0.0345 in Standard Form
What is Standard Form?
Standard form, also known as scientific notation, is a way of writing very large or very small numbers in a more compact and readable form. It is commonly used in mathematics and science to simplify calculations and to make it easier to compare the sizes of different quantities.
The Definition of Standard Form
A number is said to be in standard form if it is written in the form:
a × 10^b
where:
- a is a number between 1 and 10 (including 1 but excluding 10)
- b is an integer (a whole number)
Converting 0.0345 to Standard Form
To convert the number 0.0345 to standard form, we need to move the decimal point to the right until the number is between 1 and 10.
Step-by-Step Conversion
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Start with the original number: 0.0345
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Move the decimal point to the right until the number is between 1 and 10:
0.0345 → 0.345 → 3.45
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Count the number of places the decimal point was moved:
3 places
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Write the number in standard form:
3.45 × 10^(-2)
Therefore, the number 0.0345 in standard form is 3.45 × 10^(-2).
