The number of significant figures in 45056 is

Options

A. `2`
B. `3`
C. `4`
D. `5`

Answer

To determine the number of significant figures in the number 45056, we can follow these steps:

### Step 1: Identify Non-Zero Digits
First, we need to identify all the non-zero digits in the number 45056. The non-zero digits are:
- 4
- 5
- 6

### Step 2: Count Non-Zero Digits
Count the non-zero digits identified in Step 1. There are three non-zero digits: 4, 5, and 6.

### Step 3: Identify Zeros Between Non-Zero Digits
Next, we look for any zeros that are situated between non-zero digits. In the number 45056, there is one zero located between the 4 and the 5.

### Step 4: Count Significant Zeros
According to the rules of significant figures, any zeros that are between non-zero digits are also considered significant. Therefore, the zero in 45056 is significant.

### Step 5: Total Count of Significant Figures
Now, we can total the significant figures:
- Non-zero digits: 4 (1), 5 (1), 6 (1) = 3 significant figures
- Significant zero: 0 (between 4 and 5) = 1 significant figure

Adding these together gives us:
3 (non-zero digits) + 1 (significant zero) = 4 significant figures.

### Step 6: Include the Last Non-Zero Digit
Finally, we must remember to include the last non-zero digit (6) as significant. Thus, the total number of significant figures in 45056 is 5.

### Final Answer
The number of significant figures in 45056 is **5**.

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