What will be the decimal expansion of ( \frac{7}{10} )?
Answer and explanation
Correct answer: (0.7)
A fraction with denominator 10 represents tenths. The numerator tells us how many tenths there are, so 7/10 means seven tenths. In decimal notation, tenths are written in the first place to the right of the decimal point. Therefore the fraction can be converted by dividing 7 by 10 or by shifting the decimal point in 7 one place to the left.
The calculation is \\(\frac{7}{10}=0.7\\). Writing 0.70 gives the same numerical value, but among the listed answers the direct decimal form 0.7 is choice D. The value 0.07 represents seven hundredths, or 7/100, not seven tenths. Similarly, 7.10 is greater than 7 and cannot represent this fraction. Thus choice D follows.
Frequently asked questions
What is the correct answer to this question?
(0.7)
Why is this the correct answer?
A fraction with denominator 10 represents tenths. The numerator tells us how many tenths there are, so 7/10 means seven tenths. In decimal notation, tenths are written in the first place to the right of the decimal point. Therefore the fraction can be converted by dividing 7 by 10 or by shifting the decimal point in 7 one place to the left.
The calculation is \\(\frac{7}{10}=0.7\\). Writing 0.70 gives the same numerical value, but among the listed answers the direct decimal form 0.7 is choice D. The value 0.07 represents seven hundredths, or 7/100, not seven tenths. Similarly, 7.10 is greater than 7 and cannot represent this fraction. Thus choice D follows.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.
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