Math / Numbers & Operations

QuestionDivide. Give the exact answer, written as a decimal. $\square$ 5 \longdiv { 2 6 . 4 5 }
Submit

Studdy Solution

STEP 1

What is this asking? We need to divide $26.45$ by $5$ and write the result as a decimal. Watch out! Keep those decimal places lined up!

STEP 2

1. Divide the Whole Number Part
2. Divide the Decimal Part
3. Combine and Celebrate

STEP 3

Alright, let's divide the whole number part of $26.45$ which is $26$ , by $5$ .
We're doing this first because it helps us get the ball rolling and see how many whole number times $5$ goes into $26$ .

STEP 4

$26 \div 5 = 5 \text{ with a remainder of } 1$ So, $5$ goes into $26$ five whole times, with a remainder of $1$ .
This means $5 \cdot 5 = 25$ , and $26 - 25 = 1$ .
Hold on to that remainder $1$ , it's important!

STEP 5

Now, let's bring down the decimal point.
This is crucial because we want our answer to be a decimal too.

STEP 6

Remember that remainder of $1$ ?
Let's combine it with the first decimal digit, which is $4$ .
This gives us $14$ .
Now, we divide $14$ by $5$ .

STEP 7

$14 \div 5 = 2 \text{ with a remainder of } 4$ So, $5$ goes into $14$ two times with a remainder of $4$ .
This means $5 \cdot 2 = 10$ , and $14 - 10 = 4$ .

STEP 8

Next, bring down the last digit, which is $5$ , and combine it with our remainder $4$ to get $45$ .
Let's divide $45$ by $5$ .

STEP 9

$45 \div 5 = 9$ Perfect! $5$ goes into $45$ exactly nine times.

STEP 10

Let's put it all together!
We have $5$ as our whole number, then the decimal point, then $2$ , and finally $9$ .

STEP 11

So, our final answer is $5.29$ !

STEP 12

$5.29$

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QuestionDivide. Give the exact answer, written as a decimal. $\square$ 5 \longdiv { 2 6 . 4 5 }
Submit

Studdy Solution

STEP 1

What is this asking? We need to divide $26.45$ by $5$ and write the result as a decimal. Watch out! Keep those decimal places lined up!

STEP 2

1. Divide the Whole Number Part
2. Divide the Decimal Part
3. Combine and Celebrate

STEP 3

Alright, let's divide the whole number part of $26.45$ which is $26$ , by $5$ .
We're doing this first because it helps us get the ball rolling and see how many whole number times $5$ goes into $26$ .

STEP 4

$26 \div 5 = 5 \text{ with a remainder of } 1$ So, $5$ goes into $26$ five whole times, with a remainder of $1$ .
This means $5 \cdot 5 = 25$ , and $26 - 25 = 1$ .
Hold on to that remainder $1$ , it's important!

STEP 5

Now, let's bring down the decimal point.
This is crucial because we want our answer to be a decimal too.

STEP 6

Remember that remainder of $1$ ?
Let's combine it with the first decimal digit, which is $4$ .
This gives us $14$ .
Now, we divide $14$ by $5$ .

STEP 7

$14 \div 5 = 2 \text{ with a remainder of } 4$ So, $5$ goes into $14$ two times with a remainder of $4$ .
This means $5 \cdot 2 = 10$ , and $14 - 10 = 4$ .

STEP 8

Next, bring down the last digit, which is $5$ , and combine it with our remainder $4$ to get $45$ .
Let's divide $45$ by $5$ .

STEP 9

$45 \div 5 = 9$ Perfect! $5$ goes into $45$ exactly nine times.

STEP 10

Let's put it all together!
We have $5$ as our whole number, then the decimal point, then $2$ , and finally $9$ .

STEP 11

So, our final answer is $5.29$ !

STEP 12

$5.29$

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QuestionDivide. Give the exact answer, written as a decimal. □\square□ 5 \longdiv { 2 6 . 4 5 }Submit

Studdy Solution

STEP 1

What is this asking? We need to divide 26.4526.4526.45 by 555 and write the result as a decimal. Watch out! Keep those decimal places lined up!

STEP 2

1. Divide the Whole Number Part2. Divide the Decimal Part3. Combine and Celebrate

STEP 3

Alright, let's **divide** the whole number part of 26.4526.4526.45 which is 262626, by 555.We're doing this first because it helps us get the ball rolling and see how many whole number times 555 goes into 262626.

STEP 4

STEP 5

Now, let's bring down the decimal point.This is crucial because we want our answer to be a decimal too.

STEP 6

Remember that **remainder** of 111?Let's combine it with the first decimal digit, which is 444.This gives us 141414.Now, we **divide** 141414 by 555.

STEP 7

14÷5=2 with a remainder of 4 14 \div 5 = 2 \text{ with a remainder of } 4 14÷5=2 with a remainder of 4 So, 555 goes into 141414 **two** times with a remainder of 444.This means 5⋅2=105 \cdot 2 = 105⋅2=10, and 14−10=414 - 10 = 414−10=4.

STEP 8

Next, bring down the last digit, which is 555, and combine it with our **remainder** 444 to get 454545.Let's **divide** 454545 by 555.

STEP 9

45÷5=9 45 \div 5 = 9 45÷5=9 Perfect! 555 goes into 454545 exactly **nine** times.

STEP 10

Let's put it all together!We have 555 as our whole number, then the decimal point, then 222, and finally 999.

STEP 11

So, our **final answer** is 5.295.295.29!

STEP 12

5.295.295.29

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Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionDivide. Give the exact answer, written as a decimal. $\square$ 5 \longdiv { 2 6 . 4 5 }
Submit

What is this asking? We need to divide $26.45$ by $5$ and write the result as a decimal. Watch out! Keep those decimal places lined up!

1. Divide the Whole Number Part
2. Divide the Decimal Part
3. Combine and Celebrate

Alright, let's divide the whole number part of $26.45$ which is $26$ , by $5$ .
We're doing this first because it helps us get the ball rolling and see how many whole number times $5$ goes into $26$ .

Now, let's bring down the decimal point.
This is crucial because we want our answer to be a decimal too.

Remember that remainder of $1$ ?
Let's combine it with the first decimal digit, which is $4$ .
This gives us $14$ .
Now, we divide $14$ by $5$ .

$14 \div 5 = 2 \text{ with a remainder of } 4$ So, $5$ goes into $14$ two times with a remainder of $4$ .
This means $5 \cdot 2 = 10$ , and $14 - 10 = 4$ .

Next, bring down the last digit, which is $5$ , and combine it with our remainder $4$ to get $45$ .
Let's divide $45$ by $5$ .

$45 \div 5 = 9$ Perfect! $5$ goes into $45$ exactly nine times.

Let's put it all together!
We have $5$ as our whole number, then the decimal point, then $2$ , and finally $9$ .

So, our final answer is $5.29$ !

$5.29$