Understanding the Problem
To solve the multiplication problem 37 × 108, we can use the distributive property, which allows us to break down complex multiplication into simpler parts.
Distributive Property Explained
The distributive property states that:
a × (b + c) = (a × b) + (a × c)
In this case, we can break down 108 into two parts: 100 and 8. Thus, we can rewrite the problem as:
37 × 108 = 37 × (100 + 8)
Breaking Down the Calculation
Now, we can apply the distributive property:
- Calculate the first part:
- 37 × 100 = 3700
- Calculate the second part:
- 37 × 8 = 296
Now, we can add these two results together:
3700 + 296
Final Calculation
Now, let's perform the addition:
- 3700 + 296 = 3996
Thus, the final answer to 37 × 108 is:
Answer: 3996
Conclusion
By using the distributive property, we simplified the multiplication of 37 and 108 into easier calculations, leading us to the final answer efficiently. This method not only aids in understanding multiplication but also enhances our arithmetic skills.