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Pre-Algebra : Multiplicative Identity Property

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Example Questions

Example Question #1 : Multiplicative Identity Property

What property can be applied to the following expression?

$\frac{x}{\sqrt{5}} \times 1 = \frac{x}{\sqrt{5}}$

Possible Answers:

Commutative of Addition

Distributive Law

Multiplicative Identity

Associative of Multiplication

Multiplicative Inverse

Correct answer:

Multiplicative Identity

Explanation:

The rule for Multiplicative Identity Property is $a \times 1 = a$

Expression given in the question is: $\frac{x}{\sqrt{5}} \times 1 = \frac{x}{\sqrt{5}}$

Hence the property is Multiplicative Identity.

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Example Question #2 : Multiplicative Identity Property

Which of the following demonstrates the multiplicative inverse property?

Possible Answers:

$7\times1=7$

$\frac{1}{4}\times 4=1$

$(4\times2)\times3=4\times(2\times3)$

$3\times2=2\times3$

Correct answer:

$\frac{1}{4}\times 4=1$

Explanation:

The multiplicative inverse property states that for some value ,

$n\times \frac{1}{n}=1$ .

Therefore, the statement demonstrating the multiplicative inverse property is

$\frac{1}{4}\times4=1$ .

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Example Question #2 : Multiplicative Identity Property

Which of the following statements demonstrates the identity property of multiplication?

Possible Answers:

$\left (\frac{2}{3} \times \frac{5}{7} \right ) \times \frac{6}{11} = \frac{2}{3} \times\left ( \frac{5}{7} \times \frac{6}{11} \right )$

$\frac{2}{3} \times \frac{3}{2} = 1$

$\frac{2}{3} \times \frac{5}{7} = \frac{5}{7} \times \frac{2}{3}$

None of the examples in the other responses demonstrates the identity property of multiplication.

$\frac{2}{3} \times 1 = \frac{2}{3}$

Correct answer:

$\frac{2}{3} \times 1 = \frac{2}{3}$

Explanation:

The identity property of multiplication states that there is a number 1, called the multiplicative identity, that can be multiplied by any number to obtain that number. Of the four statements,

$\frac{2}{3} \times 1 = \frac{2}{3}$

demonstrates this property.

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Example Question #4 : Multiplicative Identity Property

Which property does the equation below represent?

$\frac{8}{21} * 1 = \frac{8}{21}$

Possible Answers:

Communitive Property of Multiplication

Associative Property of Multiplication

Distributive Property

Multiplicative Identity Property

Zero Property of Multiplication

Correct answer:

Multiplicative Identity Property

Explanation:

When something is multiplied by the number one it remains the same number. Therefore when multiplying by one it creates its own identity.

Multiplicative Identity Property

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Example Question #4 : Multiplicative Identity Property

Which equation shows an example of the multiplicative identity property?

Possible Answers:

(7 * 5) * 2 =

32 * 0 =

64r * 1 =

2 * 4 * 6 =

8 + (6 + 12) =

Correct answer:

64r * 1 =

Explanation:

The multiplicative identity property means that when something is multiplied by 1 then it will remain the same as the other number.

64r * 1 = 64r

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Example Question #1 : Multiplicative Identity Property

Which of the following displays the multiplicative identity property?

Possible Answers:

$a \cdot 0 = 0$

$a \cdot 1 = a$

$a \cdot b = ab$

$a \cdot b = b \cdot a$

$a (b \cdot c) = (a \cdot b) \cdot (a \cdot c)$

Correct answer:

$a \cdot 1 = a$

Explanation:

The multiplicative identity property states that when you multiply a number by 1, the answer is the original number.

Therefore,

$a \cdot 1 = a$

displays the multiplicative identity property.

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Pre-Algebra : Multiplicative Identity Property

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