Math / Numbers & Operations

Question1a. $8 \mathrm{~m}=$ $\qquad$ cm
1b. $37,5 \mathrm{hl}=$ $\qquad$ kl
2a. $9 \mathrm{~m}=$ $\qquad$ cm
2 b. $50 \mathrm{dg}=$ $\qquad$ g
3a. $1 \mathrm{~m}=$ $\qquad$ cm
3b. $9 \mathrm{~L}=$ $\qquad$ ml
4a. 3 dag $=$ $\qquad$ cg
4b. $1 \mathrm{~km}=$ $\qquad$ m
5a. $7 \mathrm{hl}=$ $\qquad$ L
5b. $8980 \mathrm{dm}=$ $\qquad$ hm

Studdy Solution

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

STEP 12

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. $8.98 \, \text{hm}$

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Studdy Solution

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

STEP 12

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Studdy Solution

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 m 8 \, \text{m} 8m to centimeters.1 m=100 cm 1 \, \text{m} = 100 \, \text{cm} 1m=100cm8 m=8×100 cm=800 cm 8 \, \text{m} = 8 \times 100 \, \text{cm} = 800 \, \text{cm} 8m=8×100cm=800cm

STEP 4

Convert 37.5 hl 37.5 \, \text{hl} 37.5hl to kiloliters.1 hl=0.1 kl 1 \, \text{hl} = 0.1 \, \text{kl} 1hl=0.1kl37.5 hl=37.5×0.1 kl=3.75 kl 37.5 \, \text{hl} = 37.5 \times 0.1 \, \text{kl} = 3.75 \, \text{kl} 37.5hl=37.5×0.1kl=3.75kl

STEP 5

Convert 9 m 9 \, \text{m} 9m to centimeters.1 m=100 cm 1 \, \text{m} = 100 \, \text{cm} 1m=100cm9 m=9×100 cm=900 cm 9 \, \text{m} = 9 \times 100 \, \text{cm} = 900 \, \text{cm} 9m=9×100cm=900cm

STEP 6

Convert 50 dg 50 \, \text{dg} 50dg to grams.1 dg=0.1 g 1 \, \text{dg} = 0.1 \, \text{g} 1dg=0.1g50 dg=50×0.1 g=5 g 50 \, \text{dg} = 50 \times 0.1 \, \text{g} = 5 \, \text{g} 50dg=50×0.1g=5g

STEP 7

Convert 1 m 1 \, \text{m} 1m to centimeters.1 m=100 cm 1 \, \text{m} = 100 \, \text{cm} 1m=100cm1 m=100 cm 1 \, \text{m} = 100 \, \text{cm} 1m=100cm

STEP 8

Convert 9 L 9 \, \text{L} 9L to milliliters.1 L=1000 ml 1 \, \text{L} = 1000 \, \text{ml} 1L=1000ml9 L=9×1000 ml=9000 ml 9 \, \text{L} = 9 \times 1000 \, \text{ml} = 9000 \, \text{ml} 9L=9×1000ml=9000ml

STEP 9

Convert 3 dag 3 \, \text{dag} 3dag to centigrams.1 dag=100 cg 1 \, \text{dag} = 100 \, \text{cg} 1dag=100cg3 dag=3×100 cg=300 cg 3 \, \text{dag} = 3 \times 100 \, \text{cg} = 300 \, \text{cg} 3dag=3×100cg=300cg

STEP 10

Convert 1 km 1 \, \text{km} 1km to meters.1 km=1000 m 1 \, \text{km} = 1000 \, \text{m} 1km=1000m1 km=1000 m 1 \, \text{km} = 1000 \, \text{m} 1km=1000m

STEP 11

Convert 7 hl 7 \, \text{hl} 7hl to liters.1 hl=100 L 1 \, \text{hl} = 100 \, \text{L} 1hl=100L7 hl=7×100 L=700 L 7 \, \text{hl} = 7 \times 100 \, \text{L} = 700 \, \text{L} 7hl=7×100L=700L

STEP 12

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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.

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.

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

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

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

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

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

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

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

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

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