What is the value of `63.368 + 21.732 - 35.147` rounded to the nearest hundredths?

Options

A. `49.953`
B. `45.7`
C. `49.96`
D. `49.95`

Answer

To solve the problem `63.368 + 21.732 - 35.147` and round the result to the nearest hundredths, we will follow these steps:

### Step 1: Add the two numbers
First, we will add `63.368` and `21.732`.

```
63.368
+ 21.732
---------
85.100
```

### Step 2: Subtract the third number
Next, we will subtract `35.147` from the sum we just calculated.

```
85.100
- 35.147
---------
49.953
```

### Step 3: Round to the nearest hundredths
Now, we need to round `49.953` to the nearest hundredths. The hundredths place is the second digit to the right of the decimal point.

- The number in the hundredths place is `5` (from `49.953`).
- The number in the thousandths place is `3`.

Since the thousandths place (3) is less than 5, we do not round up the hundredths place.

Thus, `49.953` rounded to the nearest hundredths is `49.95`.

### Final Answer
The value of `63.368 + 21.732 - 35.147` rounded to the nearest hundredths is **49.95**.

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