What will be the nearest value when 2.05 is multiplied by 302.005?

Options

A. 605
B. 615
C. 620
D. 625

Answer

To find the nearest value when multiplying 2.05 by 302.005, we can follow these steps:

### Step 1: Round the Numbers
First, we round the numbers to make the multiplication simpler.
- 2.05 can be rounded to 2.0 (or simply 2).
- 302.005 can be rounded to 302.

### Step 2: Multiply the Rounded Numbers
Now, we multiply the rounded numbers:
- \( 2 \times 302 = 604 \)

### Step 3: Find the Nearest Value
Next, we need to find the nearest whole number to the product we calculated.
- The product is 604, which is already a whole number.

### Step 4: Compare with the Actual Product
Now, let's calculate the actual product of the original numbers to see how close our rounded multiplication is:
- \( 2.05 \times 302.005 \)

Using a calculator or performing the multiplication:
- \( 2.05 \times 302.005 = 619.11025 \)

### Step 5: Round the Actual Product
Now, we round the actual product to the nearest whole number:
- 619.11025 rounds to 619.

### Conclusion
Thus, the nearest value when 2.05 is multiplied by 302.005 is **619**.

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