What is the decimal form of (\frac{7}{10})?
Answer and explanation
Correct answer: (0.7)
A fraction with denominator 10 represents tenths. The numerator 7 means seven tenths, and seven tenths is written as 0.7 in decimal notation. The zero before the decimal point shows that the value is less than one. Thus the correct choice is C, 0.7. The other choices do not represent seven tenths: 0.07 is seven hundredths, 7.10 is greater than seven, and 70.0 is seventy.
To convert directly, divide the numerator by the denominator: 7 ÷ 10 = 0.7. Equivalently, move the decimal point in 7 one place to the left because division by 10 reduces the value tenfold. Therefore, \(\frac{7}{10}=0.7\). The denominator tells us the place value: 10 gives one digit after the decimal point, so 0.7 is the required representation.
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 7 means seven tenths, and seven tenths is written as 0.7 in decimal notation. The zero before the decimal point shows that the value is less than one. Thus the correct choice is C, 0.7. The other choices do not represent seven tenths: 0.07 is seven hundredths, 7.10 is greater than seven, and 70.0 is seventy.
To convert directly, divide the numerator by the denominator: 7 ÷ 10 = 0.7. Equivalently, move the decimal point in 7 one place to the left because division by 10 reduces the value tenfold. Therefore, \(\frac{7}{10}=0.7\). The denominator tells us the place value: 10 gives one digit after the decimal point, so 0.7 is the required representation.
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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