Maths-
General
Easy
Question
Arrange the numbers
and
in ascending order
Hint:
Find the least common multiple of denominators and then arrange in ascending
order.
The correct answer is: ascending order
Given rational numbers are
and
.
Express the rational numbers with positive denominator by multiplying with -1.
Here, ![fraction numerator 7 over denominator negative 10 end fraction equals fraction numerator 7 cross times negative 1 over denominator negative 10 cross times negative 1 end fraction equals fraction numerator negative 7 over denominator 10 end fraction](data:image/png;base64,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)
So, Now we have
and
.
By taking LCM of denominators 5,10 and 8, we get LCM as 40
On multiplying
with 8, we get ![fraction numerator negative 3 cross times 8 over denominator 5 cross times 8 end fraction equals fraction numerator negative 24 over denominator 40 end fraction](data:image/png;base64,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)
On multiplying
with 4, we get ![fraction numerator negative 7 cross times 4 over denominator 10 cross times 4 end fraction equals fraction numerator negative 28 over denominator 40 end fraction](data:image/png;base64,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)
On multiplying
with 5, we get ![fraction numerator negative 5 cross times 5 over denominator 8 cross times 5 end fraction equals fraction numerator negative 25 over denominator 40 end fraction](data:image/png;base64,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)
On comparing the above fractions with same denominator,
we have -28 < -25 < -24
Hence ![fraction numerator negative 28 over denominator 40 end fraction less than fraction numerator negative 25 over denominator 40 end fraction less than fraction numerator negative 24 over denominator 40 end fraction equals fraction numerator 7 over denominator negative 10 end fraction less than fraction numerator negative 5 over denominator 8 end fraction less than fraction numerator negative 3 over denominator 5 end fraction](data:image/png;base64,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)
So ascending order is
.
Related Questions to study
General
Which of the following structures represent propanoic acid?
Which of the following structures represent propanoic acid?
GeneralGeneral
Maths-
Which of the numbers
and
is greater
Which of the numbers
and
is greater
Maths-General
Maths-
Express
in standard form
Express
in standard form
Maths-General
Maths-
Express
in standard form
Express
in standard form
Maths-General
Maths-
Without doing any actual division, find which of the following is a terminating decimal or not:![6 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:![6 over 125](data:image/png;base64,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)
Maths-General
Maths-
Without doing any actual division, find which of the following is a terminating decimal or not:![7 over 8](data:image/png;base64,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)
Without doing any actual division, find which of the following is a terminating decimal or not:![7 over 8](data:image/png;base64,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)
Maths-General
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
Maths-
If
Find the values of a and b
If
Find the values of a and b
Maths-General
Maths-
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,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)
Maths-General
Maths-
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,iVBORw0KGgoAAAANSUhEUgAAAKsAAAAuCAYAAABXlelyAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAbSkFbcgAAA1JJREFUeNrtnD9oFEEYxT9EROQKRcFGMEiQICKCBhQVSSNBLCQkoKQQQUSsxMpCwc5SwVLBQrAQ/xWidhJERBvFShRJaRFQSKFHUM837Fccx+25M7c7/+49eCTZ2zvmfnm3O3N3+0TyUAvuDGGK3L3pBPyS2SH3FPQcPkMM5B67NsE/9CdF7qXaDl+BPwQcwzn4cZ/tB+AH8DK8omOczyQo5O6gu/DZwJNlM2ea7bN9AT6piwCjHfBr3Za6yH0IdTzdp1dj8BK8tuL+W+GPGZ2KQ4U1ae6hwnoJvmV5nzbDOtrcQ4X1PTxtsf9+PSUxrCPMvemwtvps2wl/g1dXfAxzynqrCwCGdYS5dyruY/uJxjh8R2872HPbNfh6xfFtgJ/ARyQvkXtER9bLCs28n/eu57ZFeG+Fx9imwMYlPzV1ZM2ae9PTgPPwX3iz/r0P/lLhVDShC4F1kqeangZkyd3HAusnfE9/vwlf/c/+BvB9i7kVwzoi3H2E9Tb8SyEs6at3kJ5W2IdhHSHuPr/2tR7+Az+E3wy5sMghpOQeuV7pk74gFLlHrkmFtoWnZ3JPQbOcS5I7xbBSDCvlY4VJV1vNNn1fcqd4ZKUohpViWCmKYaUoKg6lVB2TU80NuTsopeqYnGpuyN1BKVXH5FRzQ+6WSqk6Jqd6IXJ3UFl1TIzzvrKxTsHPpPgmvLmm/TN8A94YcQDI3UFl1TExvmVTNlazfQZe07VtN/wi4rCSu6XGpLw6pk5oIeqFjJYjDaov7pIT90HVMbGF1bbmxlw+/CnSsPriLjlxH1QdE1tYq9bcmCsyT+v86WikYfXFXVLk7lIdY6Ct6CHdTKIvljxO3WF1rbnpXYzEcI1RaO6SEvc6qmPMQPdIUXhrDu8TFcMZsubmuBSdTIcDhZTcHVRHdUy3TM/RQkNH1rrH2lJwIRQLd0mRu2t1TD+1GwprLGOtUyk9l6jGalsdIyVzmK8eFlh1jHWXTvZDKyR3SZW7bXXMIymKY1eppxXYjIew2o7VnCLndH8z1ik9hZ2KIKwhuUuq3G2rY+b0FfIb/i5FQdekp3+w7VgPSdHL1FabT1aORfLWD7k7KqXqmJxqbsjdQSlVx+RUc0PujkqpOianmhty79I/EVWflgr8fyoAAAF7dEVYdE1hdGhNTAA8bWF0aCB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMTk5OC9NYXRoL01hdGhNTCI+PG1mcmFjPjxtcm93Pjxtbj4xPC9tbj48bW8+KzwvbW8+PG1zcXJ0Pjxtbj4yPC9tbj48L21zcXJ0PjwvbXJvdz48bXJvdz48bXNxcnQ+PG1uPjU8L21uPjwvbXNxcnQ+PG1vPis8L21vPjxtc3FydD48bW4+MzwvbW4+PC9tc3FydD48L21yb3c+PC9tZnJhYz48bW8+KzwvbW8+PG1mcmFjPjxtcm93Pjxtbj4xPC9tbj48bW8+JiN4MjIxMjs8L21vPjxtc3FydD48bW4+MjwvbW4+PC9tc3FydD48L21yb3c+PG1yb3c+PG1zcXJ0Pjxtbj41PC9tbj48L21zcXJ0Pjxtbz4mI3gyMjEyOzwvbW8+PG1zcXJ0Pjxtbj4zPC9tbj48L21zcXJ0PjwvbXJvdz48L21mcmFjPjwvbWF0aD4A2r8PAAAAAElFTkSuQmCC)
Maths-General
Maths-
Nina, Shanti and Belle run a 1000 m race at a constant speed. When Nina crossed the finish line first, she was 200 m ahead of Shanti and 400 m ahead of Belle. When Shanti crossed the finish line, how far ahead of Belle was she?
Nina, Shanti and Belle run a 1000 m race at a constant speed. When Nina crossed the finish line first, she was 200 m ahead of Shanti and 400 m ahead of Belle. When Shanti crossed the finish line, how far ahead of Belle was she?
Maths-General
Maths-
The wheels on Charlie’s bike have a circumference of 1.5 m. When Charlie is riding fastest, the wheels rotate at a speed of five turns per second. a) What is the fastest speed Charlie can ride his bike, in km/h? b) How far would Charlie travel in 5 minutes at his fastest speed?
The wheels on Charlie’s bike have a circumference of 1.5 m. When Charlie is riding fastest, the wheels rotate at a speed of five turns per second. a) What is the fastest speed Charlie can ride his bike, in km/h? b) How far would Charlie travel in 5 minutes at his fastest speed?
Maths-General
Maths-
Walter and William have a height ratio of 7:8. If William has a height of 152 cm, how tall is Walter?
Walter and William have a height ratio of 7:8. If William has a height of 152 cm, how tall is Walter?
Maths-General
Maths-
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