Number System Test

Result

Number System Test - 5

Score
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Weekly Quiz Competition

Question 1
1 / -0

Which of the following represents the sum of three non-terminating, non-recurring decimals?

A
0.0404040... + 0.0707070... + 0.2300230023...

B
0.400400400... + 0.700700700... + 0.230230230...

C
0.000400040004... + 0.0720720720... + 0.230230230...

D
0.040040004000... + 0.0700700070000... + 0.23002300023...

Solution

A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly. Decimals of this type cannot be represented as fractions, and as a result are irrational numbers.

So, in the option 4, the numbers are continuing endlessly and no group is repeating.
However, in all the other options, the groups are repeating.
Question 2
1 / -0

Read the statements carefully and choose the correct option.

Statement 1: In mathematics, a rational number is any number that can be expressed as the quotient or fraction 'a/b' of two integers, a numerator 'a' and a non-zero denominator 'b'.
Statement 2: Since 'b' may be less than 1, every integer will be a rational number.

A
Both statements I and II are true.

B
Both statements I and II are false.

C
Statements I is true and statement II is false.

D
Statements I is false and statement II is true.

Solution

Statement 1: In mathematics, a rational number is any number that can be expressed as the quotient or fraction 'a/b' of two integers, a numerator 'a' and a non-zero denominator 'b'.

This is true for the definition of rational numbers.

Statement 2: Since 'b' may be less than 1, every integer will be a rational number.
Since the value of 'b' has to be at least 1, this statement is false.