Concept explainers
Write the following numbers as powers of 10:
- 0.000001
- 10,000,000
- the number whose decimal representation is a 1 followed by 50 zeros
- the number whose decimal representation is a decimal point followed by 10 zeros, followed by a 1
- the number whose decimal representation is a decimal point followed by 50 zeros, followed by a 1
a.
To write:
The given numbers as a power of 10.
Answer to Problem 1P
Explanation of Solution
Given:
A number:
Calculation:
First of all, we will write
Now, we will write
Using property
Therefore,
b.
To write:
The given numbers as a power of 10.
Answer to Problem 1P
Explanation of Solution
Given:
A number:
Calculation:
We can see that there are 7 zeros after 1, this means that 10 is multiplied to itself by 7 times.
We can write
Therefore,
c.
To write:
The given numbers as a power of 10.
Answer to Problem 1P
1 followed by 50 zeros as a power of 10 would be
Explanation of Solution
Given:
A number, whose decimal representation is a 1 followed by 50 zeros.
Calculation:
1 followed by 50 zerosmeans that 1 followed by 50 zeros that is 10 multiplied to itself by 50 times.
We can write 1 followed by 50 zeros as a power of 10 by raising 10 to 50th power as:
Therefore,1 followed by 50 zerosas a power of 10 would be
d.
To write:
The given numbers as a power of 10.
Answer to Problem 1P
A decimal point followed by 10 zeros, followed by a1 as a power of 10 would be
Explanation of Solution
Given:
A number, whose decimal representation is a decimal point followed by 10 zeros, followed by a1.
Calculation:
A decimal point followed by 10 zeros, followed by a 1 would be
We will write
Using property
Therefore,
d.
To write:
The given numbers as a power of 10.
Answer to Problem 1P
A decimal point followed by 50 zeros, followed by a 1as a power of 10 would be
Explanation of Solution
Given:
A number, whose decimal representation is a decimal point followed by 50 zeros, followed by a 1.
Calculation:
A decimal point followed by 150 zeros, followed by a 1 would be
To write
Therefore,
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