Does 5047/3500 have a terminating or non terminating decimal. If yes a

1.	Does 5047/3500 have a terminating or non terminating decimal. If yes after how manyplaces will it terminate?
Answer» ANSWER: Yes, It has a terminating decimal because A rational number will have terminating decimal EXPANSION, if the factors of the denominator is in the form of $<klux>2</klux>^{n}5^{m}$ . The decimal expansion of 5047/3500 will TERMINATE after 3 places.* Step-by-step explanation: 5047/3500, this can be DIVIDED by 7 as there is 7 as a factor in both numbers. 721/500, now the denominator contains the factors, 4 and 125, which can be written in the form $2^{2}5^{3}$ . Now we should make the powers of $2^{2}5^{3}$ equal. To make that we need to multiply 2 to $2^{2}5^{3}$ and to the numerator also. Then it will become $2^{3}5^{3}$ and the numerator will become 7212= 1442 Now, 1442 / $(25)^{3}$ =1442/ $10^{3}$ , now the decimal expansion will terminate after 3 places, because the 10 is raised to the power of 3.

Does 5047/3500 have a terminating or non terminating decimal. If yes after how manyplaces will it terminate?

Answer»

Yes, It has a terminating decimal because A rational number will have terminating decimal EXPANSION, if the factors of the denominator is in the form of $<klux>2</klux>^{n}*5^{m}$ . The decimal expansion of 5047/3500 will TERMINATE after 3 places.

Step-by-step explanation:

5047/3500, this can be DIVIDED by 7 as there is 7 as a factor in both numbers.

721/500, now the denominator contains the factors, 4 and 125, which can be written in the form $2^{2}*5^{3}$ .

Now we should make the powers of $2^{2}*5^{3}$ equal.

To make that we need to multiply 2 to $2^{2}*5^{3}$ and to the numerator also.

Then it will become $2^{3}*5^{3}$ and the numerator will become 721*2= 1442

Now, 1442 / $(2*5)^{3}$ =1442/ $10^{3}$ , now the decimal expansion will terminate after 3 places, because the 10 is raised to the power of 3.

Discussion

No Comment Found

Related InterviewSolutions

1. ਜੇਕਰ ਕੋਈ ਵਕਰ ਰੇਖਾ ਆਪਣੇ ਆਪ ਨੂੰ ਨਾਂ ਕੱਟੇ ਤਾਂ ਉਹਵਕਰ ਹੁੰਦੀIf any curve does not intersect itself then the curve is called
Tanusec²u
Check whether the following equations are consistent or inconsistent. Solve them graphically.a) 3x+2y=5 2x - 3y = 7b) 2x - 3y = 8 4x -6y = 9c) 3/2 x + 5/3 y = 7 9x - 10y=14d) 5x-3y = 11 -10x+6y = -22e) x +2y = 8 2x+3y = 12f) x + y = 5 2x+2y = 10g) x - y = 8 3x-3y = 16h) 2x + y-6 = 0 4x-2y- 4 = 0i) 2x-2y - 2 = 0 4x-4y- 5 = 0
Can a perfect square be a term of the sequence 2,5,8,11... How can you realize this?
U wGENERAL SIMPLIFICATIONS273.A platform is to be built for a machine and the size would be 12 metreslong, 6 metres high and 3 decimetres thickness. How many bricks arerequired, if the size of a brick is 24 x 12 x 5 cm ?[I.T.I. July 1984, Motor Mech. Preliminary]
The map shows the location of the airport in a warehouse in a city. Though not displayed on the map, there is also a factory 88 miles due North of the warehouse. A truck travelled from the warehouse to the airport and then to the factory will is the total number of miles to truck traveled?A. 176 miles B. 198 milesC. 220 milesD. 250 milesPls only serious answers
Find the number of terms in the series 2, 5, 8, ... if the last term is 95.
Find the cube root of the following number A:5832 B:85.184 C:42.875with easy process explanation
One is asked to say a two digit number.a) How many two digit numbers are there ? b) What is the probability of getting a number in which one of the digits is 1 ? c) What is the probability of getting a number in which the product of the digits is a prime number ?
5. A cubical tank with edge 2 m is filled withwater. How many buckets of capacity 10 litrecan be filled from the tank?