What should be added to 37.28 to obtain 46.8?

Answer

To find out what should be added to 37.28 to obtain 46.8, we can follow these steps:

### Step 1: Set up the equation
We need to find a number \( x \) such that:
\[ 37.28 + x = 46.8 \]

### Step 2: Rearrange the equation
To find \( x \), we can rearrange the equation:
\[ x = 46.8 - 37.28 \]

### Step 3: Convert to like terms
Before we subtract, we need to make sure both numbers have the same number of decimal places.
- 46.8 can be written as 46.80 (adding a zero).

### Step 4: Perform the subtraction
Now we can subtract:
\[ 46.80 - 37.28 \]

Align the numbers for subtraction:
```
46.80
- 37.28
```

### Step 5: Subtract the numbers
- Start from the rightmost digit:
- 0 cannot subtract 8, so we borrow 1 from the 8 (making it 7), and the 0 becomes 10.
- Now, 10 - 8 = 2.

- Move to the next digit:
- 7 - 2 = 5.

- Move to the next digit:
- 6 - 7 cannot be done, so we borrow 1 from the 4 (making it 3), and the 6 becomes 16.
- Now, 16 - 7 = 9.

- Finally, subtract the leftmost digits:
- 3 - 3 = 0.

Putting it all together, we get:
```
46.80
- 37.28
--------
9.52
```

### Step 6: Conclusion
Thus, the number that should be added to 37.28 to obtain 46.8 is:
\[ \boxed{9.52} \]

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