108.8÷2.75

Question

Show working bit by bit for primary 4

Answer 1

To solve $108.8÷2.75$ 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 $10880÷275$.

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:

$$108.8÷2.75=39\text{ R }155$$

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,

$$108.8÷2.75\approx 39$$

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