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in this example we're ask to round the number forty thousand nine hundred sixty three
to four different places in part a we're asked to round that number to the tens
place
I'm going to illustrate a couple of different ways to round numbers as we go through
each of the parts of this example
so in the first problem if I want to round the number to the nearest tens place
I'm going to look at the six which is in the tens place and the number to the right
which is the three and i'm going to ask myself is sixty three closer to sixty or to
seventy
well it's closer to sixty so if i were going to approximate
which is what rounding really is
forty thousand nine hundred sixty three to the tens place
i would round it to forty thousand nine sixty and these squiggly lines mean
approximately equal and we can use them when we're rounding
let's look at the same number forty thousand
nine hundred sixty three and see how we're going around that to the nearest
hundreds place
well if i look at the hundreds place I have the digit nine so
nine hundred sixty three is the hundreds part of this number
is nine hundred sixty three closer to nine hundred or to a thousand
well it's closer to a thousand so if I am going to approximate the number to
the nearest hundreds i'm going to have to round to
forty one
thousand
looking at the number again
forty thousand nine sixty three
rounding it to the nearest
thousand
the zero is in the thousand place so what I can do is to illustrate another
method of rounding so if I focus just on the digit
in the place that i want and the digit to the right
then if the digit to the right which is the the nine is five or bigger then I
add one to the digit that's in the place that I want
so that would make that forty one
thousand
would be
forty thousand nine sixty three rounded to the nearest thousand and notice that
the approximation for this number to the nearest thousand and to the nearest
hundreds is the same
that's okay
so let's look at the last one forty thousand nine sixty three rounded to the
nearest ten thousand
again I'm going to illustrate the second method of rounding
which is to look at the digit that's in the place we want which is the four
and look at the digit to the right
the digit to the right is zero which means that my four is gonna stay in
place
and if i a approximate forty thousand nine sixty three
to the nearest ten thousand
then the result would be
forty