Example Question - converting decimal
Here are examples of questions we've helped users solve.
Converting Decimal 8.203 to a Fraction
The image shows a math problem asking how to write the decimal 8.203 as a fraction. To convert the decimal 8.203 to a fraction, we look at the place value of the furthest digit to the right, which, in this case, is the thousandths place because of the '3' being in the third position after the decimal point. To write it as a fraction, you place the number without the decimal point over the corresponding place value. Since '203' is in the thousandths place, you would write it over 1000. However, don't forget to include the whole number part of the decimal, which is '8' in this case. So, the fraction would be the whole number 8 plus the fraction 203/1000. Putting it together, you get: 8 + 203/1000 As a mixed number, this is written as: 8 203/1000 This is the fraction form of the decimal 8.203.
Converting Decimal to Scientific Notation
To express the number 0.0736 in scientific notation, you need to rewrite it as a product of a number between 1 and 10 and a power of 10. Move the decimal point so that there is one non-zero digit to the left of the decimal. For the number 0.0736, you move the decimal two places to the right to get 7.36. This is the number between 1 and 10. Now, record the number of places you moved the decimal point as a negative exponent of 10 (because the original number is less than 1). Since you moved the decimal two places, the exponent will be -2. So, the number 0.0736 in scientific notation is: \[7.36 \times 10^{-2}\]
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