To solve this problem, follow these steps:
1. Add the given values:
First, add [tex]$24.623$[/tex] and [tex]$0.1$[/tex]:
[tex]\[
24.623 + 0.1 = 24.723
\][/tex]
Next, add [tex]$0.007$[/tex] to the result:
[tex]\[
24.723 + 0.007 = 24.730
\][/tex]
2. Round off the answer to the nearest hundredth:
The value [tex]$24.730$[/tex] needs to be rounded to the nearest hundredth. The digits after the decimal point are [tex]$7$[/tex] (tenths), [tex]$3$[/tex] (hundredths), and [tex]$0$[/tex] (thousandths).
The significant digit for rounding is the thousandth place, which is [tex]$0$[/tex]. Since [tex]$0$[/tex] is less than [tex]$5$[/tex], we do not need to round up, and the hundredths place remains the same.
Therefore, rounding [tex]$24.730$[/tex] to the nearest hundredth provides:
[tex]\[
\text{Rounded result} = 24.73
\][/tex]
So, the sum of [tex]$24.623$[/tex], [tex]$0.1$[/tex], and [tex]$0.007$[/tex], when rounded to the nearest hundredth, is [tex]$24.73$[/tex].
