Answer :
- Divide both sides of the equation $16h = 38.4$ by 16.
- Simplify the equation to isolate $h$: $h = \frac{38.4}{16}$.
- Calculate the value of $h$: $h = 2.4$.
- The solution is $\boxed{2.4}$.
### Explanation
1. Understanding the Problem
We are given the equation $16h = 38.4$ and asked to find the correct procedure to solve for $h$ and the solution. To isolate $h$, we need to perform the inverse operation of multiplication, which is division. We must perform the same operation on both sides of the equation to maintain equality. Therefore, we need to divide both sides of the equation by 16.
2. Isolating the Variable
To solve the equation $16h = 38.4$, we need to isolate the variable $h$. Since $h$ is multiplied by 16, we divide both sides of the equation by 16:$$\frac{16h}{16} = \frac{38.4}{16}$$
3. Calculating the Solution
Simplifying the left side of the equation, we get:$$h = \frac{38.4}{16}$$Now, we divide 38.4 by 16:$$h = 2.4$$
4. Final Answer
Therefore, the correct procedure is to divide both sides by 16, and the solution is $h = 2.4$.
### Examples
In real life, this type of problem can be used to determine the cost of a single item when you know the total cost of multiple identical items. For example, if 16 identical books cost $38.4, this equation helps you find the cost of one book. Understanding how to solve such equations allows you to easily calculate unit prices, which is useful for budgeting and making informed purchasing decisions. This skill is applicable in various scenarios, from grocery shopping to managing business expenses.
- Simplify the equation to isolate $h$: $h = \frac{38.4}{16}$.
- Calculate the value of $h$: $h = 2.4$.
- The solution is $\boxed{2.4}$.
### Explanation
1. Understanding the Problem
We are given the equation $16h = 38.4$ and asked to find the correct procedure to solve for $h$ and the solution. To isolate $h$, we need to perform the inverse operation of multiplication, which is division. We must perform the same operation on both sides of the equation to maintain equality. Therefore, we need to divide both sides of the equation by 16.
2. Isolating the Variable
To solve the equation $16h = 38.4$, we need to isolate the variable $h$. Since $h$ is multiplied by 16, we divide both sides of the equation by 16:$$\frac{16h}{16} = \frac{38.4}{16}$$
3. Calculating the Solution
Simplifying the left side of the equation, we get:$$h = \frac{38.4}{16}$$Now, we divide 38.4 by 16:$$h = 2.4$$
4. Final Answer
Therefore, the correct procedure is to divide both sides by 16, and the solution is $h = 2.4$.
### Examples
In real life, this type of problem can be used to determine the cost of a single item when you know the total cost of multiple identical items. For example, if 16 identical books cost $38.4, this equation helps you find the cost of one book. Understanding how to solve such equations allows you to easily calculate unit prices, which is useful for budgeting and making informed purchasing decisions. This skill is applicable in various scenarios, from grocery shopping to managing business expenses.
