Step: 1

A number is written in scientific notation as the product of two factors. The first factor should be greater than 1 and less than 10 and the second factor should be a power of 10.

Step: 2

The first factor in the scientific notation of 783,600 is 7.836.

[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

Step: 3

The second factor is 10^{5}.

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

Step: 4

The population of Delaware in scientific notation is 7.836 × 10^{5}.

Correct Answer is : 7.836 × 10^{5}

Step: 1

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

Step: 2

The first factor in the scientific notation of 5,913,520,000 is 5.91352.

[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

Step: 3

The second factor is 10^{9}.

[The decimal is moved 9 places to the left. Use this number as the exponent of 10.]

Step: 4

So, the mean distance from the Pluto to the Sun in scientific notation is 5.91352 × 10^{9} km.

Correct Answer is : 5.91352 × 10^{9} km

Step: 1

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

Step: 2

The first factor in the scientific notation of 0.004 is 4.

[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

Step: 3

The second factor is 10^{- 3}.

[The decimal point is moved 3 places to the right. The negative of this number is used as the exponent of 10.]

Step: 4

The radius of the circle in scientific notation is 4 × 10^{- 3} meters.

Correct Answer is : 4 × 10^{- 3} meters

Step: 1

2.68 × 10^{-3} = 0.00268

[Multiplying by 0.001 moves the decimal point 3 places to the left.]

Step: 2

The diameter of the cable in standard notation is 0.00268 meters.

Correct Answer is : 0.00268

Step: 1

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

Step: 2

The first factor is 6.2834.

[Move the decimal point such that the number is between 1 and 10.]

Step: 3

The second factor is 10^{4}.

[As the decimal is moved 4 places to the left, take the exponent of 10 as 4.]

Step: 4

So, the number 62834 in scientific notation is 6.2834 x 10^{4}.

Correct Answer is : 6.2834 x 10^{4}

Step: 1

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

Step: 2

The first factor is 1.4.

[Move the decimal point such that the number is greater than 1 but less than 10.]

Step: 3

The second factor is 10^{3}.

[As the decimal is moved 3 places to the left, take the exponent of 10 as 3.]

Step: 4

So, the number 1400 in scientific notation is 1.4 x 10^{3}.

Correct Answer is : 1.4 x 10^{3}

Step: 1

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

Step: 2

The first factor in the scientific notation of 3,428,000 is 3.428.

[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

Step: 3

The second factor is 10^{6}.

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

Step: 4

The total number of farms in scientific notation is 3.428 × 10^{6}.

Correct Answer is : 3.428 × 10^{6}

Step: 1

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

Step: 2

The first factor in the scientific notation of 1,514,000 is 1.514.

[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

Step: 3

The second factor is 10^{6}.

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

Step: 4

The total number of farms in scientific notation is 1.514 × 10^{6}.

Correct Answer is : 1.514 × 10^{6}

Step: 1

3.2 × 10^{4} = 32,000

[Multiplying by 10,000, moves the decimal point 4 places to the right.]

Step: 2

The total area occupied by the state of South Carolina in decimal form is 32,000 square miles.

Correct Answer is : 32,000 square miles

Step: 1

9.87 × 10^{8} = 987,000,000 acres

[Multiplying by 100,000,000 moves the decimal point 8 places to the right.]

Step: 2

The total extent of farm land expressed in decimal form is 987,000,000 acres.

Correct Answer is : 987,000,000 acres

Step: 1

483 × 10^{6} = 483,000,000 miles

[Shift the decimal point 6 places to the right.]

Step: 2

The mean distance from Jupiter to the Sun expressed in standard form is 483,000,000 miles.

Correct Answer is : 483,000,000 miles

Step: 1

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

Step: 2

The first factor in the scientific notation of 986 is 9.86.

[Shift the decimal point to get a factor greater than or equal to 1 and less than 10.]

Step: 3

The second factor is 10^{2}.

[Use the number of places the decimal point shifts as the exponent of 10.]

Step: 4

So, the height of the Empire state building in scientific notation is 9.86 × 10^{2} ft.

Correct Answer is : 9.86 × 10^{2} ft

Step: 1

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

Step: 2

The first factor in the scientific notation of 1,454 is 1.454.

[Shift the decimal point to get a factor greater than or equal to 1 and less than 10.]

Step: 3

The second factor is 10^{3}.

[Use the number of places the decimal point shifts as the exponent of 10.]

Step: 4

So, the height of the Willis Tower in scientific notation is 1.454 × 10^{3} ft.

Correct Answer is : 1.454 × 10^{3} ft

Step: 1

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

Step: 2

The first factor in the scientific notation of 0.00000000011 is 1.1.

[Move the decimal point to get a factor greater than or equal to 1 and less than 10.]

Step: 3

The second factor is 10^{-10}.

[The decimal point moved 10 places to the right. The negative of this number is used as the exponent of 10.]

Step: 4

The diameter of an hydrogen atom expressed in scientific notation is 1.1 × 10^{- 10} meters.

Correct Answer is : 1.1 × 10^{-10}

Step: 1

5.79 × 10^{7} = 57900000 km

[Multiplying by 10,000,000 moves the decimal point 7 places to the right.]

Step: 2

The mean distance from Mercury to the Sun expressed in standard form is 57,900,000 km.

Correct Answer is : 57,900,000

- Comparing and Ordering Numbers in Scientific Notation-Gr 8-Solved Examples
- Operations with Scientific Notations-Gr 8-Solved Examples
- Using Laws of Exponents-Gr 8-Solved Examples
- Representing Squares and Square Roots-Gr 8-Solved Examples
- Identifying Square and Cube Roots of a Numbers-Gr 8-Solved Examples
- Applying Proportional Relationships-Gr 8-Solved Examples
- Using Graphs to represent Proportional Relationships-Gr 8-Solved Examples
- Solving Linear Equations in One Variable-Gr 8-Solved Examples
- Solving Multi-Step Linear Equations Using Distributive Property-Gr 8-Solved Examples
- Solving Systems of Equations by Substitution Method-Gr 8-Solved Examples
- Solving Systems of Equations by Elimination Method-Gr 8-Solved Examples
- Solving Linear Systems Equations Graphically-Gr 8-Solved Examples
- Finding Number of Solutions of System of Linear Equations-Gr 8-Solved Examples
- Word Problems on Systems of Equations-Gr 8-Solved Examples

- Scientific Notation