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a. I bought 4,600 mm of string and then 2,800 mm more. How much string did I buy? Write your answer in mm, cm, and m.

Sagot :

Sure, let's solve this problem step-by-step:

1. Amount of String Bought in Millimeters (mm):

- You bought 4 pieces of string, each 600 mm long.
- Therefore, the total length from these pieces is: [tex]\( 4 \times 600 \, \text{mm} = 2400 \, \text{mm} \)[/tex]

- You also bought 2 pieces of string, each 800 mm long.
- Therefore, the total length from these pieces is: [tex]\( 2 \times 800 \, \text{mm} = 1600 \, \text{mm} \)[/tex]

- To find the total amount of string, add the lengths from both sets of pieces:
[tex]\( 2400 \, \text{mm} + 1600 \, \text{mm} = 4000 \, \text{mm} \)[/tex]

2. Convert the Total Length from Millimeters to Centimeters (cm):

- There are 10 millimeters in 1 centimeter.
- So, to convert the total length to centimeters:
[tex]\( \frac{4000 \, \text{mm}}{10} = 400 \, \text{cm} \)[/tex]

3. Convert the Total Length from Millimeters to Meters (m):

- There are 1000 millimeters in 1 meter.
- So, to convert the total length to meters:
[tex]\( \frac{4000 \, \text{mm}}{1000} = 4 \, \text{m} \)[/tex]

So, the total amount of string you bought is:
- In millimeters: 4000 mm
- In centimeters: 400.0 cm
- In meters: 4.0 m