What is 0.1 as a fraction? | Thinkster Math (2024)
Step 1:
The first step to converting 0.1 to a fraction is to re-write 0.1 in the form p/q where p and q both are positive integers. To start with, 0.1 can be written as simply 0.1/1 to technically be written as a fraction.
Next, we will count the number of fractional digits after the decimal point in 0.1, which in this case is 1. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 0.1/1 each by 10 to the power of that many digits. For instance, for 0.45, there are 2 fractional digits so we would multiply by 100; or for 0.324, since there are 3 fractional digits, we would multiply by 1000. So, in this case, we will multiply the numerator and denominator of 0.1/1 each by 10:
Let's explore various ways to represent the number 1 as a fraction, like 1/1, 2/2, and 3/3. We see how dividing a whole into equal parts and shading them in can represent 1 whole. We also use a number line to visualize these fractions, emphasizing that they all represent the same value: 1 whole.
The number 0.1 can be represented in binary as 0.00011001100110011... . The pattern of 0011 repeats infinitely. We can't store the binary equivalent of decimal 0.1 . As we know, 0.1 is equal to 1/10 .
1/10, when converted to decimals, will be equal to 0.1 which is when rounded off to the nearest whole number will be equal to 0 because the value after the decimal is less than 5, so it will be rounded down to the nearest whole number. Explanation: The whole numbers are numbers that start from zero.
To convert decimal form to fraction, firstly count the number of digits after the decimal point. Since there is one digit after the decimal point, remove the decimal point and divide the number 1 by 10. Thus, 0.1 = 1/10.
0.1 is read as "one tenth" and 0.01 is read as "one hundredth". The bigger the denominator of the fraction, the smaller the value of the fraction. So, 0.1 is bigger than 0.01 because it is closer to the whole number 1 than 0.01 which is closer to 0.
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