Rahim bought 7 magic sticks, each of length 5 cm 3 mm. What is the total length of all the sticks?

Options

A. 6 cm 5 mm
B. 5.05 cm
C. 37 cm 1 mm
D. 550 mm

Answer

To find the total length of all the magic sticks that Rahim bought, we can follow these steps:

### Step 1: Understand the length of one magic stick.
The length of one magic stick is given as 5 cm 3 mm.

### Step 2: Convert the length of one magic stick into a single unit.
To make calculations easier, we can convert the length of the stick entirely into millimeters.
- We know that 1 cm = 10 mm.
- Therefore, 5 cm = 5 × 10 mm = 50 mm.
- Now, add the 3 mm to this:
- Total length of one stick = 50 mm + 3 mm = 53 mm.

### Step 3: Calculate the total length of 7 magic sticks.
Now that we have the length of one stick in millimeters, we can find the total length of 7 sticks:
- Total length = Length of one stick × Number of sticks
- Total length = 53 mm × 7.

### Step 4: Perform the multiplication.
Now, let's calculate:
- 53 mm × 7 = 371 mm.

### Step 5: Convert the total length back to centimeters and millimeters.
To express 371 mm in cm and mm:
- We know that 1 cm = 10 mm.
- To convert mm to cm, divide by 10:
- 371 mm = 37 cm and 1 mm (since 371 ÷ 10 = 37 remainder 1).

### Final Answer:
The total length of all the magic sticks is 37 cm 1 mm.

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