Estimate the product of 874 x 467 by rounding each number to the nearest tens.

To estimate the product to the nearest tens, first, we need to estimate the numbers individually to the nearest tens.

To round off a number to the nearest tens, we have to check the digit at one's place.

If the one's digit is less than 5 then the one's digit becomes zero and the tens digit remains the same.
If the one's digit is greater than or equal to 5 then the one's digit becomes zero and the tens digit increase by 1.

In 874, the digit at one's place is 4 which is less than 5,

So, rounding off 874 to the nearest tens = 870 

In 467, the digit at one's place is 7 which is more than 5,

So, rounding off 467 to the nearest tens = 470 

The product of 874 x 467 by rounding each number to the nearest tens will be:

870 x 470 = 408900.