When it comes to mathematics, multiplication is one of the fundamental operations that helps us to solve various problems efficiently. In this article, we will explore the calculation of 165 x 1,075.
The Calculation
To find the product of 165 and 1,075, we will perform the multiplication step by step.
-
Set up the multiplication:
- We write down the numbers vertically:
165 x 1075
- We write down the numbers vertically:
-
Multiply each digit of the bottom number (1,075):
- 5 (from 1,075) multiplied by 165:
- ( 5 \times 165 = 825 )
- 7 (from 1,075) multiplied by 165 (shift one position to the left):
- ( 7 \times 165 = 1,155 ) → write this as ( 11,550 )
- 0 (from 1,075) multiplied by 165 (shift two positions to the left):
- ( 0 \times 165 = 0 ) → write this as ( 0 )
- 1 (from 1,075) multiplied by 165 (shift three positions to the left):
- ( 1 \times 165 = 165 ) → write this as ( 165,000 )
- 5 (from 1,075) multiplied by 165:
-
Add the results:
- Now, we sum the results obtained from the multiplication:
825 +11550 + 0 +165000 __________ 177375
- Now, we sum the results obtained from the multiplication:
The final result of the multiplication ( 165 \times 1,075 ) is 177,375.
Practical Applications
Understanding how to perform multiplication can be useful in various real-life situations, such as:
- Budgeting: Calculating total expenses when you know the cost of items and quantities.
- Cooking: Adjusting recipes based on serving sizes.
- Shopping: Estimating total costs when purchasing multiple items.
Conclusion
In summary, the multiplication of 165 by 1,075 results in 177,375. Mastering basic arithmetic operations like multiplication can significantly aid in everyday problem-solving tasks.