To solve the question \( 204 \div 0.17 = ? \), we can follow these steps:
### Step 1: Convert the Decimal to a Whole Number
To eliminate the decimal in the divisor (0.17), we can multiply both the numerator (204) and the denominator (0.17) by 100. This is because moving the decimal two places to the right will convert 0.17 to a whole number.
\[
204 \div 0.17 = \frac{204 \times 100}{0.17 \times 100}
\]
### Step 2: Perform the Multiplication
Now, we perform the multiplication:
\[
204 \times 100 = 20400
\]
\[
0.17 \times 100 = 17
\]
So, we can rewrite the division as:
\[
204 \div 0.17 = \frac{20400}{17}
\]
### Step 3: Divide the Whole Numbers
Next, we need to divide 20400 by 17.
\[
20400 \div 17
\]
Performing the division:
\[
20400 \div 17 = 1200
\]
### Step 4: Write the Final Answer
Thus, the final answer is:
\[
204 \div 0.17 = 1200
\]
### Summary
The answer to the question \( 204 \div 0.17 \) is \( 1200 \).
---
Topper's Solved these Questions
DECIMALS
RS AGGARWAL|Exercise TEST PAPER-3(D)|5 Videos
DECIMALS
RS AGGARWAL|Exercise TEST PAPER-3(B)|8 Videos
CONSTRUCTIONS
RS AGGARWAL|Exercise TEST PAPER (True/False)|4 Videos