# Which is bigger: 1.23 or 1.2?

Jan 8, 2018

1.23

#### Explanation:

$1.2$ is the same as $1.20$
$\therefore 1.23 > 1.20$

Jan 8, 2018

$1.23$

#### Explanation:

$\text{consider the place value of the digits}$

$1.23 = 1 + \frac{2}{10} + \frac{3}{100}$

$\textcolor{w h i t e}{x} 1.23 = 1 + \frac{20}{100} + \frac{3}{100} = 1 \frac{23}{100}$

$1.2 = 1 + \frac{2}{10} = 1 + \frac{20}{100} = 1 \frac{20}{100}$

$1.23 \text{ is larger by } \frac{3}{100}$

Jan 14, 2018

$1.23$ is larger than $1.2$.

#### Explanation:

You see, however many zeroes you add to a number after the decimal, the number is still the number.

$1.20$ is the same as $1.2$

$1.2000 \ldots .$ is the same as $1.2$

![https://d2jmvrsizmvf4x.cloudfront.net/aUbq90fjSvGBVhfG6uTA_decimal_places.jpg)

You see, for a proper comparison that is easy to compare by just looking at, we just add one zero to $1.2$.

So then there are two decimal places for both of the numbers. The second decimal place is the hundreds place.

$1.20$
$1.23$

$20$ is less than $23$. Therefore, $1.23$ is greater than $1.2$!

$1.23 > 1.2$

I hope you understand! :D