Answer:
Explanation:
To solve 54.6 divided by 12 using an area model, we can follow these steps:
Step 1: Draw a rectangle and divide it into 12 equal parts horizontally, representing the 12 in the division problem.
Step 2: Label the top of the rectangle with 54.6, the number being divided.
Step 3: Divide the rectangle into 5 equal parts vertically, representing the first digit of 54.6, which is 5.
Step 4: Shade in the first four sections of the rectangle, representing 48, which is the largest multiple of 12 that is less than 54.6.
Step 5: Divide the fifth section of the rectangle into 10 equal parts vertically, representing the decimal place in 54.6.
Step 6: Shade in 6 of the 10 parts of the fifth section, representing the remaining 6 in 54.6.
Step 7: Count the number of shaded parts in the entire rectangle. The answer is the number of shaded parts, which is 4 and 1/2 or 4.5.
Therefore, 54.6 divided by 12 is 4.5, and we can see this from the area model