Final answer:
To express the scale 1 m = 4 cm differently, we can use the conversion between meters and centimeters, giving us two possible expressions: 1 m = 400 cm or 1 m = 25 cm. Both represent the original scale correctly.
Step-by-step explanation:
To express the scale 1 m = 4 cm in another way, we can convert meters to centimeters since there are 100 cm in 1 m. Therefore, 1 m can be converted to centimeters by multiplying by 100, giving us 100 cm. To keep the scale the same, we multiply the 4 cm side of the ratio by 100 as well, giving us 400 cm. Now, we have 1 m = 400 cm.
Another way to look at it is by considering the simplest form of the ratio. Since our scale factor of 4 can be divided by 4 to get 1, we can divide 100 cm by 4 as well, to keep the scale equivalent. Hence, we can also write the scale as 1 m = 25 cm. Either form, written as 1 m = 400 cm or 1 m = 25 cm, accurately represents the original scale of 1 m = 4 cm when using the context of conversion between meters and centimeters.