Express the following number to two significant figures
(i) 5.602792
(ii) 3.3402800

Answer

To express the given numbers to two significant figures, we will follow these steps:

### Step 1: Identify the significant figures in the number 5.602792
- The significant figures are all non-zero digits and any zeros that are between them or after a decimal point and a non-zero digit.
- In 5.602792, the significant figures are 5, 6, 0, 2, 7, 9, and 2.

### Step 2: Round the number to two significant figures
- The first two significant figures in 5.602792 are 5 and 6.
- The next digit after these two is 0. Since it is less than 5, we do not round up.
- Therefore, 5.602792 rounded to two significant figures is **5.6**.

### Step 3: Identify the significant figures in the number 3.3402800
- In 3.3402800, the significant figures are 3, 3, 4, 0, 2, 8, 0, and 0.
- The first two significant figures are 3 and 3.

### Step 4: Round the number to two significant figures
- The next digit after these two is 4. Since it is less than 5, we do not round up.
- Therefore, 3.3402800 rounded to two significant figures is **3.3**.

### Final Answers:
(i) 5.602792 → **5.6**
(ii) 3.3402800 → **3.3**

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