Which Statement Can Be Represented By The Equation 18 ÷ M = 7.2 18 \div M = 7.2 18 ÷ M = 7.2 ?A. A Number, M M M , Less Than 18 Is Seven Point Two.B. Eighteen Decreased By A Number, M M M , Is Seven Point Two.C. A Number, M M M , Divided By 18 Is

Understanding the Equation: A Guide to Solving for m

In mathematics, equations are used to represent relationships between variables. One of the most common types of equations is the division equation, which involves dividing one number by another. In this article, we will explore the equation $18 \div m = 7.2$ and determine which statement can be represented by it.

The Equation: $18 \div m = 7.2$

The equation $18 \div m = 7.2$ is a division equation, where 18 is being divided by a variable $m$, and the result is equal to 7.2. To solve for $m$, we need to isolate the variable on one side of the equation.

Solving for m

To solve for $m$, we can start by multiplying both sides of the equation by $m$. This will eliminate the division sign and allow us to isolate $m$.

$$18 \div m = 7.2$$

$$\frac{18}{m} = 7.2$$

$$18 = 7.2m$$

Now, we can divide both sides of the equation by 7.2 to solve for $m$.

$$\frac{18}{7.2} = m$$

$$m = 2.5$$

Which Statement Can Be Represented by the Equation?

Now that we have solved for $m$, we can determine which statement can be represented by the equation.

A. A number, $m$, less than 18 is seven point two.

This statement is not accurate, as we have found that $m$ is equal to 2.5, which is not less than 18.

B. Eighteen decreased by a number, $m$, is seven point two.

This statement is also not accurate, as we have found that $m$ is equal to 2.5, which is not the number that is being subtracted from 18.

C. A number, $m$, divided by 18 is seven point two.

This statement is accurate, as we have found that $m$ is equal to 2.5, and when we divide 2.5 by 18, we get 7.2.

In conclusion, the equation $18 \div m = 7.2$ can be represented by the statement "A number, $m$, divided by 18 is seven point two." This statement accurately reflects the relationship between the variables in the equation.

Here are a few additional examples of division equations and how to solve for the variable.

Example 1: $24 \div x = 6$

To solve for $x$, we can start by multiplying both sides of the equation by $x$.

$$24 \div x = 6$$

$$\frac{24}{x} = 6$$

$$24 = 6x$$

Now, we can divide both sides of the equation by 6 to solve for $x$.

$$\frac{24}{6} = x$$

$$x = 4$$

Example 2: $36 \div y = 9$

To solve for $y$, we can start by multiplying both sides of the equation by $y$.

$$36 \div y = 9$$

$$\frac{36}{y} = 9$$

$$36 = 9y$$

Now, we can divide both sides of the equation by 9 to solve for $y$.

$$\frac{36}{9} = y$$

$$y = 4$$

Here are a few tips and tricks for solving division equations.

• Make sure to isolate the variable on one side of the equation.
• Use multiplication and division to eliminate the division sign.
• Check your work by plugging the solution back into the original equation.

By following these tips and tricks, you can become proficient in solving division equations and understanding the relationships between variables.
Frequently Asked Questions: Division Equations

In our previous article, we explored the equation $18 \div m = 7.2$ and determined which statement can be represented by it. In this article, we will answer some frequently asked questions about division equations.

Q: What is a division equation?

A division equation is an equation that involves dividing one number by another. It is a type of algebraic equation that can be used to represent relationships between variables.

Q: How do I solve a division equation?

To solve a division equation, you need to isolate the variable on one side of the equation. You can do this by multiplying both sides of the equation by the variable, and then dividing both sides by the number that is being divided by.

Q: What is the difference between a division equation and a multiplication equation?

A division equation involves dividing one number by another, while a multiplication equation involves multiplying one number by another. For example, the equation $18 \div m = 7.2$ is a division equation, while the equation $18 \times m = 126$ is a multiplication equation.

Q: Can I use a calculator to solve a division equation?

Yes, you can use a calculator to solve a division equation. However, it is always a good idea to check your work by plugging the solution back into the original equation.

Q: What if I have a division equation with a variable on both sides?

If you have a division equation with a variable on both sides, you can use the distributive property to simplify the equation. For example, the equation $x \div (x + 2) = 3$ can be simplified by multiplying both sides by $(x + 2)$.

Q: Can I use a division equation to represent a real-world situation?

Yes, you can use a division equation to represent a real-world situation. For example, the equation $18 \div m = 7.2$ can be used to represent the situation where 18 is being divided into 7.2 equal parts.

Q: How do I know if a division equation is true or false?

To determine if a division equation is true or false, you can plug the solution back into the original equation. If the equation is true, then the solution is correct. If the equation is false, then the solution is incorrect.

Q: Can I use a division equation to solve a problem that involves fractions?

Yes, you can use a division equation to solve a problem that involves fractions. For example, the equation $\frac{1}{2} \div x = \frac{1}{6}$ can be used to solve a problem that involves dividing a fraction by a variable.

In conclusion, division equations are an important type of algebraic equation that can be used to represent relationships between variables. By understanding how to solve division equations, you can become proficient in solving a wide range of mathematical problems.

Here are a few additional resources that you can use to learn more about division equations.

• Khan Academy: Division Equations
• Mathway: Division Equations
• Wolfram Alpha: Division Equations

By using these resources, you can gain a deeper understanding of division equations and how to solve them.

Here are a few practice problems that you can use to test your understanding of division equations.

Problem 1: $24 \div x = 6$

To solve for $x$, you can start by multiplying both sides of the equation by $x$.

$$24 \div x = 6$$

$$\frac{24}{x} = 6$$

$$24 = 6x$$

Now, you can divide both sides of the equation by 6 to solve for $x$.

$$\frac{24}{6} = x$$

$$x = 4$$

Problem 2: $36 \div y = 9$

To solve for $y$, you can start by multiplying both sides of the equation by $y$.

$$36 \div y = 9$$

$$\frac{36}{y} = 9$$

$$36 = 9y$$

Now, you can divide both sides of the equation by 9 to solve for $y$.

$$\frac{36}{9} = y$$

$$y = 4$$

By solving these practice problems, you can test your understanding of division equations and become proficient in solving them.