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Lesson 57:

Algebra 1
Lesson 57: Algebra I 2.6B, Dividing Rational numbers with Zero (undefined answer)
Lesson 57:
Lesson 57:

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Question 1 of 10

1. Question

What is the inverse (opposite) operation of division?

Multiplication
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Subtraction
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Addition
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Exponentiation
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Question 2 of 10

2. Question

Why is dividing a non-zero number like 12 by 0 mathematically undefined?

Because zero can only divide even numbers
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Because division is not related to multiplication
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Because the quotient is too large to define
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Because no number multiplied by zero can equal a non-zero number
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Question 3 of 10

3. Question

If 12 divided by 2 equals 6, how do we use multiplication to verify this result?

12 minus 6 equals 6
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12 plus 2 equals 14
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6 times 2 equals 12
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6 divided by 12 equals 2
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Question 4 of 10

4. Question

What term is used to describe the quotient when a number is divided by zero?

Zero
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Negative
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Undefined
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Infinite
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Question 5 of 10

5. Question

What is the result of the division problem 0 divided by 12?

12
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0
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1
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Undefined
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Question 6 of 10

6. Question

Why is 0 divided by 12 a valid mathematical operation?

Because division by twelve is always undefined
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Because zero cannot be in the numerator
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Because any fraction with a twelve in it equals zero
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Because the quotient (0) times the denominator (12) equals the numerator (0)
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Question 7 of 10

7. Question

Which part of a fraction can never be equal to zero for the fraction to have a defined value?

The numerator
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The whole number coefficient
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The denominator
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The divisor sign
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Question 8 of 10

8. Question

What is the simplified value of a fraction with 0 as the numerator and 5 as the denominator?

5
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Undefined
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1
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0
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Question 9 of 10

9. Question

Consider the equation x / 0 = y. Why is there no solution for y when x is a non-zero number?

Because any number multiplied by 0 is 0, making it impossible to equal a non-zero x
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Because the variable y is not defined in algebra
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Because x must be equal to 0 for any fraction to exist
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Because division by zero always equals x
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Question 10 of 10

10. Question

In the context of division, what is the relationship between the quotient, denominator, and numerator?

The quotient plus the denominator equals the numerator
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The quotient multiplied by the denominator equals the numerator
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The numerator multiplied by the denominator equals the quotient
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The denominator minus the quotient equals the numerator
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