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Lesson 58: Algebra I #2.6c, Reciprocals & Multiplicative inverses

Algebra 1
Lesson 58: Algebra I #2.6c, Reciprocals & Multiplicative inverses
Algebra I #2.6c, Reciprocals & Multiplicative inverses
Lesson 58: Algebra I #2.6c, Reciprocals & Multiplicative inverses

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Question 1 of 10

1. Question

What is the mathematical definition of reciprocals (multiplicative inverses)?

Two numbers whose product is one.
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Two numbers whose difference is zero.
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Two numbers whose sum is zero.
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Two numbers whose quotient is negative one.
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Question 2 of 10

2. Question

What is the reciprocal of -1/4?

-4
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1/4
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1
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4
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Question 3 of 10

3. Question

Why does the number 0 have no reciprocal?

Because zero cannot be written as a fraction.
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Because multiplying by zero always equals zero, and division by zero is undefined.
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Because the reciprocal of zero is negative zero.
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Because zero is neither a positive nor a negative number.
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Question 4 of 10

4. Question

What is the reciprocal of -1?

0
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Undefined
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-1
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1
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Question 5 of 10

5. Question

How do you find the reciprocal of the decimal 0.9?

Change its sign to -0.9.
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Multiply it by 10 to get a whole number.
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Convert it to 9/10 and flip it to 10/9.
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Flip the decimal point to make it 9.0.
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Question 6 of 10

6. Question

If x and y are non-zero variables, what is the reciprocal of x/y?

-x/y
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y/x
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-y/x
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1/(xy)
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Question 7 of 10

7. Question

What is the reciprocal of -0.25?

-100/25
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-25/100
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100/25
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-4/100
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Question 8 of 10

8. Question

What is the reciprocal of x/10?

10x
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10/x
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-10/x
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x/10
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Question 9 of 10

9. Question

Which of the following formal properties correctly describes multiplicative inverses for a non-zero rational number ‘a’?

Every rational number a has a reciprocal that is positive.
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The reciprocal of a is equal to the absolute value of a.
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There is one and only one rational number 1/a such that a * (1/a) = 1.
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There is a rational number -a such that a + (-a) = 0.
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Question 10 of 10

10. Question

Which rule is always true regarding the signs of reciprocals?

The reciprocal of any rational number is always positive.
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number and its reciprocal always have the same sign.
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Only negative numbers change their sign when inverted.
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The reciprocal of a negative number is always positive.
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