The sum of 7 multiples of 13 is nearest to:

Options

A. 360
B. 365
C. 370
D. 375

Answer

To find the sum of 7 multiples of 13, we can follow these steps:

### Step 1: Identify the multiples of 13
The first 7 multiples of 13 can be calculated as follows:
- 1st multiple: \( 13 \times 1 = 13 \)
- 2nd multiple: \( 13 \times 2 = 26 \)
- 3rd multiple: \( 13 \times 3 = 39 \)
- 4th multiple: \( 13 \times 4 = 52 \)
- 5th multiple: \( 13 \times 5 = 65 \)
- 6th multiple: \( 13 \times 6 = 78 \)
- 7th multiple: \( 13 \times 7 = 91 \)

### Step 2: Write down the multiples
The multiples of 13 are:
- 13, 26, 39, 52, 65, 78, 91

### Step 3: Calculate the sum of these multiples
Now, we need to add these values together:
\[ 13 + 26 + 39 + 52 + 65 + 78 + 91 \]

### Step 4: Perform the addition
Let's add them step by step:
- \( 13 + 26 = 39 \)
- \( 39 + 39 = 78 \)
- \( 78 + 52 = 130 \)
- \( 130 + 65 = 195 \)
- \( 195 + 78 = 273 \)
- \( 273 + 91 = 364 \)

So, the total sum of the 7 multiples of 13 is \( 364 \).

### Step 5: Find the nearest number
Now, we need to find the nearest number to 364. The options we can consider are:
- 360
- 365
- 370
- 375

Among these, \( 364 \) is closest to \( 365 \).

### Final Answer
Therefore, the sum of 7 multiples of 13 is nearest to \( 365 \).

---