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.

Exercises

CONVERT

Write each number using scientific notation.

Question 1.
.0013
1.3 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, 0.0013 becomes 1.3 x 10-3.

Question 2.
810.114
8.10114 x 102
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 102.

Question 3.
4.0095
4.0095 x 100
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 100.

Question 4
.00005
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
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
2.20467 x 102
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 102.

Question 7.
426.7
4.267 x 102
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 102.

Question 8.
11901.55
1.190155 x 104
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 104.

Question 9.
.0606544
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
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
1.488951 x 103
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 103.

Question 12.
200001.990
2.0000199 x 105
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 105.

Question 13.
.0006660
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
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
1.111 x 100
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 100.

Question 16.
3007.5
3.0075 x 103
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 103.
Write each number in standard form.

Question 17.
2.6699 × 105
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.
There’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 × 105
= 266,990 × 100
= 266,990
Question 18.
1.4455 × 103
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.
There’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 × 103
= 1,445.5 × 100
= 1,445.5
Question 19.
9.6603171 × 106
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.
There’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 × 106
= 9,660,317.1 × 100
= 9,660,317.1
Question 20.
3.0302 × 104
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.
There’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 × 104
= 30,302 × 100
= 30,302
Question 21.
2.77 × 10-3
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.
There’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 × 10-3
= 0.00277 × 100
= 0.00277
Question 22.
3.919181 × 105
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.
There’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 × 105
= 391,918.1 × 100
= 391,918.1
Question 23.
1.588 × 103
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.
There’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 × 103
= 1,588 × 100
= 1,588

Question 24.
1.0801 × 10-2