Question

How do you rewrite $10,000,000$ as a power of ten?

Answer 1

Hint: According to the given question, a power of $10$ is any of the integer powers of the number ten; in other words, the multiplied by itself a certain number of times (when the power is a positive integer). By definition, the number one power is ten. The first few non-negative powers of ten are: $1;10;100;1,000;10,000;100,000;1,000,000;10,000,000....$

Complete step-by-step solution:
We have, $10,000,000$
First, count the number of digits following the first digit:
$ \Rightarrow Number of digits = 7$
The way to express any large number in scientific notation is to multiply the first digit by $10$raised to the power of the number of digits after the first one.
So $10,000,000$would be expressed as $1 \times {10^7}$, or simply ${10^7}$

Additional Information:
Power of $10$, in mathematics, any of the whole-valued (integer) exponents of the number $10$.
A power of $10$ is as many numbers $10s$ as indicated by the exponent multiplied together. Thus, shown in long form, a power of $10$ is the number $1$ followed by $n$ zeros, where $n$ is the exponent and is greater than $0$; for example, ${10^6}$ is written $1,000,000$.
When $n$ is less than zero, the power of $10$is the number $1n$places after the decimal point; for example, ${10^{ - 2}}$ is written $0.01$.

Note: The above question and other such questions can be solved in the simplistic way as mentioned above. According to the given question, a power of $10$is any of the integer powers of the number ten; in other words, the multiplied by itself a certain number of times (when the power is a positive integer).