the approximate answer for 569 times 456 using the method of front-end approximation is

569 times 456 can be approximated using the front-end approximation method as follows:

- Look at the front-end of the numbers, 569 and 456.
- Take the first digit of the bigger number (5 in 569) and multiply it by the whole smaller number (456). This gives 5 times 456 which equals 2280.
- This is an approximate answer for 569 times 456 using the front-end approximation method.

To approximate the product of 569 and 456 using front-end approximation, follow these steps:

1. Identify the front-end digits of both numbers. In this case, the front-end digit of 569 is 5, and the front-end digit of 456 is also 5.

2. Multiply the front-end digits together. In this case, 5 multiplied by 5 is 25.

3. Count the number of zeros in the non-front-end digits of both numbers. In this case, both numbers have no zeros in their non-front-end digits.

4. Add the zeros counted in step 3 to the product obtained in step 2. In this case, there are no zeros to add, so the product is still 25.

Therefore, the approximate answer for 569 times 456 using front-end approximation is 25.

To find the approximate answer for 569 times 456 using the front-end approximation method, follow these steps:

1. Write down both numbers vertically, aligning the digits:
569
x 456
-------

2. Look at the front end of the first number (569), which is 5.
Multiply it by the front end of the second number (456), which is 4.
The result is 5 multiplied by 4, which equals 20.

So, for now, write down 20 as the first part of the approximate answer:
20

3. Count the number of digits in both the first and second numbers. In this case, both numbers have 3 digits each.

4. Subtract 1 from the number of digits, which gives you 2 in this case.

5. Multiply the front end of the first number (5) by the front end of the second number (4).
Then, add a suitable number of zeros at the end equal to the result obtained in the previous step (2 zeros in this case).

The calculation is as follows:
5 multiplied by 4 = 20
Add 2 zeros at the end = 200

6. Write down the result obtained in step 5, which is 200, as the second part of the approximate answer:
200

7. Finally, add the results obtained in steps 2 and 6. This gives you the approximate answer for 569 times 456 using front-end approximation:

20
+200
------
220

Therefore, the approximate answer for 569 times 456 using front-end approximation is 220.