Which is the decimal form of 7/40?
Answer and explanation
Correct answer: 0.175
The governing concept is conversion of a rational number into decimal notation. Since the denominator is 40, multiply numerator and denominator by 25 to create a denominator of 1000: 7/40 = (7 × 25)/(40 × 25) = 175/1000. A fraction with denominator 1000 represents 175 thousandths, which is 0.175. Therefore option A is correct. Long division gives the same result: 7 divided by 40 equals 0.175. The value 0.740 incorrectly treats 7 and 40 as if they formed a decimal, while 0.075 would represent 3/40, not 7/40. The value 1.75 is greater than 1, whereas 7/40 is less than 1 because the numerator is smaller than the denominator. The denominator's factors are only 2 and 5, so the decimal terminates rather than repeating.
Frequently asked questions
What is the correct answer to this question?
0.175
Why is this the correct answer?
The governing concept is conversion of a rational number into decimal notation. Since the denominator is 40, multiply numerator and denominator by 25 to create a denominator of 1000: 7/40 = (7 × 25)/(40 × 25) = 175/1000. A fraction with denominator 1000 represents 175 thousandths, which is 0.175. Therefore option A is correct. Long division gives the same result: 7 divided by 40 equals 0.175. The value 0.740 incorrectly treats 7 and 40 as if they formed a decimal, while 0.075 would represent 3/40, not 7/40. The value 1.75 is greater than 1, whereas 7/40 is less than 1 because the numerator is smaller than the denominator. The denominator's factors are only 2 and 5, so the decimal terminates rather than repeating.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Number Systems. Topic: Decimal representation.
Student feedback
Was this question useful?
👍 0 Helpful 👎 0 Not helpful
Yes 0% No 0%
0 responsesStudent Reviews
No published reviews yet.
