Maths-
General
Easy
Question
Without doing any actual division, find which of the following is a terminating decimal or not:![7 over 8](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABIAAAAjCAYAAACZ6FpfAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAOpJREFUeNpjYMAO/hPAFINQIJ5NqSHiQHwYiDkoNWgTEBtQakgGENdSaog8EJ8EYhZKDToIxI7UiKVtlBrCBMQ3qBHAAVBvUQyWA3EiNQx6CcSCDKNgcIP/ZOJRMJgAFxBPAuIvQPwDiHcAsTQ5Bs0F4lZoEcsGxB3QIpdk8ANLQfeLHINAXuJBM+gxOQaBwicPiW8JxD3kGKQH9covaJH7HIhtyanLlgKxJDSgQcAYiO9CLSAarMOhAVS/7ackxoiVwwDXgFgFi7gWNKyIBkFQwxyh0c4EZd+FNihIrq7PQWPtBzTmAnApBgCVrj8oFydGbwAAAGJ0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWZyYWM+PG1uPjc8L21uPjxtbj44PC9tbj48L21mcmFjPjwvbWF0aD7TWNlAAAAAAElFTkSuQmCC)
Hint:
Hint:
Numbers with a fixed or finite number of digits following the decimal point are known as terminating decimals and numbers with infinite decimal places are known as non-terminating decimals.
The correct answer is: Terminating decimal expansion.
Let x = p/q be a rational number such that the prime factorisation of q is in form 2m5n, where m and n are non-negative integers, then x will have a terminating decimal expansion.
![x equals 7 over 8](data:image/png;base64,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)
In the given rational number, the value of q is 8. The factorisation of 8 is given as
![8 equals 2 cubed equals 2 to the power of m 5 to the power of n](data:image/png;base64,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)
Final Answer:
As the factorisation of 8 is not in the form of 2m5n,
will have terminating decimal expansion.
Related Questions to study
Maths-
Without doing any actual division, find which of the following is a terminating decimal or not:![123 over 125](data:image/png;base64,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)
Without doing any actual division, find which of the following is a terminating decimal or not:![123 over 125](data:image/png;base64,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)
Maths-General
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If
Find the values of a and b
If
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Maths-General
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Rationalize the denominator:![fraction numerator 1 over denominator square root of 3 plus square root of 2 minus 1 end fraction](data:image/png;base64,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)
Rationalize the denominator:![fraction numerator 1 over denominator square root of 3 plus square root of 2 minus 1 end fraction](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGgAAAAqCAYAAABfjB7GAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAXQ/cXWQAAAhVJREFUeNrtmkEoBFEcxidJ0h6IclEkSZIcKEJykeQgUeQgJcnJ0YFyc6QcKQflIOIg3CRJXMhJHBwd9qD2gBTre/mrbbPMm52Z94bvV79Wb9/ufG//4817u+M4f4dqOAevHGIl63ACJvlR2A0LxAIRFogFIiwQYYFYIMICsUDEmsKkSwghhBDyP1dB1JyEEEIIIcEQi9AqJUpZfWMIHjGrvRzAcWa1kxL4KI/MaiGTcOeb9k64D5/gC7yFS7DYwqytcAsm4KvzecvwSEiZAr9NWc3nAxna+2FeSlsDPDRYoExZj+GwLCAUtfBU2oIm0NuUK2Ac5mu8JuHhOEkDWcvhdYgnTyAFmoErGv0r4Y2h8LpZHZmaI12gS9jtol8pHJPrUI+h8G6zftEi01wkChT7pq0OPsDcXw6a6nQI4b1mTUVNg+eyeLC6QFVwTV7clvbcAlx0+T5FsE8G3eEyrO6O3s+su7BL44P149sHTwWalUGrvcNF2nP3sNHDf+J5QGeXH1krpThVBlaYWU1xU/BdriWKZninMWVke+FNhpC1RhYRBYa2AFlfZ9WGc0P+XobzHt6jXhYKQYfXzaqKuenxhLOmQKvwWQYRlzPuJ9Tmb1D658g3C2qqGQ0hvG7WPRd9rC9QIXyD2/DMRf92GfiLqHbxvSENVjeryZ8XfD3mSZbL5TCJUlbfaJJBlzGrvQwwqxk+AP78K2sOJQazAAAAvHRFWHRNYXRoTUwAPG1hdGggeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzE5OTgvTWF0aC9NYXRoTUwiPjxtZnJhYz48bW4+MTwvbW4+PG1yb3c+PG1zcXJ0Pjxtbj4zPC9tbj48L21zcXJ0Pjxtbz4rPC9tbz48bXNxcnQ+PG1uPjI8L21uPjwvbXNxcnQ+PG1vPiYjeDIyMTI7PC9tbz48bW4+MTwvbW4+PC9tcm93PjwvbWZyYWM+PC9tYXRoPilWirgAAAAASUVORK5CYII=)
Maths-General
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Simplify ![fraction numerator 1 plus square root of 2 over denominator square root of 5 plus square root of 3 end fraction plus fraction numerator 1 minus square root of 2 over denominator square root of 5 minus square root of 3 end fraction](data:image/png;base64,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)
Simplify ![fraction numerator 1 plus square root of 2 over denominator square root of 5 plus square root of 3 end fraction plus fraction numerator 1 minus square root of 2 over denominator square root of 5 minus square root of 3 end fraction](data:image/png;base64,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)
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A saltwater swimming pool requires 2 kg of salt to be added for every 10000 litres of water. Joan’s swimming pool is 1.5 metres deep, 5 metres wide and 15 metres long. How much salt will she need to add to her pool?
A saltwater swimming pool requires 2 kg of salt to be added for every 10000 litres of water. Joan’s swimming pool is 1.5 metres deep, 5 metres wide and 15 metres long. How much salt will she need to add to her pool?
Maths-General
Maths-
The Bionic Woman gives Batman a 12 second start in a 2 kilometre race. If the Bionic Woman runs at 5 km/min, and Batman runs at 3 km/min, who will win the race and by how many seconds
The Bionic Woman gives Batman a 12 second start in a 2 kilometre race. If the Bionic Woman runs at 5 km/min, and Batman runs at 3 km/min, who will win the race and by how many seconds
Maths-General
Maths-
At a school camp there is enough food for 150 students for 5 days. a) How long would the food last if there were only 100 students? b) If the food ran out after only 4 days, how many students attended the camp?
At a school camp there is enough food for 150 students for 5 days. a) How long would the food last if there were only 100 students? b) If the food ran out after only 4 days, how many students attended the camp?
Maths-General
Maths-
Michelle can complete a landscaping job in 6 days and Danielle can complete the same job in 4 days. Working together, in how many days could they complete the job?
Michelle can complete a landscaping job in 6 days and Danielle can complete the same job in 4 days. Working together, in how many days could they complete the job?
Maths-General
Maths-
The required staff to student ratio for an excursion is 2 : 15. If 10 teachers attend the excursion, what is the maximum number of students who can attend?
The required staff to student ratio for an excursion is 2 : 15. If 10 teachers attend the excursion, what is the maximum number of students who can attend?
Maths-General
Maths-
Julie and Jeanette enjoy finishing their 6 km morning run together. Julie runs at an average speed of 10 km/h and Jeanette runs at an average speed of 3 m/s. If Julie leaves at 8 a.m., at what time should Jeanette leave if they are to finish their run at the same time?
Julie and Jeanette enjoy finishing their 6 km morning run together. Julie runs at an average speed of 10 km/h and Jeanette runs at an average speed of 3 m/s. If Julie leaves at 8 a.m., at what time should Jeanette leave if they are to finish their run at the same time?
Maths-General
Maths-
Find the values of a and b : ![fraction numerator 5 plus 3 square root of 2 over denominator 5 minus 3 square root of 2 end fraction equals a plus b square root of 2](data:image/png;base64,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)
Find the values of a and b : ![fraction numerator 5 plus 3 square root of 2 over denominator 5 minus 3 square root of 2 end fraction equals a plus b square root of 2](data:image/png;base64,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)
Maths-General
Maths-
if
. Then, find the values of a and b.
if
. Then, find the values of a and b.
Maths-General