solve 43 times 45 using the front-end approximation method
To solve 43 times 45 using the front-end estimation method, follow these steps:
1. Identify the place value of the front-end digit. In this case, it is 4, which represents the tens place.
2. Ignore all other digits after the front-end digit, making any subsequent digits zero. So 43 becomes 40.
3. Multiply the front-end digit by the other number. In this case, 45 times 4 equals 180.
Therefore, by using the front-end approximation method, 43 times 45 is approximately equal to 180.
To solve 43 times 45 using the front-end approximation method, follow these steps:
Step 1: Round 43 and 45 to their nearest tens.
Round 43 to 40 and 45 to 50.
Step 2: Multiply the rounded numbers.
40 times 50 equals 2000.
So, 43 times 45 is approximately 2000.
To solve 43 times 45 using the front-end approximation method, follow these steps:
Step 1: Identify the front-end digits:
- The front-end digits are the first digits of both numbers. In this case, the front-end digits are 4 and 4.
Step 2: Multiply the front-end digits:
- Multiply the front-end digits (4 * 4) to get the first part of the approximation. In this case, 4 * 4 = 16.
Step 3: Add zeros:
- Add a sufficient number of zeros after the front-end digits. The number of zeros should be equal to the sum of the number of digits in the two numbers minus the number of front-end digits.
- In this case, the number of digits in 43 is 2, the number of digits in 45 is 2 (excluding zeros), and the number of front-end digits is 2. So, we need to add 2 + 2 - 2 = 2 zeros.
Step 4: Multiply the approximate number:
- Multiply the approximate number (16 with 2 zeros added) by the front-end digits of the other number.
- In this case, the approximate number is 16 with 2 zeros added, which becomes 1600. Multiply 1600 by 5 (the front-end digit of 45): 1600 * 5 = 8000.
Step 5: Check for any additional multiplication:
- If there are any additional remaining digits after the front-end digits, multiply them together.
- In this case, there are no additional remaining digits.
Step 6: Add the results from Steps 4 and 5:
- Add the results from the previous two steps to get the final answer.
- In this case, the result from Step 4 is 8000. Since there are no additional remaining digits (Step 5), 8000 is the final answer.
Therefore, the result of 43 times 45 using the front-end approximation method is 8000.