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Estimation
Estimation
Here are some situations where estimation might be
useful:
1. An exact value me not be worth the trouble, such
as determining the number of people in a large crowd.
Estimation
Here are some situations where estimation might be
useful:
1. An exact value me not be worth the trouble, such
as determining the number of people in a large crowd.
2. An estimate me be easier to work with. This
happens often with prices such as $9.95 and $1.99. It
is much easier to use $10 and $2 for these two prices.
Estimation
Here are some situations where estimation might be
useful:
1. An exact value me not be worth the trouble, such
as determining the number of people in a large crowd.
2. An estimate me be easier to work with. This
happens often with prices such as $9.95 and $1.99. It
is much easier to use $10 and $2 for these two prices.
3. It may be safer to use an estimate. If you go to the
store expecting to spend $17, you might want to take
$20 to be sure you have enough money to pay the bill.
Estimation
Here are some situations where estimation might be
useful:
1. An exact value me not be worth the trouble, such
as determining the number of people in a large crowd.
2. An estimate me be easier to work with. This
happens often with prices such as $9.95 and $1.99. It
is much easier to use $10 and $2 for these two prices.
3. It may be safer to use an estimate. If you go to the
store expecting to spend $17, you might want to take
$20 to be sure you have enough money to pay the bill.
4. An exact value may change from time to time.
The population of a country, for example, changes
constantly.
Estimation
Here are some situations where estimation might be
useful:
1. An exact value me not be worth the trouble, such
as determining the number of people in a large crowd.
2. An estimate me be easier to work with. This
happens often with prices such as $9.95 and $1.99. It
is much easier to use $10 and $2 for these two prices.
3. It may be safer to use an estimate. If you go to the
store expecting to spend $17, you might want to take
$20 to be sure you have enough money to pay the bill.
4. An exact value may change from time to time.
The population of a country, for example, changes
constantly.
5. An exact value may not be available. Someone
might ask you how much you spent at a restaurant.
You might not know the exact amount, but you
probably can gave an estimate of the amount that is
close to the actual amount.
Estimations are often
made by using
rounding.
Estimations are often
made by using
rounding.
Three types of rounding
are:
rounding to the nearest
Estimations are often
made by using
rounding.
Three types of rounding
are:
rounding to the nearest
rounding up
Estimations are often
made by using
rounding.
Three types of rounding
are:
rounding to the nearest
rounding up
rounding down
$42.67
$42.67
Round to the nearest dollar:
$42.67
Round to the nearest dollar:
$43
$42.67
Round to the nearest dollar:
$43
Round up to the next dollar:
$42.67
Round to the nearest dollar:
$43
Round up to the next dollar:
$43
$42.67
Round to the nearest dollar:
$43
Round up to the next dollar:
$43
Round down to the previous
dollar:
$42.67
Round to the nearest dollar:
$43
Round up to the next dollar:
$43
Round down to the previous
dollar:
$42
$42.27
$42.27
Round to the nearest dollar:
$42.27
Round to the nearest dollar:
$42
$42.27
Round to the nearest dollar:
$42
Round up to the next dollar:
$42.27
Round to the nearest dollar:
$42
Round up to the next dollar:
$43
$42.27
Round to the nearest dollar:
$42
Round up to the next dollar:
$43
Round down to the previous
dollar:
$42.27
Round to the nearest dollar:
$42
Round up to the next dollar:
$43
Round down to the previous
dollar:
$42
$42.50
$42.50
Round to the nearest dollar:
$42.50
Round to the nearest dollar:
$42 or $43
$42.50
Round to the nearest dollar:
$42 or $43
Round up to the next dollar:
$42.50
Round to the nearest dollar:
$42 or $43
Round up to the next dollar:
$43
$42.50
Round to the nearest dollar:
$42 or $43
Round up to the next dollar:
$43
Round down to the previous
dollar:
$42.50
Round to the nearest dollar:
$42 or $43
Round up to the next dollar:
$43
Round down to the previous
dollar:
$42
1953
1953
Round to the nearest hundred:
1953
Round to the nearest hundred:
2000
1953
Round to the nearest hundred:
2000
Round down to the previous
hundred:
1953
Round to the nearest hundred:
2000
Round down to the previous
hundred: 1900
1953
Round to the nearest hundred:
2000
Round down to the previous
hundred: 1900
Round up to the next
hundred:
1953
Round to the nearest hundred:
2000
Round down to the previous
hundred: 1900
Round up to the next
hundred: 2000
3.141592654
3.141592654
Many calculators
round π to the nearest
billionth. The actual
digit in the billionths
place is 3, but it
rounds to the number
above because the
next digit (in the ten
billionths place) is 5.
3.141592654
The calculator on my cell
phone rounds π to the nearest
hundred millionth.
3.141592654
The calculator on my cell
phone rounds π to the nearest
hundred millionth.
3.14159265
Round π to the nearest
thousandth:
3.141592654
Round π to the nearest
thousandth:
3.141592654
Round π to the nearest
thousandth:
3.141592654
Round π to the nearest
thousandth:
3.141592654
3.142
Truncating is cutting
off a decimal number
after a particular
decimal place.
Truncating is cutting
off a decimal number
after a particular
decimal place.
Truncating π after the ones
place gives 3
Truncating is cutting
off a decimal number
after a particular
decimal place.
Truncating π after the ones
place gives 3
Truncating π after the ten
thousandths place gives
3.1415
Truncating for positive
numbers will give the
same results as
rounding down.
-1953
-1953
Round to the nearest hundred:
-1953
Round to the nearest hundred:
-2000
-1953
Round to the nearest hundred:
-2000
Round down to the previous
hundred:
-1953
Round to the nearest hundred:
-2000
Round down to the previous
hundred: -2000
-1953
Round to the nearest hundred:
-2000
Round down to the previous
hundred: -2000
Round up to the next
hundred:
-1953
Round to the nearest hundred:
-2000
Round down to the previous
hundred: -2000
Round up to the next
hundred: -1900
-π
•-3
π
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-π
•-3
π
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π to the nearest integer.
-π
•-3
π
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π to the nearest integer.
-π
•-3
π
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π to the nearest integer.
π
-π
•-3
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π to the nearest integer.
-3
-π
•-3
π
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π up to the next integer.
π
-π
•-3
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π up to the next integer.
-3
-π
•-3
π
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π down to the previous
integer.
π
-π
•-3
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π down to the previous
integer.
-4
-π
•-3
π
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π to the nearest hundredth.
-π
•-3
π
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π to the nearest hundredth.
-π
•-3
π
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π to the nearest hundredth.
π
-π
•-3
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π to the nearest hundredth.
-3.14
-π
•-3
π
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π to up to the next
hundredth.
π
-π
•-3
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π to up to the next
hundredth.
-3.14
π
-π
•-3
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π to down to the previous
hundredth.
-3.15
π
-π
•-3
•
3
-5 -4
-2 -1 0 1 2
4 5
It may be helpful to think of a
number line when rounding negative
numbers.
-3.141592654
Round -π to down to the previous
hundredth.
-3.15
This lesson looked at:
estimation
This lesson looked at:
estimation
rounding to the nearest
This lesson looked at:
estimation
rounding to the nearest
rounding up
This lesson looked at:
estimation
rounding to the nearest
rounding up
rounding down
This lesson looked at:
estimation
rounding to the nearest
rounding up
rounding down
truncating