Question
Mathematics
del with Math Find each quotient and plot it on the number line ich of the expressions are undefined?
$÷4\phantom{\rule{1em}{0ex}}\frac{-21}{-7}\phantom{\rule{1em}{0ex}}-4÷0\phantom{\rule{1em}{0ex}}-25÷\left(-5\right)\phantom{\rule{1em}{0ex}}\frac{36}{-9}\phantom{\rule{1em}{0ex}}\frac{9}{0}0÷$-:4quad(-21)/(-7)quad-4-:0quad-25-:(-5)quad(36)/(-9)quad(9)/(0)0-:
Solve problem with AI
$\begin{array}{rl}\frac{x}{4}\phantom{\rule{1em}{0ex}}& \text{(Quotient, where}x\text{is any number)}\\ \\ \frac{-21}{-7}& =3\phantom{\rule{1em}{0ex}}\text{(Quotient of two negative numbers)}\\ \\ -4÷0& \text{is undefined}\\ \\ -25÷\left(-5\right)& =5\phantom{\rule{1em}{0ex}}\text{(Quotient of two negative numbers)}\\ \\ \frac{36}{-9}& =-4\phantom{\rule{1em}{0ex}}\text{(Quotient of a positive and a negative number)}\\ \\ \frac{9}{0}& \text{is undefined}\\ \\ 0÷x& =0\phantom{\rule{1em}{0ex}}\text{(Quotient, where}x\text{is any non-zero number)}\end{array}${:[(x)/(4)quad(Quotient, where x" is any number)"],[],[(-21)/(-7)=3quad(Quotient of two negative numbers)],[],[-4-:0" is undefined"],[],[-25-:(-5)=5quad(Quotient of two negative numbers)],[],[(36)/(-9)=-4quad(Quotient of a positive and a negative number)],[],[(9)/(0)" is undefined"],[],[0-:x=0quad(Quotient, where x" is any non-zero number)"]:}
Therefore, the expressions that are undefined are $-4÷0$-4-:0 and $\frac{9}{0}$(9)/(0). The remaining quotients are:
$3,5,-4,0.$3,5,-4,0.
$\overline{)\begin{array}{cccccc}& -4& & 0& & \\ \\ \text{---}& \circ & \text{---}& \circ & \text{---}& \circ \\ \\ & & & & & \\ \\ & & 3& & 5& -4\\ \end{array}}$[,-4,,0,,],[],["---",@,"---",@,"---",@],[],[,,,,,],[],[,,3,,5,-4],[]
The circle indicates that the endpoint is not included in the interval. So, for example, the quotient $-4$-4 is between the endpoints $-4$-4 and $0$0, but $-4$-4 is not included.