Calculate the number of significant figures in the following :
(i) `1.00 xx 10^(6)`
(ii) 0.0050
(c ) 1.234
(d) 0.0006
(e) 0.368

Answer

To determine the number of significant figures in each of the given numbers, we will apply the rules of significant figures:

1. **Non-zero digits are always significant.**
2. **Any zeros between significant digits are significant.**
3. **Final zeros or trailing zeros in the decimal portion are significant.**
4. **Leading zeros (zeros before the first non-zero digit) are not significant.**

Now, let's analyze each number step by step:

### (i) `1.00 x 10^(6)`

- The number is in scientific notation. The significant figures come from the coefficient (1.00).
- The digits "1", "0", and "0" are significant.
- Therefore, the number of significant figures is **3**.

### (ii) `0.0050`

- The leading zeros (0.00) are not significant.
- The digits "5" and "0" are significant.
- Therefore, the number of significant figures is **2**.

### (iii) `1.234`

- All digits are non-zero and thus significant.
- Therefore, the number of significant figures is **4**.

### (iv) `0.0006`

- The leading zeros (0.000) are not significant.
- The digit "6" is significant.
- Therefore, the number of significant figures is **1**.

### (v) `0.368`

- The leading zero (0) is not significant.
- The digits "3", "6", and "8" are significant.
- Therefore, the number of significant figures is **3**.

### Summary of Significant Figures:
- (i) `1.00 x 10^(6)` → 3 significant figures
- (ii) `0.0050` → 2 significant figures
- (iii) `1.234` → 4 significant figures
- (iv) `0.0006` → 1 significant figure
- (v) `0.368` → 3 significant figures

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