x 105) = ?

Write the answer in proper scientific notation.

a)

30.1 x 1011

b)
3.8 x 101
c)

3.0 x 1012

d)

2.9 x 101

9.

What is the answer to the equation:
(3.4 x 105) * (1.2 x 10-3) = ?

Write the answer in scientific notation.

a)

4.1 x 10-8

b)
4.8 x 102
c)

4.1 x 102

d)

4.1 x 10-15

10.

Which of the following numbers is the smallest?
1.3 x 1020
2.9 x 1021
9.5 x 1032
8.4 x 1019

a)
1.3 x 1020
b)
2.9 x 1021
c)
9.5 x 1032
d)
8.4 x 1019
11.

Which of the following numbers is the smallest?
1.3 x 10-20
2.9 x 10-21
9.5 x 10-32
8.4 x 10-19

a)

1.3 x 10-20

b)

2.9 x 10-21

c)

9.5 x 10-32

d)

8.4 x 10-19

12.

Which of the following numbers is the largest?
1.3 x 102
2.9 x 100
9.5 x 10-32
8.4 x 10-19

a)

1.3 x 102

b)

2.9 x 100

c)

9.5 x 10-32

d)

8.4 x 10-19

13.

1.01 x 1012 is an example of a number written in scientific notation.

The exponent of 12 tells you your number will be very ________.

a)
Large
b)
Small
14.

7.82 x 10-6 is an example of a number written in scientific notation.

The exponent of -6 tells you your number will be very ________.

a)
Large
b)
Small
15.
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
16.

Which number represents the largest value?

a)

2.35 x 105 m/s

b)

9.78 x 103 m/s

c)

5.01 x 104 m/s

d)

1.101 x 106 m/s

17.

Which number represents the smallest value?

a)

8.11 x 102 mph

b)

7.22 x 109 mph

c)

6.33 x 105 mph

d)

5.44 x 102 mph

18.

For the equation: E = hλE\ =\ h\lambda , solve for λ\lambda .

a)

λ = E - h

b)

λ = h/E

c)

λ = hE

d)
λ = E/h
19.

For the equation: v = ΔxΔtv\ =\ \frac{\Delta x}{\Delta t} , solve for Δt\Delta t .

a)

Δt = v * Δt

b)

Δt = Δx / v

c)

Δt = Δx - v

d)

Δt = v / Δx

20.

For the equation: A = 12 (bh)2A\ =\ \frac{1}{2}\ \left(bh\right)^2 , where b = 10 and h = 2, solve for A.

a)

A = 20

b)

A = 10

c)

A = 400

d)

A = 200

21.

For the equation: vf = vi +atv_f\ =\ v_i\ +at , solve for a.

a)

a=vfvita=\frac{v_f-v_i}{t}

b)

a=vf vita=\frac{v_f\ v_i}{t}

c)

a=tvfvia=\frac{t}{v_f-v_i}

d)

a=vf+vita=\frac{v_f+v_i}{t}

22.

Approximately how many m/s is 65 mph?

a)

30 m/s

b)

120 m/s

c)

65 m/s

d)

6.5 * 101 m/s

23.

Approximately how many miles are 1000 meters (1 km) ?

a)

0.6 miles

b)

3 miles

c)

6 miles

d)

0.3 miles

24.

Approximately how many kg are 250 lbs?

a)

125 kg

b)

250 kg

c)

500 kg

d)

2500 kg