Multiplying Powers of 10
Evaluate: 104 x 105
109
Evaluate: (104)7
1028
Evaluate: 1011/104
107
Evaluate and write as a fraction: 10-3
1/(103)
What is the rule when multiplying powers of 10 by one another?
Add the exponents together
A scientific instrument records 102 readings of 108 each. Write the product as a single power of 10.
1010
Evaluate: (1033)26
10858
A scientist has 108 cells and divides them equally into 103 groups. How many cells per group? Express as a power of 10.
105
Evaluate and write as a fraction: 10-45
1/(1045)
What is the rule when dividing powers of 10?
Subtract the exponents
Fill in the blank:
1088 x 10? = 1088
100
Evaluate: (105 x 103)2
1016
Evaluate: 1012/10-3
1015
Write 1/(1059) in the form 10?.
10-59
Evaluate: ((102)3)/105
10
Evaluate: 106 x 10-3
103
Evaluate and write in the form of a fraction: (10-8)9
1/1072
10?/10? = 105
Answers vary.
Example: 1025/1020 = 105
A measurement is 10-86 meters. Convert this to a fraction and explain what the negative exponent indicates about the size of the measurement compared to 1 meter.
1/(1086)
This measurement is much smaller than 1 meter.
Which is greater: 1024 or 10-54?
1024 is greater because 10-54 is a fraction that is less than 1. 1024 is much greater than 1.
Fill in the blank:
10? x 10? = 100
Answers vary.
Example: 105 x 10-5 = 100
Fill in the blank.
(10?)? = 1070
Answers vary.
Example: (102)35 = 1070
Evaluate: (104 x 104)/108
1
Fill in the blank:
10?/10? = 109
At least one of the blanks needs to be a negative exponent.
Answers vary.
Example: 107/10-2 = 109
Evaluate: (104 x 10-2)/(106 x 1010)
10-14
or
1/(1014)