Find the sum of 185.32 (round off to nearest tenths), 64.698 (round off to nearest hundredths) and 36.952 (round off to nearest tenths).

Options

A. `287`
B. `197`
C. `185`
D. `280`

Answer

To solve the problem, we need to round off each number to the specified decimal places and then find their sum. Let's break it down step by step.

### Step 1: Round off 185.32 to the nearest tenths.
- The tenths place is the first digit after the decimal point, which is 3 in this case.
- The hundredths place (the second digit after the decimal point) is 2.
- Since 2 is less than 5, we keep the tenths place the same.
- Therefore, 185.32 rounded to the nearest tenths is **185.3**.

### Step 2: Round off 64.698 to the nearest hundredths.
- The hundredths place is the second digit after the decimal point, which is 9.
- The thousandths place (the third digit after the decimal point) is 8.
- Since 8 is greater than 5, we increase the hundredths place by 1.
- Thus, 9 becomes 10, which means we carry over 1 to the tenths place.
- The tenths place (which was 6) becomes 7, and the hundredths place becomes 0.
- Therefore, 64.698 rounded to the nearest hundredths is **64.70**.

### Step 3: Round off 36.952 to the nearest tenths.
- The tenths place is 9, and the hundredths place is 5.
- Since 5 is equal to 5, we increase the tenths place by 1.
- Thus, 9 becomes 10, which means we carry over 1 to the units place.
- The units place (which was 36) becomes 37, and the tenths place becomes 0.
- Therefore, 36.952 rounded to the nearest tenths is **37.0**.

### Step 4: Sum the rounded numbers.
Now we need to add the rounded numbers:
- 185.3
- 64.70
- 37.0

Aligning the numbers for addition:
```
185.3
+ 64.7
+ 37.0
--------
```
Now, let's add them step by step:
1. Start from the rightmost decimal place: 0 + 0 + 0 = 0.
2. Next, the tenths place: 3 + 7 + 0 = 10. Write down 0 and carry over 1.
3. Now the units place: 5 + 4 + 7 + 1 (carry) = 17. Write down 7 and carry over 1.
4. Finally, the hundreds place: 1 (carry) + 1 + 6 + 3 = 11. Write down 1 and carry over 1.
5. The thousands place: 1 (carry) = 1.

So, the total sum is **287.0**.

### Final Answer:
The sum of the rounded numbers is **287.0**.

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