Solve the following word problems involving length and distance. Remember to first convert the measurements to the same units.

1. I cut a piece of string measuring 254 cm from a ball of string measuring 4 m. Calculate how much string is left on the ball.



Answer :

Sure, let's solve the problem step by step.

1. Convert all measurements to the same units.

Since we are dealing with meters and centimeters, let's convert the total length of the string from meters to centimeters to make the calculations easier.

We know that:
[tex]\[ 1 \text{ meter} = 100 \text{ centimeters} \][/tex]

Therefore,
[tex]\[ 4 \text{ meters} = 4 \times 100 \text{ centimeters} = 400 \text{ centimeters} \][/tex]

2. Subtract the length of the cut string from the total length.

We have:
[tex]\[ \text{Total length of string} = 400 \text{ cm} \][/tex]
[tex]\[ \text{Length of cut string} = 254 \text{ cm} \][/tex]

To find out how much string is left, we subtract:
[tex]\[ \text{Remaining length of string} = \text{Total length of string} - \text{Length of cut string} \][/tex]
[tex]\[ \text{Remaining length of string} = 400 \text{ cm} - 254 \text{ cm} = 146 \text{ cm} \][/tex]

So, after cutting a piece of string measuring 254 cm from the ball of string measuring 4 m, there is 146 cm of string left on the ball.