Write 35,710 in scientific notation.
Understand the Problem
The question is asking for the number 35,710 to be expressed in scientific notation. To convert to scientific notation, we shift the decimal point and express the number as a product of a number between 1 and 10 and a power of 10.
Answer
$3.5710 \times 10^{4}$
Answer for screen readers
The scientific notation for 35,710 is $3.5710 \times 10^{4}$.
Steps to Solve
- Identify the position of the decimal point
The number 35,710 can be written as 35,710.0. The decimal point is at the end of the number.
- Shift the decimal point to the left
To convert to scientific notation, we need to move the decimal point left until we have a number between 1 and 10.
Shifting the decimal point 4 places to the left gives us:
$$ 3.5710 $$
- Count the number of shifts
We moved the decimal point 4 places, which means our exponent will be 4.
- Combine the results to form scientific notation
Now, we express 35,710 in scientific notation as:
$$ 3.5710 \times 10^{4} $$
The scientific notation for 35,710 is $3.5710 \times 10^{4}$.
More Information
Scientific notation is useful for representing very large or very small numbers in a compact form. In this case, it helps to express 35,710 in a way that is easier to read and manipulate, especially in scientific contexts.
Tips
- Forgetting to move the decimal point the correct number of places.
- Not ensuring the first factor is between 1 and 10.
- Misplacing the exponent; it should be positive when moving to the left.
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