Practice the questions of **McGraw Hill Math Grade 8 Answer Key PDF Lesson 10.7 Scientific Notation **to secure good marks & knowledge in the exams.

## McGraw-Hill Math Grade 8 Answer Key Lesson 10.7 Scientific Notation

**Exercises**

**CONVERT**

**Write each number using scientific notation.**

Question 1.

.0013

Answer:

1.3 x 10^{-3
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, youÂ move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 0.0013 becomes 1.3 x 10^{-3}.

Question 2.

810.114

Answer:

8.10114 x 10^{2
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 810.114 becomes 8.10114 x 10^{2}.

Question 3.

4.0095

Answer:

4.0095 x 10^{0
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 4.0095 becomes 4.0095 x 10^{0}.

Question 4

.00005

Answer:

5.0 x 10^{-5
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 0.00005 becomes 5.0 x 10^{-5}.

Question 5.

.5851

Answer:

5.851 x 10^{-1
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 0.5851 becomes 5.851 x 10^{-1}.

Question 6.

220.467

Answer:

2.20467 x 10^{2
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 220.467 becomes 2.20467 x 10^{2}.

Question 7.

426.7

Answer:

4.267 x 10^{2
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 426.7 becomes 4.267 x 10^{2}.

Question 8.

11901.55

Answer:

1.190155 x 10^{4
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 11901.55 becomes 1.190155 x 10^{4}.

Question 9.

.0606544

Answer:

6.06544 x 10^{-2
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 0.0606544 becomes 6.06544 x 10^{-2}.

Question 10.

.8852

Answer:

8.852 x 10^{-1
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 0.8852 becomes 8.852 x 10^{-1}.

Question 11.

1488.951

Answer:

1.488951 x 10^{3
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 1488.951 becomes 1.488951 x 10^{3}.

Question 12.

200001.990

Answer:

2.0000199 x 10^{5
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 200001.990 becomes 2.0000199 x 10^{5}.

Question 13.

.0006660

Answer:

6.66 x 10^{-4
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 0.0006660 becomes 6.66 x 10^{-4}.

Question 14.

.002679

Answer:

2.679 x 10^{-3
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 0.002679 becomes 2.679 x 10^{-3}.

Question 15.

1.1110

Answer:

1.111 x 10^{0
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 1.1110 becomes 1.111 x 10^{0}.

Question 16.

3007.5

Answer:

3.0075 x 10^{3
}Explanation:

Scientific notation is a way to make these numbers easier to work with.

In scientific notation, you move the decimal place until you have a number between 1 and 10.

Then you add a power of ten that tells how many places you moved the decimal.

In scientific notation, 3007.5 becomes 3.0075 x 10^{3}.

**Write each number in standard form.**

Question 17.

2.6699 Ã— 10^{5}

Answer:

266,990

Explanation:

To convert a number expressed in scientific notation to a decimal by solving,

but this would get more difficult to do manually as the exponent gets larger.

Thereâ€™s an alternate way to convert to decimal without solving the equation.

If the exponent is positive, move the decimal point in the coefficient to the right one space for each value in the exponent.

2.6699 Ã— 10^{5
}= 266,990 Ã— 10^{0
}= 266,990

Question 18.

1.4455 Ã— 10^{3}

Answer:

1,445.5

Explanation:

To convert a number expressed in scientific notation to a decimal by solving,

but this would get more difficult to do manually as the exponent gets larger.

Thereâ€™s an alternate way to convert to decimal without solving the equation.

If the exponent is positive, move the decimal point in the coefficient to the right one space for each value in the exponent.

1.4455 Ã— 10^{3
}= 1,445.5 Ã— 10^{0
}= 1,445.5

Question 19.

9.6603171 Ã— 10^{6}

Answer:

9,660,317.1

Explanation:

To convert a number expressed in scientific notation to a decimal by solving,

but this would get more difficult to do manually as the exponent gets larger.

Thereâ€™s an alternate way to convert to decimal without solving the equation.

If the exponent is positive, move the decimal point in the coefficient to the right one space for each value in the exponent.

9.6603171 Ã— 10^{6
}= 9,660,317.1 Ã— 10^{0
}= 9,660,317.1

Question 20.

3.0302 Ã— 10^{4}

Answer:

30,302

Explanation:

To convert a number expressed in scientific notation to a decimal by solving,

but this would get more difficult to do manually as the exponent gets larger.

Thereâ€™s an alternate way to convert to decimal without solving the equation.

If the exponent is positive, move the decimal point in the coefficient to the right one space for each value in the exponent.

3.0302 Ã— 10^{4
}= 30,302 Ã— 10^{0
}= 30,302

Question 21.

2.77 Ã— 10^{-3}

Answer:

0.00277

Explanation:

To convert a number expressed in scientific notation to a decimal by solving,

but this would get more difficult to do manually as the exponent gets larger.

Thereâ€™s an alternate way to convert to decimal without solving the equation.

If the exponent is negative, move the decimal point in the coefficient to the left one space for each value in the exponent.

2.77 Ã— 10^{-3
}= 0.00277 Ã— 10^{0
}= 0.00277

Question 22.

3.919181 Ã— 10^{5}

Answer:

391,918.1

To convert a number expressed in scientific notation to a decimal by solving,

but this would get more difficult to do manually as the exponent gets larger.

Thereâ€™s an alternate way to convert to decimal without solving the equation.

If the exponent is positive, move the decimal point in the coefficient to the right one space for each value in the exponent.

3.919181 Ã— 10^{5
}= 391,918.1 Ã— 10^{0
}= 391,918.1

Question 23.

1.588 Ã— 10^{3}

Answer:

1,588

To convert a number expressed in scientific notation to a decimal by solving,

but this would get more difficult to do manually as the exponent gets larger.

Thereâ€™s an alternate way to convert to decimal without solving the equation.

If the exponent is positive, move the decimal point in the coefficient to the right one space for each value in the exponent.

1.588 Ã— 10^{3
}= 1,588 Ã— 10^{0
}= 1,588

Question 24.

1.0801 Ã— 10^{-2}

Answer:

0.010801

To convert a number expressed in scientific notation to a decimal by solving,

but this would get more difficult to do manually as the exponent gets larger.

Thereâ€™s an alternate way to convert to decimal without solving the equation.

If the exponent is negative, move the decimal point in the coefficient to the left one space for each value in the exponent.

1.0801 Ã— 10^{-2
}= 0.010801 Ã— 10^{0
}= 0.010801