metric to metric conversions:
17.) how many kilograms are there in 724 grams?
18.) how many liters are in 278 deciliters?
19.) how many meters are there in 1.45 e12 å?
20.) how many micrograms are there in 4.2 e6 grams?
21.) how many liters are there in 140 milliliters?
22.) how many hectoliters are there in 3.2 e-2 liters?
23.) how many meters are there in 1.00 e-4 dm?
24.) how many decigrams are there in 720 grams?
25.) how many megagrams are there in .00075 grams?

Question

Accepted Answer

### Question 17:
# Explanation:
## Step1: Recall the conversion factor: 1 kilogram = 1000 grams, so to convert grams to kilograms, divide by 1000 (or multiply by $10^{-3}$).
$724 \text{ grams} \times \frac{1 \text{ kilogram}}{1000 \text{ grams}}$
## Step2: Perform the calculation: $724 \div 1000 = 0.724$
# Answer:
$0.724$ kilograms

### Question 18:
# Explanation:
## Step1: Recall the conversion factor: 1 liter = 10 deciliters, so to convert deciliters to liters, divide by 10 (or multiply by $10^{-1}$).
$278 \text{ deciliters} \times \frac{1 \text{ liter}}{10 \text{ deciliters}}$
## Step2: Perform the calculation: $278 \div 10 = 27.8$
# Answer:
$27.8$ liters

### Question 19:
# Explanation:
## Step1: Recall the conversion factor: $1 \text{ Å} = 10^{-10} \text{ meters}$. So we multiply the number of angstroms by $10^{-10}$ to get meters.
$1.45 \times 10^{12} \text{ Å} \times 10^{-10} \text{ meters/Å}$
## Step2: Use exponent rules ($a^m \times a^n = a^{m + n}$): $1.45 \times 10^{12-10}=1.45 \times 10^{2}$
## Step3: Calculate $1.45 \times 100 = 145$
# Answer:
$145$ meters

### Question 20:
# Explanation:
## Step1: Recall the conversion factors: 1 gram = $10^{6}$ micrograms. So we multiply the number of grams by $10^{6}$ to get micrograms.
$4.2 \times 10^{6} \text{ grams} \times 10^{6} \text{ micrograms/gram}$
## Step2: Use exponent rules ($a^m \times a^n = a^{m + n}$): $4.2 \times 10^{6 + 6}=4.2 \times 10^{12}$
# Answer:
$4.2 \times 10^{12}$ micrograms

### Question 21 (assuming the unit is milliliters, as handwritten):
# Explanation:
## Step1: Recall the conversion factor: 1 liter = 1000 milliliters, so to convert milliliters to liters, divide by 1000 (or multiply by $10^{-3}$).
$140 \text{ milliliters} \times \frac{1 \text{ liter}}{1000 \text{ milliliters}}$
## Step2: Perform the calculation: $140 \div 1000 = 0.14$
# Answer:
$0.14$ liters

### Question 22:
# Explanation:
## Step1: Recall the conversion factors: 1 hectoliter = 100 liters, so to convert liters to hectoliters, divide by 100 (or multiply by $10^{-2}$).
$3.2 \times 10^{-2} \text{ liters} \times \frac{1 \text{ hectoliter}}{100 \text{ liters}}$
## Step2: Calculate $3.2 \times 10^{-2} \div 100 = 3.2 \times 10^{-2} \times 10^{-2}=3.2 \times 10^{-4}$
# Answer:
$3.2 \times 10^{-4}$ hectoliters

### Question 23:
# Explanation:
## Step1: Recall the conversion factor: 1 decimeter (Dm) = 0.1 meters, so 1 Dm = $10^{-1}$ meters.
$1.00 \times 10^{-4} \text{ Dm} \times 10^{-1} \text{ meters/Dm}$
## Step2: Use exponent rules: $1.00 \times 10^{-4-1}=1.00 \times 10^{-5}$
# Answer:
$1.00 \times 10^{-5}$ meters

### Question 24:
# Explanation:
## Step1: Recall the conversion factor: 1 gram = 10 decigrams, so to convert grams to decigrams, multiply by 10.
$720 \text{ grams} \times \frac{10 \text{ decigrams}}{1 \text{ gram}}$
## Step2: Perform the calculation: $720 \times 10 = 7200$
# Answer:
$7200$ decigrams

### Question 25:
# Explanation:
## Step1: Recall the conversion factors: 1 megagram = $10^{6}$ grams, so to convert grams to megagrams, divide by $10^{6}$ (or multiply by $10^{-6}$).
$0.00075 \text{ grams} \times \frac{1 \text{ megagram}}{10^{6} \text{ grams}}$
## Step2: Calculate $0.00075 \div 10^{6}=0.00075 \times 10^{-6}=7.5 \times 10^{-4} \times 10^{-6}=7.5 \times 10^{-10}$
# Answer:
$7.5 \times 10^{-10}$ megagrams

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QUESTION IMAGE

Question

Explanation:

Question 17:

Step1: Recall the conversion factor: 1 kilogram = 1000 grams, so to convert grams to kilograms, divide by 1000 (or multiply by \(10^{-3}\)).

Step2: Perform the calculation: \(724 \div 1000 = 0.724\)

Step1: Recall the conversion factor: 1 liter = 10 deciliters, so to convert deciliters to liters, divide by 10 (or multiply by \(10^{-1}\)).

Step2: Perform the calculation: \(278 \div 10 = 27.8\)

Step1: Recall the conversion factor: \(1 \text{ Å} = 10^{-10} \text{ meters}\). So we multiply the number of angstroms by \(10^{-10}\) to get meters.

Step2: Use exponent rules (\(a^m \times a^n = a^{m + n}\)): \(1.45 \times 10^{12-10}=1.45 \times 10^{2}\)

Step3: Calculate \(1.45 \times 100 = 145\)

Answer:

Question 18: