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 \( 10880 \div 275 \).
- 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.
-
Subtract this result from 1088:
- \( 1088 - 825 = 263 \)
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Bring down the next digit (0), making it \( 2630 \).
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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.
- 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.