Certainly! Let's solve the addition problem step-by-step:
We are given two numbers to add: [tex]\( 191.007 \)[/tex] and [tex]\( 0.8215 \)[/tex].
1. Align the decimal points: To add these numbers accurately, we need to align the decimal points.
```
191.0070
+ 0.8215
```
Notice how we've added a trailing zero to [tex]\( 191.007 \)[/tex] to facilitate the addition, though it's not strictly necessary for calculation.
2. Add from right to left: Start adding from the rightmost digit to the leftmost digit.
- First column (thousandths place): [tex]\( 0 + 5 = 5 \)[/tex]
- Second column (hundredths place): [tex]\( 0 + 1 = 1 \)[/tex]
- Third column (tenths place): [tex]\( 7 + 2 = 9 \)[/tex]
- Fourth column (units place): [tex]\( 0 + 8 = 8 \)[/tex]
- Fifth column (tens place): [tex]\( 1 + 0 = 1 \)[/tex]
- Sixth column (hundreds place): [tex]\( 9 + 1 = 0 \)[/tex] (carry over 1)
- Adding the carry-over to the hundreds place: [tex]\( 1 + 1 = 2 \)[/tex]
3. Combine the results: Put all the digits together, ensuring the decimal point is correctly placed.
```
191.0070
+ 0.8215
__________
191.8285
```
So, the sum of [tex]\( 191.007 \)[/tex] and [tex]\( 0.8215 \)[/tex] is [tex]\( \boxed{191.8285} \)[/tex].
