Which is greater 2 1/4 or 2.1?

3 Answers
Mar 24, 2018

2 1/4214

Explanation:

2 1/4214 is 2.252.25 which is greater than 2.12.1

Mar 24, 2018

2 1/4214 is greater than 2.12.1.

Explanation:

2 1/4 = 2+1/4214=2+14
1/4 = 0.2514=0.25
2 + 0.25 = 2.252+0.25=2.25
2.25>2.12.25>2.1

Mar 31, 2018

2.1color(white)("d") < color(white)("d")2 1/4 2.1d<d214

Explanation:

As both numbers 'contain' 2 you can for now forget about the 2's and just concentrate on number parts that are less than 1.

So we are comparing 1/4 and 0.114and0.1

The first decimal place is counting in 10^("ths")10ths so we are comparing:

1/4 and 1/1014and110

The larger the bottom number the 'smaller' is the things that we are counting (top numbers)

As 10 is greater than 4 and the top numbers are the same then 1/10110 is 'smaller' than 1/414

Thus 1/10 <1/4110<14

So it follows that

color(white)("dd")ubrace(2 1/10)color(white)("d") < color(white)("d")2 1/4
color(white)("d...")darr
"Same value"
color(white)("d,,,,")uarr
color(white)("d,,") obrace(color(white)(.)2.1color(white)(.))color(white)("d") < color(white)("d")2 1/4