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X is a decimal which has three decimal places. If the decimal is converted fractional form, what will be the denominator for the resulting fraction?
- a)10
- b)100
- c)1000
- d)10000
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
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X is a decimal which has three decimal places. If the decimal is conve...
The correct answer is option 'C'. When a decimal number is converted to a fractional form, the denominator represents the number of parts the whole number is divided into. In this case, the decimal number has three decimal places, which means that it is divided into 1000 parts. Each decimal place represents a power of 10: the first place is 10^0, the second is 10^1, and the third is 10^2. Therefore, the denominator of the fraction is 1000.
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X is a decimal which has three decimal places. If the decimal is conve...
To convert a decimal to a fraction, we need to understand the place value of the decimal. In this case, the decimal has three decimal places, which means it is written to the thousandth place.
To convert the decimal to a fraction, we can use the place value system. We know that the decimal point separates the whole number part from the fractional part. The fractional part can be expressed as the numerator of the fraction, while the denominator depends on the place value of the decimal.
Let's consider the decimal X = 0.abc, where a, b, and c represent the digits after the decimal point.
To convert X to a fraction:
- The digit 'a' is in the tenths place, so it should be divided by 10.
- The digit 'b' is in the hundredths place, so it should be divided by 100.
- The digit 'c' is in the thousandths place, so it should be divided by 1000.
In this case, since there are three decimal places, the denominator of the resulting fraction will be 1000.
Therefore, the correct answer is option C) 1000.
To convert the decimal to a fraction, we can use the place value system. We know that the decimal point separates the whole number part from the fractional part. The fractional part can be expressed as the numerator of the fraction, while the denominator depends on the place value of the decimal.
Let's consider the decimal X = 0.abc, where a, b, and c represent the digits after the decimal point.
To convert X to a fraction:
- The digit 'a' is in the tenths place, so it should be divided by 10.
- The digit 'b' is in the hundredths place, so it should be divided by 100.
- The digit 'c' is in the thousandths place, so it should be divided by 1000.
In this case, since there are three decimal places, the denominator of the resulting fraction will be 1000.
Therefore, the correct answer is option C) 1000.
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X is a decimal which has three decimal places. If the decimal is converted fractional form, what will be the denominator for the resulting fraction?a)10b)100c)1000d)10000e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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