Question

108.8÷2.75
Show working bit by bit for primary 4

Answer 1

To solve \( 108.8 \div 2.75 \) step by step, let's break it down for you:

### Step 1: Eliminate the Decimal

To make it easier to divide, we can multiply both numbers by 100 to eliminate the decimals:

- \( 108.8 \times 100 = 10880 \)
- \( 2.75 \times 100 = 275 \)

So now we need to divide \( 10880 \) by \( 275 \).

### Step 2: Perform Long Division

Now we will perform long division to calculate \( 10880 \div 275 \).

1. **How many times does 275 go into the first digits?**
- 275 does not go into 1, 10, or 108, so we look at 1088 (the first four digits).
- Estimate how many times 275 can fit into 1088.
- \( 275 \times 4 = 1100 \) (too much)
- \( 275 \times 3 = 825 \)

So, we can fit 275 into 1088 three times.

2. **Subtract this result from 1088**:
- \( 1088 - 825 = 263 \)

3. **Bring down the next digit (0)**, making it \( 2630 \).

4. **How many times does 275 go into 2630?**
- Estimate: \( 275 \times 9 = 2475 \) (fits)
- \( 275 \times 10 = 2750 \) (too much)

So, it fits 9 times.

5. **Subtract this result from 2630**:
- \( 2630 - 2475 = 155 \)

Now, we are left with a remainder of 155.

### Step 3: Combine Results

So from the long division, we find:

- The quotient is \( 39 \)
- And the remainder is \( 155 \)

### Step 4: Write the Result

We can write the answer as:

\[ 108.8 \div 2.75 = 39 \text{ R } 155 \]

If we want to express it as a decimal, we can continue dividing \( 155 \) by \( 275 \) and add this as a decimal to \( 39 \). However, for primary 4, we can simply conclude with the whole number answer.

Thus,

\[
108.8 \div 2.75 \approx 39
\]

This is a step-by-step illustration suitable for primary 4 students.