Decimal division can be solved systematically by converting the divisor into a whole number and adjusting the dividend accordingly. Here's a step-by-step approach:
Steps for Decimal Division
-
Convert the Divisor to a Whole Number:
- Multiply the divisor by a power of 10 (10, 100, 1000, etc.) until it becomes a whole number.
- Example: If the divisor is 0.09, multiply it by 100:
0.09 × 100 = 9(Reference 1).
-
Adjust the Dividend:
- Multiply the dividend by the same power of 10 that you used for the divisor. This maintains the correct ratio for division.
- Example: If the dividend is 1.683, multiply it by 100:
1.683 × 100 = 168.3(Reference 2).
-
Perform the Division:
- Divide the adjusted dividend by the whole number divisor.
- Example: Now you divide 168.3 by 9 (Reference 3).
Example Calculation
Let's divide 1.683 by 0.09.
- Make the divisor a whole number:
0.09 * 100 = 9 - Adjust the dividend:
1.683 * 100 = 168.3 - Perform the division:
168.3 / 9 = 18.7
Therefore, 1.683 ÷ 0.09 = 18.7
