When we divide two whole numbers using long division, we often get a remainder. In this lesson, we will learn how to use long division to express the quotient and remainder as a decimal.
To illustrate, let's compute We start by writing down using long division notation:
Notice that is less than the divisor But we can proceed further by adding a after the decimal point in the dividend. We also add a decimal point in the quotient, as shown below:
Now we complete the division, as usual, stopping once we obtain a remainder of
Therefore,
Calculate the value of
We start by going through the long division procedure as usual:
Notice that the remainder is less than the divisor But we can proceed further by adding a after the decimal point in the dividend. We also add a decimal point in the quotient, as shown below:
Now we complete the division, as usual, stopping once we obtain a remainder of
Therefore,
Calculate the value of $62 \div 5.$
a
|
$12$ |
b
|
$12.4$ |
c
|
$12.2$ |
d
|
$12.6$ |
e
|
$126$ |
Calculate the value of $33 \div 6 .$
a
|
$6.3$ |
b
|
$5.5$ |
c
|
$5.7$ |
d
|
$5.8$ |
e
|
$6.5$ |
Find
We start by going through the long division procedure as usual:
Notice that the remainder is less than the divisor , but we can proceed further by adding a after the decimal point in the dividend. We also add a decimal point in the quotient, as shown below:
Now we complete the division, as usual, adding more zeros as needed but stopping once we obtain a remainder of
Therefore,
Find $78 \div 8.$
a
|
$9.75$ |
b
|
$8.95$ |
c
|
$8.75$ |
d
|
$9.25$ |
e
|
$9.05$ |
Find $41 \div 4.$
a
|
$10.75$ |
b
|
$11.25$ |
c
|
$10.35$ |
d
|
$10.55$ |
e
|
$10.25$ |
What is
We start by going through the long division procedure as usual:
Notice that the remainder is less than the divisor , but we can proceed further by adding a after the decimal point in the dividend. We also add a decimal point in the quotient, as shown below:
Now we complete the division, as usual, adding more zeros as needed but stopping once we obtain a remainder of
Therefore,
What is $97 \div 8?$
a
|
$11.125$ |
b
|
$11.625$ |
c
|
$12.625$ |
d
|
$12.175$ |
e
|
$12.125$ |
What is $25 \div 8?$
a
|
$3.125$ |
b
|
$3.215$ |
c
|
$3.135$ |
d
|
$3.175$ |
e
|
$2.175$ |
Cameron spent in five days. If she spent an equal amount each day, how much did Cameron spend per day?
To determine the amount Cameron spent each day, we need to divide by
We start by going through the long division procedure as usual:
Notice that the remainder is less than the divisor But we can proceed further by adding a after the decimal point in the dividend. We also add a decimal point in the quotient, as shown below:
Now we complete the division, as usual, stopping once we obtain a remainder of
Therefore,
We conclude that Cameron spent each day.
A bottle contains $9$ ounces of vanilla extract. Maggy wants to divide the contents of the bottle into $4$ equal parts to make ice cream. How many ounces of vanilla extract will there be in each part?
a
|
$2.25$ ounces |
b
|
$1.75$ ounces |
c
|
$2.15$ ounces |
d
|
$2.75$ ounces |
e
|
$2.05$ ounces |
Martha needs to cut a piece of ribbon that is $9$ inches long into $6$ smaller pieces of equal length. How long should each piece be?
a
|
$1.5$ inches |
b
|
$1.6$ inches |
c
|
$1.25$ inches |
d
|
$1.4$ inches |
e
|
$1.3$ inches |