﻿ Scientific Notation Worksheets - Page 17 | Problems & Solutions

# Scientific Notation Worksheets - Page 17

Scientific Notation Worksheets
• Page 17
161.
The total college and university enrollment in the U.S. in the year 2000 was 14,979,000. Write this number in scientific notation.
 a. 1.4979 x 105 b. 1.4979 x 106 c. 1.4979 x 107 d. 1.4979 x 108

#### Solution:

A number in scientific notation is written as the product of two factors. The first factor is an integer between 1 to 10 and the second factor is an exponent of 10.

The first factor in the scientific notation of 14,979,000 is 1.4979
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 107
[The decimal point moved 7 places to the left. Use this number as the exponent of 10.]

The total college and University enrollment expressed in scientific notation is 1.4979 x 107.

162.
About 2,980,000 people visited the Yellow Stone National Park during the year 2002. Write this number in scientific notation.
 a. 2.98 x 105 b. 2.89 x 106 c. 2.89 x 105 d. 2.98 x 106

#### Solution:

A number in scientific notation is written as the product of two factors. The first factor is an integer between 1 to 10 and the second factor is an exponent of 10.

The first factor in the scientific notation of 2,980,000 is 2.98
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 106
[The decimal point moved 6 places to the left. Use this number as the exponent of 10.]

The scientific notation of 2,980,000 is 2.98 x 106 .

163.
An estimated 830,000 people were killed in a flood in India. Identify the number in scientific notation.
 a. 9.3 × 105 b. 8.3 × 104 c. 8.3 × 105 d. 8.3 × 106

#### Solution:

A number in scientific notation is written as the product of two factors. The first factor is a number between 1 to 10 and the second factor is an exponent of 10.

The first factor in the scientific notation of 830,000 is 8.3.
[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

The second factor is 105.
[The decimal point moved 5 places to the left. Use this number as the exponent of 10.]

The number 830,000 expressed in scientific notation is 8.3 × 105.

164.
The distance between New York and Tampa is about 1 × 103 miles. Write this number in standard notation.
 a. 1000 miles b. 10 miles c. 100 miles d. 10,000 miles

#### Solution:

1 x 103 = 1000 km
[Multiplying by 1000 moves the decimal point 3 places to the right.]

The distance between New York and Tampa in standard notation is 1000 miles.

165.
The mean distance from Venus to the Sun is about 1.08 × 109 km. Express this number in standard form.
 a. 180,000,000 km b. 108,000,000 km c. 18,000,000 km d. 1,080,000,000 km

#### Solution:

1.08 × 109 = 1,080,000,000 km
[Multiplying by 1,000,000,000 moves the decimal point 9 places to the right.]

The mean distance from Venus to the Sun expressed in standard form is 1,080,000,000 km.

166.
The number of hotels in a particular state in the U.S. is approximately 2.5 × 105. Identify this number in standard form.
 a. 205,000 b. 255,000 c. 250,000 d. 200,000

#### Solution:

2.5 × 105 = 250,000
[Multiplying by 100,000 moves the decimal point 5 places to the right.]

The number of hotels in a particular state in the U.S can be expressed in standard form as 250,000.

167.
The traveling speed of the Earth in the Space is 1.08 × 105 kilometer/hour. Identify this number in standard form.
 a. 1,080 kilometer/hour b. 108,000 kilometer/hour c. 10,800 kilometer/hour d. 1,800 kilometer/hour

#### Solution:

1.08 × 105 = 108,000 km per hour
[Multiplying by 100,000 moves the decimal point 5 places to the right.]

The traveling speed of the Earth in the space in standard form is 108,000 km per hour.

168.
The diameter of a proton is about 1 × 10 - 12 mm. Write this number in standard form.
 a. 1e-11 b. 1e-10 c. 1e-13 d. 1e-12

#### Solution:

1 x 10 -12 = 0.000000000001
[Multiplying by 0.000000000001 moves the decimal point 12 places to the left.]

The diameter of a proton expressed in standard form is 0.000000000001 mm.

169.
The lowest temperature in a lab setting is about 2.8 × 10 - 10 ok. Write this number in standard form.
 a. 2.8e-11 b. 2.8e-10 c. 2.8e-09 d. 2.8e-08

#### Solution:

2.8 x 10 -10 = 0.00000000028
[Multiplying by 0.0000000001 moves the decimal point 10 places to the left.]

The lowest temperature in a lab setting expressed in standard form is 0.00000000028 o k.

170.
The flow volume of the river Mississippi was about 5.93 × 105 ft3 per second at its mouth. Write this number in standard form.
 a. 593000 ft3 b. 5093 ft3 c. 5930 ft3 d. 59300 ft3

#### Solution:

5.93 x 105 = 593000 ft3
[Multiplying by 100000 moves the decimal point 5 places to the right.]

The flow volume of the river Mississippi in standard notation is 593000 ft3 per second.