Question

4

please help asap !!

Select the correct answer.
Which set of numbers is arranged in increasing order?
O A.
1
OB.
TT, V10. 3.14.22
3.14, 7, 2, VTO
Oc. 44, V1O. 3.14. 7
OD V10, 42, 3.14, 5

Answer 1

`\textsf{B.} \quad 3.14, \; \pi, \; (22)/(7), \;√(10)`

Explanation:

The given set of numbers (in any order) is:

`\pi, \;√(10), \; 3.14, \; (22)/(7)`

Convert each number to its decimal equivalent to 4 decimal places:

`\implies \pi=3.1416\;(\sf 4\;d.p.)`

`\implies √(10)=3.1623\;(\sf 4\;d.p.)`

`\implies 3.14 = 3.1400\;(\sf 4\;d.p.)`

`\implies (22)/(7)=3.1429\;(\sf 4\;d.p.)`

Each number has 3 units and 1 tenth.

Comparing the hundredths, all the numbers have 4 hundredths except √10 which has 6 hundredths. Therefore, √10 is the largest number since 6 > 4.

Comparing the thousandths of the other three numbers, 3.14 is the smallest number as it has zero thousandths.

π is the next smallest as it has a one thousandth.

Therefore, the given set of numbers in increasing order is:

`3.14, \; \pi, \; (22)/(7), \;√(10)`