To Estimate Products Video Lecture - Class 6

to estimate the product of 8,000 291
times 27 we first round so that each
number contains only one non-zero digit
so here we round 8,000 291 to the
nearest thousand and we round 27 to the
nearest ten to round 8,000 291 to the
nearest thousand the two to the right of
the rounding place tells us to round
down so 8,000 291 rounds down to 8,000
to round 27 to the nearest ten the
seventh to the right of the rounding
place tells us to round up so 27 rounds
up to 30 so we have 8,000 times 30 next
we line up the rounded numbers with the
larger number on top and multiply 8,000
times 30 an easy way to multiply numbers
that end with zeros is to first count
the total number of zeros at the end of
the numbers in this case we have three
zeros at the end of eight thousand and
one zero at the end of 30 since we have
a total of four zeros at the end of the
numbers our answer will end with four
zeros next we multiply the nonzero
digits in this case that's eight times
three which is 24 so we put 24 in front
of the four zeros in our answer and we
have 240 thousand so 8,000 times 30 is
240 thousand which means that eight
thousand 291 times 27 is approximately
240,000