Multiplicative Inverse Property - Pre-Algebra

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Question

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

Answer

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only

$\frac{6}{7} \times \frac{7}{6} = 1$

demonstrates this property.

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Question

Simplify.

$\frac{\frac{12}{c}}{\frac{3}{c^2}}$

Answer

To simplify a compound fraction, multiply the numerator by the reciprocal of the denominator. Remember that a compound fraction can easily be rewritten as a division problem!

$\frac{\frac{12}{c}}{\frac{3}{c^2}}=\frac{12}{c}\div\frac{3}{c^2}=\frac{12}{c}\times\frac{c^2}{3}$

Solve the multiplication.

$\frac{12}{c}\times\frac{c^2}{3}=\frac{12\times c^2}{c\times3}=\frac{12c^2}{3c}$

Now we need to reduce the fraction to find our final answer.

$\frac{12c^2}{3c}=\frac{3c(4c)}{3c}=4c$

Compare your answer with the correct one above

Question

What is the multiplicative inverse of $\frac{x^{2}}{x +\sqrt{3}}$ where $\left ( \frac{x^{2}}{x + \sqrt{3}} \neq 0\right )$

Answer

The rule for Multiplicative Inverse Property is $a \times \frac{1}{a} = 1$ where $\left ( a \neq 0\right )$ .

Using this rule, if

$a = \frac{x^{2}}{x + \sqrt{3}}$ ,

then $\frac{1}{a}$ is the Mulitplicative inverse, which is $\frac{1}{\frac{x^{2}}{x +\sqrt{3}}}$ .

After you simplify you get $\frac{x + \sqrt{3}}{x^{2}}$ which is the Multiplicative Inverse.

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Question

What is the multiplicative inverse of $-\frac{1}{\sqrt{x^{3}}}$ where $\left ( x > 0\right )$ ?

Answer

The rule for Multiplicative Inverse Property is

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

where $\left ( a \neq 0\right )$ .

Using this rule, if

$a = -\frac{1}{\sqrt{x^{3}}}$ ,

then $\frac{1}{a}$ is the mulitplicative inverse, which is $\frac{1}{-\frac{1}{\sqrt{x^{3}}}}$ .

After you simplify you get $-\sqrt{x^{3}}$ which is the multiplicative inverse.

Compare your answer with the correct one above

Question

Which of the following displays the multiplicative inverse property?

Answer

The mulitplicative inverse property deals with reciprocals. For example, the multiplicative inverse, or reciprocal, of the number 7 is $\frac{1}{7}$ .

The multiplicative inverse property states that a number times its multiplicative inverse equals 1.

Therefore,

$a \cdot \frac{1}{a} = 1$

displays the multiplicative inverse property.

Compare your answer with the correct one above

Question

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

Answer

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only

$\frac{6}{7} \times \frac{7}{6} = 1$

demonstrates this property.

Compare your answer with the correct one above

Question

Simplify.

$\frac{\frac{12}{c}}{\frac{3}{c^2}}$

Answer

To simplify a compound fraction, multiply the numerator by the reciprocal of the denominator. Remember that a compound fraction can easily be rewritten as a division problem!

$\frac{\frac{12}{c}}{\frac{3}{c^2}}=\frac{12}{c}\div\frac{3}{c^2}=\frac{12}{c}\times\frac{c^2}{3}$

Solve the multiplication.

$\frac{12}{c}\times\frac{c^2}{3}=\frac{12\times c^2}{c\times3}=\frac{12c^2}{3c}$

Now we need to reduce the fraction to find our final answer.

$\frac{12c^2}{3c}=\frac{3c(4c)}{3c}=4c$

Compare your answer with the correct one above

Question

What is the multiplicative inverse of $\frac{x^{2}}{x +\sqrt{3}}$ where $\left ( \frac{x^{2}}{x + \sqrt{3}} \neq 0\right )$

Answer

The rule for Multiplicative Inverse Property is $a \times \frac{1}{a} = 1$ where $\left ( a \neq 0\right )$ .

Using this rule, if

$a = \frac{x^{2}}{x + \sqrt{3}}$ ,

then $\frac{1}{a}$ is the Mulitplicative inverse, which is $\frac{1}{\frac{x^{2}}{x +\sqrt{3}}}$ .

After you simplify you get $\frac{x + \sqrt{3}}{x^{2}}$ which is the Multiplicative Inverse.

Compare your answer with the correct one above

Question

What is the multiplicative inverse of $-\frac{1}{\sqrt{x^{3}}}$ where $\left ( x > 0\right )$ ?

Answer

The rule for Multiplicative Inverse Property is

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

where $\left ( a \neq 0\right )$ .

Using this rule, if

$a = -\frac{1}{\sqrt{x^{3}}}$ ,

then $\frac{1}{a}$ is the mulitplicative inverse, which is $\frac{1}{-\frac{1}{\sqrt{x^{3}}}}$ .

After you simplify you get $-\sqrt{x^{3}}$ which is the multiplicative inverse.

Compare your answer with the correct one above

Question

Which of the following displays the multiplicative inverse property?

Answer

The mulitplicative inverse property deals with reciprocals. For example, the multiplicative inverse, or reciprocal, of the number 7 is $\frac{1}{7}$ .

The multiplicative inverse property states that a number times its multiplicative inverse equals 1.

Therefore,

$a \cdot \frac{1}{a} = 1$

displays the multiplicative inverse property.

Compare your answer with the correct one above

Question

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

Answer

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only

$\frac{6}{7} \times \frac{7}{6} = 1$

demonstrates this property.

Compare your answer with the correct one above

Question

Simplify.

$\frac{\frac{12}{c}}{\frac{3}{c^2}}$

Answer

To simplify a compound fraction, multiply the numerator by the reciprocal of the denominator. Remember that a compound fraction can easily be rewritten as a division problem!

$\frac{\frac{12}{c}}{\frac{3}{c^2}}=\frac{12}{c}\div\frac{3}{c^2}=\frac{12}{c}\times\frac{c^2}{3}$

Solve the multiplication.

$\frac{12}{c}\times\frac{c^2}{3}=\frac{12\times c^2}{c\times3}=\frac{12c^2}{3c}$

Now we need to reduce the fraction to find our final answer.

$\frac{12c^2}{3c}=\frac{3c(4c)}{3c}=4c$

Compare your answer with the correct one above

Question

What is the multiplicative inverse of $\frac{x^{2}}{x +\sqrt{3}}$ where $\left ( \frac{x^{2}}{x + \sqrt{3}} \neq 0\right )$

Answer

The rule for Multiplicative Inverse Property is $a \times \frac{1}{a} = 1$ where $\left ( a \neq 0\right )$ .

Using this rule, if

$a = \frac{x^{2}}{x + \sqrt{3}}$ ,

then $\frac{1}{a}$ is the Mulitplicative inverse, which is $\frac{1}{\frac{x^{2}}{x +\sqrt{3}}}$ .

After you simplify you get $\frac{x + \sqrt{3}}{x^{2}}$ which is the Multiplicative Inverse.

Compare your answer with the correct one above

Question

What is the multiplicative inverse of $-\frac{1}{\sqrt{x^{3}}}$ where $\left ( x > 0\right )$ ?

Answer

The rule for Multiplicative Inverse Property is

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

where $\left ( a \neq 0\right )$ .

Using this rule, if

$a = -\frac{1}{\sqrt{x^{3}}}$ ,

then $\frac{1}{a}$ is the mulitplicative inverse, which is $\frac{1}{-\frac{1}{\sqrt{x^{3}}}}$ .

After you simplify you get $-\sqrt{x^{3}}$ which is the multiplicative inverse.

Compare your answer with the correct one above

Question

Which of the following displays the multiplicative inverse property?

Answer

The mulitplicative inverse property deals with reciprocals. For example, the multiplicative inverse, or reciprocal, of the number 7 is $\frac{1}{7}$ .

The multiplicative inverse property states that a number times its multiplicative inverse equals 1.

Therefore,

$a \cdot \frac{1}{a} = 1$

displays the multiplicative inverse property.

Compare your answer with the correct one above

Question

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

Answer

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only

$\frac{6}{7} \times \frac{7}{6} = 1$

demonstrates this property.

Compare your answer with the correct one above

Question

Simplify.

$\frac{\frac{12}{c}}{\frac{3}{c^2}}$

Answer

To simplify a compound fraction, multiply the numerator by the reciprocal of the denominator. Remember that a compound fraction can easily be rewritten as a division problem!

$\frac{\frac{12}{c}}{\frac{3}{c^2}}=\frac{12}{c}\div\frac{3}{c^2}=\frac{12}{c}\times\frac{c^2}{3}$

Solve the multiplication.

$\frac{12}{c}\times\frac{c^2}{3}=\frac{12\times c^2}{c\times3}=\frac{12c^2}{3c}$

Now we need to reduce the fraction to find our final answer.

$\frac{12c^2}{3c}=\frac{3c(4c)}{3c}=4c$

Compare your answer with the correct one above

Question

What is the multiplicative inverse of $\frac{x^{2}}{x +\sqrt{3}}$ where $\left ( \frac{x^{2}}{x + \sqrt{3}} \neq 0\right )$

Answer

The rule for Multiplicative Inverse Property is $a \times \frac{1}{a} = 1$ where $\left ( a \neq 0\right )$ .

Using this rule, if

$a = \frac{x^{2}}{x + \sqrt{3}}$ ,

then $\frac{1}{a}$ is the Mulitplicative inverse, which is $\frac{1}{\frac{x^{2}}{x +\sqrt{3}}}$ .

After you simplify you get $\frac{x + \sqrt{3}}{x^{2}}$ which is the Multiplicative Inverse.

Compare your answer with the correct one above

Question

What is the multiplicative inverse of $-\frac{1}{\sqrt{x^{3}}}$ where $\left ( x > 0\right )$ ?

Answer

The rule for Multiplicative Inverse Property is

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

where $\left ( a \neq 0\right )$ .

Using this rule, if

$a = -\frac{1}{\sqrt{x^{3}}}$ ,

then $\frac{1}{a}$ is the mulitplicative inverse, which is $\frac{1}{-\frac{1}{\sqrt{x^{3}}}}$ .

After you simplify you get $-\sqrt{x^{3}}$ which is the multiplicative inverse.

Compare your answer with the correct one above

Question

Which of the following displays the multiplicative inverse property?

Answer

The mulitplicative inverse property deals with reciprocals. For example, the multiplicative inverse, or reciprocal, of the number 7 is $\frac{1}{7}$ .

The multiplicative inverse property states that a number times its multiplicative inverse equals 1.

Therefore,

$a \cdot \frac{1}{a} = 1$

displays the multiplicative inverse property.

Compare your answer with the correct one above

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Multiplicative Inverse Property - Pre-Algebra

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

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only demonstrates this property.

Simplify.

To simplify a compound fraction, multiply the numerator by the reciprocal of the denominator. Remember that a compound fraction can easily be rewritten as a division problem! Solve the multiplication. Now we need to reduce the fraction to find our final answer.

What is the multiplicative inverse of where

The rule for Multiplicative Inverse Property is where . Using this rule, if , then is the Mulitplicative inverse, which is . After you simplify you get which is the Multiplicative Inverse.

What is the multiplicative inverse of where ?

The rule for Multiplicative Inverse Property is where . Using this rule, if , then is the mulitplicative inverse, which is . After you simplify you get which is the multiplicative inverse.

Which of the following displays the multiplicative inverse property?

The mulitplicative inverse property deals with reciprocals. For example, the multiplicative inverse, or reciprocal, of the number 7 is . The multiplicative inverse property states that a number times its multiplicative inverse equals 1. Therefore, displays the multiplicative inverse property.

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

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only demonstrates this property.

Simplify.

To simplify a compound fraction, multiply the numerator by the reciprocal of the denominator. Remember that a compound fraction can easily be rewritten as a division problem! Solve the multiplication. Now we need to reduce the fraction to find our final answer.

What is the multiplicative inverse of where

The rule for Multiplicative Inverse Property is where . Using this rule, if , then is the Mulitplicative inverse, which is . After you simplify you get which is the Multiplicative Inverse.

What is the multiplicative inverse of where ?

The rule for Multiplicative Inverse Property is where . Using this rule, if , then is the mulitplicative inverse, which is . After you simplify you get which is the multiplicative inverse.

Which of the following displays the multiplicative inverse property?

The mulitplicative inverse property deals with reciprocals. For example, the multiplicative inverse, or reciprocal, of the number 7 is . The multiplicative inverse property states that a number times its multiplicative inverse equals 1. Therefore, displays the multiplicative inverse property.

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

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only demonstrates this property.

Simplify.

To simplify a compound fraction, multiply the numerator by the reciprocal of the denominator. Remember that a compound fraction can easily be rewritten as a division problem! Solve the multiplication. Now we need to reduce the fraction to find our final answer.

What is the multiplicative inverse of where

The rule for Multiplicative Inverse Property is where . Using this rule, if , then is the Mulitplicative inverse, which is . After you simplify you get which is the Multiplicative Inverse.

What is the multiplicative inverse of where ?

The rule for Multiplicative Inverse Property is where . Using this rule, if , then is the mulitplicative inverse, which is . After you simplify you get which is the multiplicative inverse.

Which of the following displays the multiplicative inverse property?

The mulitplicative inverse property deals with reciprocals. For example, the multiplicative inverse, or reciprocal, of the number 7 is . The multiplicative inverse property states that a number times its multiplicative inverse equals 1. Therefore, displays the multiplicative inverse property.

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

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only demonstrates this property.

Simplify.

To simplify a compound fraction, multiply the numerator by the reciprocal of the denominator. Remember that a compound fraction can easily be rewritten as a division problem! Solve the multiplication. Now we need to reduce the fraction to find our final answer.

What is the multiplicative inverse of where

The rule for Multiplicative Inverse Property is where . Using this rule, if , then is the Mulitplicative inverse, which is . After you simplify you get which is the Multiplicative Inverse.

What is the multiplicative inverse of where ?

The rule for Multiplicative Inverse Property is where . Using this rule, if , then is the mulitplicative inverse, which is . After you simplify you get which is the multiplicative inverse.

Which of the following displays the multiplicative inverse property?

The mulitplicative inverse property deals with reciprocals. For example, the multiplicative inverse, or reciprocal, of the number 7 is . The multiplicative inverse property states that a number times its multiplicative inverse equals 1. Therefore, displays the multiplicative inverse property.

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only

$\frac{6}{7} \times \frac{7}{6} = 1$

demonstrates this property.

Simplify.

$\frac{\frac{12}{c}}{\frac{3}{c^2}}$

What is the multiplicative inverse of $\frac{x^{2}}{x +\sqrt{3}}$ where $\left ( \frac{x^{2}}{x + \sqrt{3}} \neq 0\right )$

What is the multiplicative inverse of $-\frac{1}{\sqrt{x^{3}}}$ where $\left ( x > 0\right )$ ?

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only

$\frac{6}{7} \times \frac{7}{6} = 1$

demonstrates this property.

Simplify.

$\frac{\frac{12}{c}}{\frac{3}{c^2}}$

What is the multiplicative inverse of $\frac{x^{2}}{x +\sqrt{3}}$ where $\left ( \frac{x^{2}}{x + \sqrt{3}} \neq 0\right )$

What is the multiplicative inverse of $-\frac{1}{\sqrt{x^{3}}}$ where $\left ( x > 0\right )$ ?

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only

$\frac{6}{7} \times \frac{7}{6} = 1$

demonstrates this property.

Simplify.

$\frac{\frac{12}{c}}{\frac{3}{c^2}}$

What is the multiplicative inverse of $\frac{x^{2}}{x +\sqrt{3}}$ where $\left ( \frac{x^{2}}{x + \sqrt{3}} \neq 0\right )$

What is the multiplicative inverse of $-\frac{1}{\sqrt{x^{3}}}$ where $\left ( x > 0\right )$ ?

The inverse property of multiplication states that for every real number, a number exists, called the multiplicative inverse, such that the number and its inverse have product 1. Of the statements given, only

$\frac{6}{7} \times \frac{7}{6} = 1$

demonstrates this property.

Simplify.

$\frac{\frac{12}{c}}{\frac{3}{c^2}}$

What is the multiplicative inverse of $\frac{x^{2}}{x +\sqrt{3}}$ where $\left ( \frac{x^{2}}{x + \sqrt{3}} \neq 0\right )$

What is the multiplicative inverse of $-\frac{1}{\sqrt{x^{3}}}$ where $\left ( x > 0\right )$ ?