Calculate 73 - 48 using the "complete the whole" method near a base.a)...
Understanding the "Complete the Whole" Method
The "complete the whole" method is a useful technique for simplifying subtraction problems, especially when working with numbers close to a base like 10 or 100.
Step-by-Step Calculation of 73 - 48
1. Identify the Base
For this problem, we can use the base of 50, which is close to both numbers.
2. Complete to the Base
To simplify 48, we can think about how much we need to add to reach 50.
- 50 - 48 = 2
3. Adjust the Other Number
Now, we add this 2 to 73 to maintain balance.
- 73 - 48 can be rephrased as 73 - (48 + 2) + 2
4. Calculate the New Values
- This simplifies to:
73 - 50 + 2
- Which equals:
23 + 2 = 25
Final Result
Thus, the answer to 73 - 48 is 25. The correct answer is option 'B'.
Why This Method Works
- Visualizing the Numbers
This method helps visualize how numbers fit together, making subtraction easier.
- Breaking Down Complex Problems
By adjusting the numbers to a base, we simplify the calculation and avoid mistakes.
Using the "complete the whole" method not only makes calculations straightforward but also strengthens number sense, which is essential in mathematics.
Calculate 73 - 48 using the "complete the whole" method near a base.a)...
48 is near 50 (2 less). Subtract 50 from 73 to get 23, then add 2 back: 23 + 2 = 25. Thus, 73 - 48 = 25.