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Number System Basics: Test-4

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Question 1
What will be the answer when the number 4567.893 is rounded to the nearest unit digit?
A
4567.9
B
4567.84
C
4567
D
4568
Question 1 Explanation: 
We need to round the number to the closest unit digit.
After the decimal, we have 8 (greater than 5),
therefore we round off the number to the next number.
In case we have the number 4567.893, we have selected 4568 as the answer.
Question 2
Which number is 1,347 when rounded to the nearest hundred?
A
1300
B
1340
C
1400
D
1350
Question 2 Explanation: 
Since the number is smaller than 1350 so cannot be approximated to the next hundred-value.
Thus, the best option and the right answer is 1300.
Question 3
Which of these an irrational number?
A
0
B
-2
C
√3
D
0.86
Question 3 Explanation: 
Irrational numbers are those which are not rational, that is those numbers that cannot be written in the form of a ratio.
0 is neither rational nor irrational number
-2 is a rational number as it can written in the form -2/1
0.86 can be written in the form of 86/100 and therefore is a rational number
So the right answer is c i.e √3 which is equal to 1.7320508075688772935274463415059
and it cannot be written in p/q form
Question 4
Which is the expanded notation for the number 0.675?
A
6 x 10-3 + 7 x 10-2 + 5 x 10
B
6 x 10-4 + 7 x 10-2 + 5 x 100
C
6 x 10-1 + 7 x 10-2 + 5 x 10-3
D
6 x 103 + 7 x 10-2 + 5 x 101
Question 4 Explanation: 
The right answer is c
6 x 10-1 + 7 x 10-2 + 5 x 10-3
When we solve this equation, we get the right answer as:
6 x 1/10 + 7 x 1/100 + 5 x 1/1000= 0.675
Question 5
Which is the standard number for 4 x 105 + 3 x 10-3 + 2 x 102 + 5 x 101?
A
400250.003
B
400250.0003
C
40250.03
D
400250.300
Question 5 Explanation: 
The right answer is option a
The clue for this question is the negative power of 10
When we will solve this we find the answer option a as the right answer
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