Express as kg using decimals
(i) 37 g (ii) 100 g (iii) 5 kg 8 g

Answer

To express the given weights in kilograms using decimals, we will follow these steps for each part of the question.

### Step-by-Step Solution:

**(i) Convert 37 grams to kilograms:**

1. **Understand the conversion factor:**
We know that 1 kg = 1000 grams. Therefore, to convert grams to kilograms, we can use the formula:
\[ \text{grams} \times \frac{1 \text{ kg}}{1000 \text{ g}} \]

2. **Apply the conversion to 37 grams:**
\[ 37 \text{ g} = 37 \times \frac{1}{1000} \text{ kg} \]

3. **Calculate:**
\[ 37 \text{ g} = \frac{37}{1000} \text{ kg} \]

4. **Convert to decimal form:**
Since there are three zeros in the denominator, we place the decimal point three places from the right:
\[ \frac{37}{1000} = 0.037 \text{ kg} \]

**Answer for (i):** 0.037 kg

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**(ii) Convert 100 grams to kilograms:**

1. **Use the conversion factor again:**
\[ 100 \text{ g} = 100 \times \frac{1}{1000} \text{ kg} \]

2. **Calculate:**
\[ 100 \text{ g} = \frac{100}{1000} \text{ kg} \]

3. **Simplify the fraction:**
Cancel out two zeros:
\[ \frac{100}{1000} = \frac{1}{10} \text{ kg} \]

4. **Convert to decimal form:**
\[ \frac{1}{10} = 0.1 \text{ kg} \]

**Answer for (ii):** 0.1 kg

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**(iii) Convert 5 kg 8 grams to kilograms:**

1. **Separate the components:**
We have 5 kg and 8 grams. We will convert 8 grams to kilograms.

2. **Convert 8 grams to kilograms:**
\[ 8 \text{ g} = 8 \times \frac{1}{1000} \text{ kg} \]
\[ 8 \text{ g} = \frac{8}{1000} \text{ kg} \]

3. **Convert to decimal form:**
Since there are three zeros in the denominator:
\[ \frac{8}{1000} = 0.008 \text{ kg} \]

4. **Add the two parts together:**
Combine 5 kg and 0.008 kg:
\[ 5 \text{ kg} + 0.008 \text{ kg} = 5.008 \text{ kg} \]

**Answer for (iii):** 5.008 kg

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### Summary of Answers:
- (i) 0.037 kg
- (ii) 0.1 kg
- (iii) 5.008 kg