Maths-
General
Easy
Question
Approximate the following irrational numbers to the nearest whole number.![square root of 18](data:image/png;base64,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)
The correct answer is: 4
Let’s say x = ![square root of 18](data:image/png;base64,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)
Let’s factorise the number inside the square root i.e 18
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell 18 equals 2 cross times 3 cross times 3 end cell row cell 18 equals 2 cross times 3 squared end cell end table](data:image/png;base64,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)
Put the factorised in the square root
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x equals square root of 2 cross times 3 squared end root end cell row cell x equals 3 square root of 2 end cell end table](data:image/png;base64,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)
is an irrational number and its approximate value is 1.41421…
![table attributes columnalign right left right left right left right left right left right left columnspacing 0em 2em 0em 2em 0em 2em 0em 2em 0em 2em 0em end attributes row cell x equals 3 cross times 1.41421 horizontal ellipsis end cell row cell x equals 4.24264 horizontal ellipsis end cell end table](data:image/png;base64,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)
As the digit after the decimal point is 2 which is less than 5. So, the nearest whole number will be 4.
Final Answer:
Hence, the nearest whole number of
is 4.
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Maths-General
Maths-
Approximate the following irrational numbers to the nearest whole number.![square root of 28](data:image/png;base64,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)
Approximate the following irrational numbers to the nearest whole number.![square root of 28](data:image/png;base64,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)
Maths-General
Maths-
A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?
A certain number of men can finish a piece of work in 100 days. If there were 10 men less, it would take 10 days more for the work to be finished. How many men were there originally?
Maths-General
Maths-
A flagstaff 17.5 m high casts a shadow of length 40.25 m. What is the height of the building which casts a shadow of length 28.75 m under similar conditions?
A flagstaff 17.5 m high casts a shadow of length 40.25 m. What is the height of the building which casts a shadow of length 28.75 m under similar conditions?
Maths-General
Maths-
If 11.25 m of a uniform iron rod weighs 42.75 kg, what will be the weight of 6 m of the same rod?
If 11.25 m of a uniform iron rod weighs 42.75 kg, what will be the weight of 6 m of the same rod?
Maths-General
Maths-
If the number 0.987098709 is displayed on a calculator that can only display ten digits, do we know whether it is rational or irrational? In one complete sentence explain why?
If the number 0.987098709 is displayed on a calculator that can only display ten digits, do we know whether it is rational or irrational? In one complete sentence explain why?
Maths-General
Maths-
A contractor can complete a certain piece of work in 9 days. He employed a certain number of men, but 6 of them are absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?
A contractor can complete a certain piece of work in 9 days. He employed a certain number of men, but 6 of them are absent from the very first day, the rest could finish the work in 15 days. How many men were originally employed?
Maths-General
Maths-
The scale of a map is 1: 3 x 107 . Two cities are 5 cm apart on the map. Find the actual distance between them in kilometres?
The scale of a map is 1: 3 x 107 . Two cities are 5 cm apart on the map. Find the actual distance between them in kilometres?
Maths-General