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del with Math Find each quotient and plot it on the number line ich of the expressions are undefined?
÷ 4 21 7 4 ÷ 0 25 ÷ ( 5 ) 36 9 9 0 0 ÷ -:4quad(-21)/(-7)quad-4-:0quad-25-:(-5)quad(36)/(-9)quad(9)/(0)0-:
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To determine which of the expressions are undefined and plot the remaining quotients on a number line, we need to evaluate each expression.
We have:
x 4 (Quotient, where x is any number) 21 7 = 3 (Quotient of two negative numbers) 4 ÷ 0 is undefined 25 ÷ ( 5 ) = 5 (Quotient of two negative numbers) 36 9 = 4 (Quotient of a positive and a negative number) 9 0 is undefined 0 ÷ x = 0 (Quotient, where x is any non-zero number) {:[(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 9 0 (9)/(0). The remaining quotients are:
3 , 5 , 4 , 0. 3,5,-4,0.
We can plot these on a number line (not to scale) as follows:
4 0 --- --- --- 3 5 4 [,-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.
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