Math / Numbers & Operations

QuestionDivide. Give the exact answer, written as a decimal. $\square$ 5 \longdiv { 7 . 8 } Submit

Studdy Solution

STEP 1

What is this asking? We need to divide $7.8$ by $5$ and write the result as a decimal. Watch out! Don't forget to carefully place the decimal point in your answer!

STEP 2

1. Set up the long division
2. Perform the division

STEP 3

Alright, let's set up our long division problem!
We're dividing $7.8$ by $5$ , so we write $5$ outside the division bracket and $7.8$ inside.
We're going to treat this initially like $78$ divided by $5$ , and then we'll deal with the decimal at the end.
5 \longdiv { 7 . 8 }

STEP 4

How many times does $5$ go into $7$ ?
Well, $5$ goes into $7$ one time! $1 \cdot 5 = 5$ , so we write a $1$ above the $7$ and subtract $5$ from $7$ .
$\begin{array}{cc} 1 \\ 5 & 7.8 \\ 5 \\ 2 \end{array}$

STEP 5

$7 - 5 = 2$ , so we have a remainder of $2$ .
Now, we bring down the $8$ next to the $2$ , giving us $28$ .
$\begin{array}{cc} 1 \\ 5 & 7.8 \\ 5 \\ 28 \end{array}$

STEP 6

How many times does $5$ go into $28$ ? $5$ goes into $28$ five times! $5 \cdot 5 = 25$ , so we write a $5$ above the $8$ and subtract $25$ from $28$ .
$\begin{array}{cc} 1.5 \\ 5 & 7.8 \\ 5 \\ 28 \\ 25 \\ 3 \end{array}$

STEP 7

We have a remainder of $3$ .
Since we're working with decimals, we can add a zero to the end of $7.8$ to make it $7.80$ , and bring down the zero.
Now we have $30$ .
$\begin{array}{c} 1.5 \\ 5 & 7.80 \\ 5 \\ 28 \\ 25 \\ 30 \end{array}$

STEP 8

How many times does $5$ go into $30$ ? $5$ goes into $30$ exactly six times! $5 \cdot 6 = 30$ , so we write a $6$ above the $0$ and subtract $30$ from $30$ .
$\begin{array}{c} 1.56 \\ 5 \\ 28 \\ 25 \\ 30 \\ 30 \\ 0 \end{array}$

STEP 9

We have a remainder of $0$ , so we're done!
Don't forget to put the decimal point in the correct place in our answer.
Since there's one decimal place in $7.8$ , there should be one decimal place in our answer.

STEP 10

$7.8$ divided by $5$ is $1.56$ .

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QuestionDivide. Give the exact answer, written as a decimal. $\square$ 5 \longdiv { 7 . 8 } Submit

Studdy Solution

STEP 1

What is this asking? We need to divide $7.8$ by $5$ and write the result as a decimal. Watch out! Don't forget to carefully place the decimal point in your answer!

STEP 2

1. Set up the long division
2. Perform the division

STEP 3

Alright, let's set up our long division problem!
We're dividing $7.8$ by $5$ , so we write $5$ outside the division bracket and $7.8$ inside.
We're going to treat this initially like $78$ divided by $5$ , and then we'll deal with the decimal at the end.
5 \longdiv { 7 . 8 }

STEP 4

How many times does $5$ go into $7$ ?
Well, $5$ goes into $7$ one time! $1 \cdot 5 = 5$ , so we write a $1$ above the $7$ and subtract $5$ from $7$ .
$\begin{array}{cc} 1 \\ 5 & 7.8 \\ 5 \\ 2 \end{array}$

STEP 5

$7 - 5 = 2$ , so we have a remainder of $2$ .
Now, we bring down the $8$ next to the $2$ , giving us $28$ .
$\begin{array}{cc} 1 \\ 5 & 7.8 \\ 5 \\ 28 \end{array}$

STEP 6

How many times does $5$ go into $28$ ? $5$ goes into $28$ five times! $5 \cdot 5 = 25$ , so we write a $5$ above the $8$ and subtract $25$ from $28$ .
$\begin{array}{cc} 1.5 \\ 5 & 7.8 \\ 5 \\ 28 \\ 25 \\ 3 \end{array}$

STEP 7

We have a remainder of $3$ .
Since we're working with decimals, we can add a zero to the end of $7.8$ to make it $7.80$ , and bring down the zero.
Now we have $30$ .
$\begin{array}{c} 1.5 \\ 5 & 7.80 \\ 5 \\ 28 \\ 25 \\ 30 \end{array}$

STEP 8

How many times does $5$ go into $30$ ? $5$ goes into $30$ exactly six times! $5 \cdot 6 = 30$ , so we write a $6$ above the $0$ and subtract $30$ from $30$ .
$\begin{array}{c} 1.56 \\ 5 \\ 28 \\ 25 \\ 30 \\ 30 \\ 0 \end{array}$

STEP 9

We have a remainder of $0$ , so we're done!
Don't forget to put the decimal point in the correct place in our answer.
Since there's one decimal place in $7.8$ , there should be one decimal place in our answer.

STEP 10

$7.8$ divided by $5$ is $1.56$ .

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QuestionDivide. Give the exact answer, written as a decimal. □\square□ 5 \longdiv { 7 . 8 } Submit

Studdy Solution

STEP 1

What is this asking? We need to divide 7.87.87.8 by 555 and write the result as a decimal. Watch out! Don't forget to carefully place the decimal point in your answer!

STEP 2

1. Set up the long division2. Perform the division

STEP 3

Alright, let's **set up** our long division problem!We're dividing 7.87.87.8 by 555, so we write 555 outside the division bracket and 7.87.87.8 inside.We're going to treat this initially like 787878 divided by 555, and then we'll deal with the decimal at the end.5 \longdiv { 7 . 8 }

STEP 4

How many times does 555 go into 777?Well, 555 goes into 777 **one** time! 1⋅5=51 \cdot 5 = 51⋅5=5, so we write a 111 above the 777 and subtract 555 from 777.157.852\begin{array}{cc} 1 \\ 5 & 7.8 \\ 5 \\ 2 \end{array}1552​7.8

STEP 5

7−5=27 - 5 = 27−5=2, so we have a **remainder** of 222.Now, we bring down the 888 next to the 222, giving us 282828.157.8528\begin{array}{cc} 1 \\ 5 & 7.8 \\ 5 \\ 28 \end{array}15528​7.8

STEP 6

How many times does 555 go into 282828? 555 goes into 282828 **five** times! 5⋅5=255 \cdot 5 = 255⋅5=25, so we write a 555 above the 888 and subtract 252525 from 282828.1.557.8528253\begin{array}{cc} 1.5 \\ 5 & 7.8 \\ 5 \\ 28 \\ 25 \\ 3 \end{array}1.55528253​7.8

STEP 7

We have a remainder of 333.Since we're working with decimals, we can add a zero to the end of 7.87.87.8 to make it 7.807.807.80, and bring down the zero.Now we have 303030.1.557.805282530\begin{array}{c} 1.5 \\ 5 & 7.80 \\ 5 \\ 28 \\ 25 \\ 30 \end{array}1.555282530​7.80

STEP 8

How many times does 555 go into 303030? 555 goes into 303030 exactly **six** times! 5⋅6=305 \cdot 6 = 305⋅6=30, so we write a 666 above the 000 and subtract 303030 from 303030.1.565282530300\begin{array}{c} 1.56 \\ 5 \\ 28 \\ 25 \\ 30 \\ 30 \\ 0 \end{array}1.565282530300​

STEP 9

We have a remainder of 000, so we're done!Don't forget to put the decimal point in the correct place in our answer.Since there's one decimal place in 7.87.87.8, there should be one decimal place in our answer.

STEP 10

7.87.87.8 divided by 555 is **1.561.561.56**.

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QuestionDivide. Give the exact answer, written as a decimal. $\square$ 5 \longdiv { 7 . 8 } Submit

What is this asking? We need to divide $7.8$ by $5$ and write the result as a decimal. Watch out! Don't forget to carefully place the decimal point in your answer!

1. Set up the long division
2. Perform the division

Alright, let's set up our long division problem!
We're dividing $7.8$ by $5$ , so we write $5$ outside the division bracket and $7.8$ inside.
We're going to treat this initially like $78$ divided by $5$ , and then we'll deal with the decimal at the end.
5 \longdiv { 7 . 8 }

How many times does $5$ go into $7$ ?
Well, $5$ goes into $7$ one time! $1 \cdot 5 = 5$ , so we write a $1$ above the $7$ and subtract $5$ from $7$ .
$\begin{array}{cc} 1 \\ 5 & 7.8 \\ 5 \\ 2 \end{array}$

$7 - 5 = 2$ , so we have a remainder of $2$ .
Now, we bring down the $8$ next to the $2$ , giving us $28$ .
$\begin{array}{cc} 1 \\ 5 & 7.8 \\ 5 \\ 28 \end{array}$

How many times does $5$ go into $28$ ? $5$ goes into $28$ five times! $5 \cdot 5 = 25$ , so we write a $5$ above the $8$ and subtract $25$ from $28$ .
$\begin{array}{cc} 1.5 \\ 5 & 7.8 \\ 5 \\ 28 \\ 25 \\ 3 \end{array}$

We have a remainder of $3$ .
Since we're working with decimals, we can add a zero to the end of $7.8$ to make it $7.80$ , and bring down the zero.
Now we have $30$ .
$\begin{array}{c} 1.5 \\ 5 & 7.80 \\ 5 \\ 28 \\ 25 \\ 30 \end{array}$

How many times does $5$ go into $30$ ? $5$ goes into $30$ exactly six times! $5 \cdot 6 = 30$ , so we write a $6$ above the $0$ and subtract $30$ from $30$ .
$\begin{array}{c} 1.56 \\ 5 \\ 28 \\ 25 \\ 30 \\ 30 \\ 0 \end{array}$

We have a remainder of $0$ , so we're done!
Don't forget to put the decimal point in the correct place in our answer.
Since there's one decimal place in $7.8$ , there should be one decimal place in our answer.

$7.8$ divided by $5$ is $1.56$ .