Math Snap

STEP 1

1. We are converting units within the metric system.
2. We will use standard metric conversion factors for each problem.
3. The metric system is based on powers of 10, which simplifies conversions.

STEP 2

1. Convert meters to centimeters.
2. Convert hectoliters to kiloliters.
3. Convert decigrams to grams.
4. Convert liters to milliliters.
5. Convert decameters to centimeters.
6. Convert kilometers to meters.
7. Convert hectoliters to liters.
8. Convert decimeters to hectometers.

STEP 3

Convert $8 \, \text{m}$ to centimeters.
$$1 \, \text{m} = 100 \, \text{cm}$$ $$8 \, \text{m} = 8 \times 100 \, \text{cm} = 800 \, \text{cm}$$

STEP 4

Convert $37.5 \, \text{hl}$ to kiloliters.
$$1 \, \text{hl} = 0.1 \, \text{kl}$$ $$37.5 \, \text{hl} = 37.5 \times 0.1 \, \text{kl} = 3.75 \, \text{kl}$$

STEP 5

Convert $9 \, \text{m}$ to centimeters.
$$1 \, \text{m} = 100 \, \text{cm}$$ $$9 \, \text{m} = 9 \times 100 \, \text{cm} = 900 \, \text{cm}$$

STEP 6

Convert $50 \, \text{dg}$ to grams.
$$1 \, \text{dg} = 0.1 \, \text{g}$$ $$50 \, \text{dg} = 50 \times 0.1 \, \text{g} = 5 \, \text{g}$$

STEP 7

Convert $1 \, \text{m}$ to centimeters.
$$1 \, \text{m} = 100 \, \text{cm}$$ $$1 \, \text{m} = 100 \, \text{cm}$$

STEP 8

Convert $9 \, \text{L}$ to milliliters.
$$1 \, \text{L} = 1000 \, \text{ml}$$ $$9 \, \text{L} = 9 \times 1000 \, \text{ml} = 9000 \, \text{ml}$$

STEP 9

Convert $3 \, \text{dag}$ to centigrams.
$$1 \, \text{dag} = 100 \, \text{cg}$$ $$3 \, \text{dag} = 3 \times 100 \, \text{cg} = 300 \, \text{cg}$$

STEP 10

Convert $1 \, \text{km}$ to meters.
$$1 \, \text{km} = 1000 \, \text{m}$$ $$1 \, \text{km} = 1000 \, \text{m}$$

STEP 11

Convert $7 \, \text{hl}$ to liters.
$$1 \, \text{hl} = 100 \, \text{L}$$ $$7 \, \text{hl} = 7 \times 100 \, \text{L} = 700 \, \text{L}$$

Convert $8980 \, \text{dm}$ to hectometers.
$$1 \, \text{hm} = 1000 \, \text{dm}$$ $$8980 \, \text{dm} = \frac{8980}{1000} \, \text{hm} = 8.98 \, \text{hm}$$ The solutions are:
1a. $800 \, \text{cm}$
1b. $3.75 \, \text{kl}$
2a. $900 \, \text{cm}$
2b. $5 \, \text{g}$
3a. $100 \, \text{cm}$
3b. $9000 \, \text{ml}$
4a. $300 \, \text{cg}$
4b. $1000 \, \text{m}$
5a. $700 \, \text{L}$
5b. $8.98 \, \text{hm}$