Answer :

Sure, let's determine the value of the red digit in each number step-by-step.

### Number 9: [tex]\( 214,278,216 \)[/tex]
- The number given is [tex]\( 214,278,216 \)[/tex].
- We need to find the value of the red digit, which is in the hundreds of thousands place.
- To identify the hundreds of thousands place, we can break down the number:
- The places from right to left are: Units, Tens, Hundreds, Thousands, Ten Thousands, Hundred Thousands, Millions, Ten Millions, and so on.
- Specifically, the hundreds of thousands place is the 7th digit from the right.
- Therefore, looking at the number [tex]\( 214,278,216 \)[/tex], the red digit in the hundreds of thousands place is [tex]\( 2 \)[/tex].

### Number 10: [tex]\( 334,290,652 \)[/tex]
- The number given is [tex]\( 334,290,652 \)[/tex].
- We need to identify the value of the red digit, which is in the ten thousands place.
- To find the ten thousands place, we look at the number:
- The order from right to left again is: Units, Tens, Hundreds, Thousands, Ten Thousands, Hundreds of Thousands, Millions, etc.
- The ten thousands place is the 5th digit from the right.
- In the number [tex]\( 334,290,652 \)[/tex], the red digit in the ten thousands place is [tex]\( 9 \)[/tex].

So, the values of the red digits are:
- For number 9: [tex]\( 2 \)[/tex].
- For number 10: [tex]\( 9 \)[/tex].