QuestionDivide. Give the exact answer, written as a decimal.
8 \longdiv { 1 . 1 6 }
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Studdy Solution
STEP 1
What is this asking? We need to divide by and write the result as a decimal. Watch out! Don't forget to keep track of your decimal point!
STEP 2
1. Set up the long division.
2. Perform the division.
STEP 3
We're going to **set up our long division** problem like this:
8 \longdiv { 1.16 }
This means we want to find a number that, when multiplied by , gives us .
Exciting!
STEP 4
How many times does go into ?
Zero times!
So we write a **** above the .
\begin{array}{c}
0 \\
8 \longdiv { 1.16 }
\end{array}
STEP 5
Now, we bring down the next digit, which is , to make .
How many times does go into ?
It goes in **** time.
We write the **** above the first after the decimal point.
\begin{array}{r}
0.1 \\
8 \longdiv { 1.16 }
\end{array}
, so we subtract from . .
\begin{array}{r}
0.1 \\
8 \longdiv { 1.16 } \\
\underline{-8} \\
3
\end{array}
STEP 6
Bring down the next digit, which is , to make .
How many times does go into ?
It goes in **** times!
We write the **** above the .
, so we subtract from . .
STEP 7
Since is smaller than , we add a zero to the end of our dividend () to make it (which is the same number!). Bring down the to make .
How many times does go into ?
It goes in exactly **** times!
We write the **** above the that we added.
\begin{array}{r}
0.145 \\
8 \longdiv { 1.160 } \\
-8 \\
36 \\
-32 \\
40
\end{array}
, so we subtract from . .
\begin{array}{r}
0.145 \\
8 \longdiv { 1.160 } \\
-8 \\
36 \\
-32 \\
40 \\
-40 \\
0
\end{array}
We have no remainder!
STEP 8
divided by is ****.
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