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Online Quiz (Worksheet A B C D)

Questions Per Quiz = 2 4 6 8 10

Grade 7 - Mathematics
1.27 Addition and Subtraction of Two Numbers in Scientific Notation

Addition and Subtraction of Two Numbers in Scientific Notation:

To add or subtract two numbers in scientific notation, they must both have the same exponent. So you may have to re-write one of the numbers to have the same exponent as the other.

Example 1:
1.0 x 103 + 6 x 102
Solution:
Rewrite 6 x 102 so that the exponent is 3.
1.0 x 103 + 6 x 102
= 1.0 x 103 + 0.6 x 103
= 1.6 x 103

We can check this by converting the numbers first to the more familiar form.
1.0 x 103 =1000
6 x 102=600
1.0 x 103 + 6 x 102=1000 + 600 = 1600
Converting 1600 to scientific form= 1.6 x 103

Example 2:
1.0 x 103 + 6 x 102
Solution:
Rewrite 6 x 102 so that the exponent is 3.
1.0 x 103 - 6 x 102
= 1.0 x 103 - 0.6 x 103
= 0.4 x 103


Directions: Solve the following problems. Also write atleast 5 examples of your own.
Q 1: 2.0 x 102 + 3.0 x 103
3.2 x 104
3.2 x 103
3.2 x 102

Q 2: 1.2 x 103 + 3.3 x 103
4.5 x 106
4.5 x 103
4.5 x 102

Q 3: 3.3 x 103 - 1.1 x 103
2.2 x 103
2.2 x 102
4.4 x 104

Q 4: 1.2 x 103 + 3 x 102
1.5 x 103
1.5 x 102
1.5 x 105

Q 5: 9.8 x 109 - 5.2 x 109
4.6 x 108
6.4 x 109
4.6 x 109

Q 6: 3.2 x 105 + 5.1 x 104
3.71 x 104
3.71 x 105
3.71 x 106

Q 7: 1.1 x 103 + 3.3 x 103
1.1 x 104
4.4 x 104
4.4 x 103

Q 8: 2.0 x 107 - 6.3 x 105
19.37 x 107
1.937 x 107
1.937 x 105

Question 9: This question is available to subscribers only!

Question 10: This question is available to subscribers only!


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