QuestionEvaluate the following expressions: $0 \div 9$ and $\frac{8}{0}$ . Click "Undefined" if applicable.

Studdy Solution

STEP 1

Assumptions1. We are asked to evaluate two expressions $0 \div9$ and $\frac{8}{0}$ . . Division by zero is undefined in mathematics.

STEP 2

First, let's evaluate the first expression $0 \div9$ .

STEP 3

In mathematics, any number divided by9 is equivalent to multiplying that number by the reciprocal of9, which is $\frac{1}{9}$ . So, $0 \div9$ can be written as $0 \times \frac{1}{9}$ .

STEP 4

Now, calculate the value of $0 \times \frac{1}{9}$ .
$0 \times \frac{1}{9} =0$

STEP 5

So, $0 \div9 =0$ .

STEP 6

Now, let's evaluate the second expression $\frac{8}{0}$ .

STEP 7

In mathematics, division by zero is undefined. Therefore, $\frac{}{0}$ is undefined.
The evaluated expressions are $\begin{array}{r} 0 \div9=0\\\frac{}{0}= Undefined\end{array}$

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QuestionEvaluate the following expressions: $0 \div 9$ and $\frac{8}{0}$ . Click "Undefined" if applicable.

Studdy Solution

STEP 1

Assumptions1. We are asked to evaluate two expressions $0 \div9$ and $\frac{8}{0}$ . . Division by zero is undefined in mathematics.

STEP 2

First, let's evaluate the first expression $0 \div9$ .

STEP 3

In mathematics, any number divided by9 is equivalent to multiplying that number by the reciprocal of9, which is $\frac{1}{9}$ . So, $0 \div9$ can be written as $0 \times \frac{1}{9}$ .

STEP 4

Now, calculate the value of $0 \times \frac{1}{9}$ .
$0 \times \frac{1}{9} =0$

STEP 5

So, $0 \div9 =0$ .

STEP 6

Now, let's evaluate the second expression $\frac{8}{0}$ .

STEP 7

In mathematics, division by zero is undefined. Therefore, $\frac{}{0}$ is undefined.
The evaluated expressions are $\begin{array}{r} 0 \div9=0\\\frac{}{0}= Undefined\end{array}$

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QuestionEvaluate the following expressions: 0÷90 \div 90÷9 and 80\frac{8}{0}08​. Click "Undefined" if applicable.

Studdy Solution

STEP 1

Assumptions1. We are asked to evaluate two expressions 0÷90 \div90÷9 and 80\frac{8}{0}08​. . Division by zero is undefined in mathematics.

STEP 2

First, let's evaluate the first expression 0÷90 \div90÷9.

STEP 3

In mathematics, any number divided by9 is equivalent to multiplying that number by the reciprocal of9, which is 19\frac{1}{9}91​. So, 0÷90 \div90÷9 can be written as 0×190 \times \frac{1}{9}0×91​.

STEP 4

Now, calculate the value of 0×190 \times \frac{1}{9}0×91​.0×19=00 \times \frac{1}{9} =00×91​=0

STEP 5

So, 0÷9=00 \div9 =00÷9=0.

STEP 6

Now, let's evaluate the second expression 80\frac{8}{0}08​.

STEP 7

In mathematics, division by zero is undefined. Therefore, 0\frac{}{0}0​ is undefined.The evaluated expressions are0÷9=00=Undefined\begin{array}{r} 0 \div9=0\\\frac{}{0}= Undefined\end{array} 0÷9=00​=Undefined​

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QuestionEvaluate the following expressions: $0 \div 9$ and $\frac{8}{0}$ . Click "Undefined" if applicable.

Assumptions1. We are asked to evaluate two expressions $0 \div9$ and $\frac{8}{0}$ . . Division by zero is undefined in mathematics.

First, let's evaluate the first expression $0 \div9$ .

In mathematics, any number divided by9 is equivalent to multiplying that number by the reciprocal of9, which is $\frac{1}{9}$ . So, $0 \div9$ can be written as $0 \times \frac{1}{9}$ .

Now, calculate the value of $0 \times \frac{1}{9}$ .
$0 \times \frac{1}{9} =0$

So, $0 \div9 =0$ .

Now, let's evaluate the second expression $\frac{8}{0}$ .

In mathematics, division by zero is undefined. Therefore, $\frac{}{0}$ is undefined.
The evaluated expressions are $\begin{array}{r} 0 \div9=0\\\frac{}{0}= Undefined\end{array}$