Suppose we want to round to the nearest whole number.
First, we locate the digit in the ones place:
We then look one digit to the right and compare it to the number
Since is greater than (or equal to) , we must round up. To do this, we follow two steps:
First, we remove all of the digits to the right of the ones place:
Then, we increase the value of the last digit by one:
Therefore, rounded to the nearest whole number is
rounded to the nearest whole number is
Rounding a decimal to the nearest whole number means finding the closest whole number to the original decimal.
We start by locating the digit in the ones place:
We then look one digit to the right and compare it to the number
Since is greater than (or equal to) , we must round up. To do this, we follow two steps:
First, we remove all digits to the right of the decimal point:
Then, we increase the value of the last digit by one:
Therefore, rounded to the nearest whole number is
What is $52.8$ rounded to the nearest whole number?
a
|
$50$ |
b
|
$52$ |
c
|
$60$ |
d
|
$53$ |
e
|
$58$ |
$258.515$ rounded to the nearest whole number is
a
|
$260$ |
b
|
$255$ |
c
|
$258$ |
d
|
$259$ |
e
|
$257$ |
What is rounded to the nearest tenth?
We start by locating the digit in the tenths place:
We then look one digit to the right and compare it to the number
Since is greater than or equal to we round up. To do this, we follow two steps:
First, we remove all of the digits to the right of the tenths place:
Then, we increase the value of the last digit by one:
Therefore, rounded to the nearest tenth is
What is $973.48$ rounded to the nearest tenth?
a
|
$973.3$ |
b
|
$973.2$ |
c
|
$973.8$ |
d
|
$973.4$ |
e
|
$973.5$ |
What is $1.317$ rounded to the nearest hundredth?
a
|
$1.31$ |
b
|
$1.35$ |
c
|
$1.3$ |
d
|
$1.4$ |
e
|
$1.32$ |
Sometimes, the digit in the place we are rounding to is If we round up, increasing this digit by one makes So, what do we do?
The answer is to replace with the and increase the next digit by one.
To illustrate, let's round to the nearest tenth. We start by locating the digit in the tenths place:
We then look one digit to the right and compare it to the number
Since is greater than (or equal to) , we round up. To do this, we follow two steps:
First, we remove all of the digits to the right of the tenths place:
Then, because the last digit is a we turn it into a and increase the next digit by one:
Therefore, rounded to the nearest tenth is
What is rounded to the nearest hundredth?
We start by locating the digit in the hundredths place:
We then look one digit to the right and compare it to the number
Since is greater than (or equal to) , we round up. To do this, we follow two steps:
First, we remove all of the digits to the right of the hundredths place:
Then, because the last digit is a we turn it into a and increase the next digit by one:
Therefore, rounded to the nearest hundredth is
What is $369.6$ rounded to the nearest whole number?
a
|
$371$ |
b
|
$390$ |
c
|
$370$ |
d
|
$360$ |
e
|
$369$ |
The number $13.99$ rounded to the nearest tenth is
a
|
$13.9$ |
b
|
$14.1$ |
c
|
$13.0$ |
d
|
$14.0$ |
e
|
$14.8$ |
What is $9.996$ rounded to the nearest hundredth?
a
|
$10.90$ |
b
|
$20.00$ |
c
|
$19.00$ |
d
|
$10.00$ |
e
|
$9.99$ |
Some decimals have digits that continue forever.
For example, the number known as Euler's constant, is a very important number in mathematics. Its digits continue forever, which we denote using as follows:
Let's round this number to the nearest hundredth.
First, we locate the digit in the hundredths place:
We then look one digit to the right and compare it to the number
Since is greater than (or equal to) , we round up. To do this, we follow two steps:
First, we remove all of the digits to the right of the hundredths place:
Then, we increase the value of the last digit by one:
Therefore, rounded to the nearest hundredth is
What is rounded to the nearest tenth?
First, we locate the digit in the tenths place:
We then look one digit to the right and compare it to the number
Since is greater than (or equal to) , we round up. To do this, we follow two steps:
First, we remove all of the digits to the right of the tenths place:
Then, we increase the value of the last digit by one:
Therefore, rounded to the nearest tenth is
$231.6 \ldots$ rounded to the nearest whole number is
a
|
$231$ |
b
|
$232$ |
c
|
$235$ |
d
|
$230$ |
e
|
$233$ |
What is $0.281 \ldots$ rounded to the nearest tenth?
a
|
$0.8$ |
b
|
$1.0$ |
c
|
$0.1$ |
d
|
$0.2$ |
e
|
$0.3$ |
The number $9.198 \ldots$ rounded to the nearest hundredth is
a
|
$9.20$ |
b
|
$9.10$ |
c
|
$9.30$ |
d
|
$9.21$ |
e
|
$9.19$ |