A paper clip is just over 4 cm long. How many paper clips like this can be made from a straight piece of wire 10 meters long?
The correct answer and explanation is:
To solve this problem, we first need to convert the given lengths into the same units. The wire is 10 meters long, and the length of one paper clip is given as just over 4 cm.
- Convert the length of the wire into centimeters:
Since 1 meter equals 100 centimeters, we multiply the length of the wire by 100 to convert it: 10 meters=10×100=1000 centimeters.10 \, \text{meters} = 10 \times 100 = 1000 \, \text{centimeters}. - Determine how many paper clips can be made:
The length of each paper clip is 4 cm, so to find out how many paper clips can be made from the 1000 cm of wire, we divide the total length of the wire by the length of one paper clip: Number of paper clips=1000 cm4 cm=250.\text{Number of paper clips} = \frac{1000 \, \text{cm}}{4 \, \text{cm}} = 250.
Thus, 250 paper clips can be made from a 10-meter-long piece of wire, assuming each paper clip is exactly 4 cm long.
Explanation:
The problem is a basic division question involving unit conversion. By converting the 10-meter length of wire into centimeters, we can work directly with the given length of the paper clip (which is 4 cm). After that, dividing the total length of wire (1000 cm) by the length of one paper clip (4 cm) gives us the total number of paper clips that can be made.
In reality, since the paper clip is “just over” 4 cm long, the actual number of paper clips may be slightly less, but based on the provided information, we assume the paper clip is exactly 4 cm for this calculation.