Certainly! Let's address each question step-by-step:
1. Jabu measured a line for his art project. It is 200 millimetres long. How many centimetres is the line?
To convert from millimetres to centimetres, we need to know the conversion factor. There are 10 millimetres in 1 centimetre.
[tex]\[
\text{line length in centimetres} = \frac{\text{line length in millimetres}}{10}
\][/tex]
Given that the length is 200 millimetres:
[tex]\[
\text{line length in centimetres} = \frac{200}{10} = 20 \text{ centimetres}
\][/tex]
So, the line is 20 centimetres long.
2. Ming is moving to a new house. Her old house is 3 kilometres from her new house. How many meters is the old house from the new house?
To convert from kilometres to meters, we use the fact that 1 kilometre is equal to 1000 meters.
[tex]\[
\text{distance in meters} = \text{distance in kilometres} \times 1000
\][/tex]
Given that the distance is 3 kilometres:
[tex]\[
\text{distance in meters} = 3 \times 1000 = 3000 \text{ meters}
\][/tex]
So, the old house is 3000 meters from the new house.
3. Musa has a 1.2 m long piece of wood. He wants to cut it into 3 equal lengths. How long should each piece be in millimetres?
First, find the length of each piece in meters by dividing the total length by the number of pieces.
[tex]\[
\text{length of each piece in meters} = \frac{\text{total length in meters}}{\text{number of pieces}}
\][/tex]
Given the total length is 1.2 meters and he wants 3 pieces:
[tex]\[
\text{length of each piece in meters} = \frac{1.2}{3} = 0.4 \text{ meters}
\][/tex]
To convert this length to millimetres, multiply by 1000 (since 1 meter = 1000 millimetres):
[tex]\[
\text{length of each piece in millimetres} = 0.4 \times 1000 = 400 \text{ millimetres}
\][/tex]
So, each piece should be 400 millimetres long.
4. Jessica's shoebox is 20 centimetres long and 10 centimetres wide. How many more millimetres is the length of the shoebox than the width?
First, find the difference in centimetres between the length and the width.
[tex]\[
\text{difference in centimetres} = \text{length in centimetres} - \text{width in centimetres}
\][/tex]
Given the length is 20 centimetres and the width is 10 centimetres:
[tex]\[
\text{difference in centimetres} = 20 - 10 = 10 \text{ centimetres}
\][/tex]
Now, convert this difference to millimetres by multiplying by 10 (since 1 centimetre = 10 millimetres):
[tex]\[
\text{difference in millimetres} = 10 \times 10 = 100 \text{ millimetres}
\][/tex]
So, the length of the shoebox is 100 millimetres more than the width.
