
How do you write $32,000,000$ in scientific notation ?
Answer
512.7k+ views
Hint: Scientific notation is a way of representing the numbers that are either too small or too large that if written normally will result in a long thread of numbers. Scientific notation enables us to write such numbers conveniently using the decimal form and the powers of ten.
Complete step-by-step answer:
So, in the given question, we are required to write a number provided to us in the question itself in scientific notation.
So, the number given to us in the problem is $32,000,000$. We have to write this number in scientific notation.
Therefore, we have, $32,000,000$
In scientific notation, the decimal point is placed after the first significant digit and the rest is managed by multiplying suitable order or powers of ten so that the original number remains unchanged.
Now, we know that the first digit $3$ in the number $32,000,000$ is a significant digit. So, we get,
So, we get, $3.2 \times 10000000$
So, we can write $10000000$ as ${10^7}$ while representing in powers of ten. So, we get,
$ \Rightarrow 3.2 \times {10^7}$
Therefore, $32,000,000$ can be written and represented as $3.2 \times {10^7}$ in scientific notation.
So, the correct answer is “$3.2 \times {10^7}$”.
Note: One should know the definition and purpose of representing numbers in scientific notations. Algebraic and simplification rules must be understood to solve such questions. Care should be taken while handling the calculative steps and simplification tasks.
Complete step-by-step answer:
So, in the given question, we are required to write a number provided to us in the question itself in scientific notation.
So, the number given to us in the problem is $32,000,000$. We have to write this number in scientific notation.
Therefore, we have, $32,000,000$
In scientific notation, the decimal point is placed after the first significant digit and the rest is managed by multiplying suitable order or powers of ten so that the original number remains unchanged.
Now, we know that the first digit $3$ in the number $32,000,000$ is a significant digit. So, we get,
So, we get, $3.2 \times 10000000$
So, we can write $10000000$ as ${10^7}$ while representing in powers of ten. So, we get,
$ \Rightarrow 3.2 \times {10^7}$
Therefore, $32,000,000$ can be written and represented as $3.2 \times {10^7}$ in scientific notation.
So, the correct answer is “$3.2 \times {10^7}$”.
Note: One should know the definition and purpose of representing numbers in scientific notations. Algebraic and simplification rules must be understood to solve such questions. Care should be taken while handling the calculative steps and simplification tasks.
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