introduction to s.i. measurements
the international system of units (si) is the system used by scientists around the world to standardize the measurement of quantities. this system is based on powers of 10. the table below lists the information needed to make all conversions within si. use it to answer the 10 problems in the bottom line. (1 unit = 1 base unit)

s.i. base units
mass = kilogram (kg)
length = meter (m)
time = second (s)
temperature = kelvin (k)
amount of a substance = mole (mol)
electric current = ampere (a)
luminous intensity = candela (cd)

chart with prefixes: symbol, name, size, meaning (e.g., t (tera) (10^{12}), g (giga) (10^9), m (mega) (10^6), k (kilo) (10^3), h (hecto) (10^2), d (deca) (10^1), base unit (meter, gram, etc.) (1), d (deci) (10^{-1}), c (centi) (10^{-2}), m (milli) (10^{-3}), μ (micro) (10^{-6}), n (nano) (10^{-9}), p (pico) (10^{-12}))

1) convert 6.53 meters to millimeters
2) convert 29100 meters to kilometers
3) convert 5.65 grams to milligrams
4) convert 9020 grams to kilograms
5) convert 375 grams to centigrams
6) convert 95 centiliters to liters
7) convert 120000 milliliters to liters
8) convert (1.975 imes 10^4) liters to kiloliters
9) convert 91500 milligrams to grams
10) convert 1.64875 kilograms to grams

Question

introduction to s.i. measurements
the international system of units (si) is the system used by scientists around the world to standardize the measurement of quantities. this system is based on powers of 10. the table below lists the information needed to make all conversions within si. use it to answer the 10 problems in the bottom line. (1 unit = 1 base unit)

s.i. base units
mass = kilogram (kg)
length = meter (m)
time = second (s)
temperature = kelvin (k)
amount of a substance = mole (mol)
electric current = ampere (a)
luminous intensity = candela (cd)

chart with prefixes: symbol, name, size, meaning (e.g., t (tera) (10^{12}), g (giga) (10^9), m (mega) (10^6), k (kilo) (10^3), h (hecto) (10^2), d (deca) (10^1), base unit (meter, gram, etc.) (1), d (deci) (10^{-1}), c (centi) (10^{-2}), m (milli) (10^{-3}), μ (micro) (10^{-6}), n (nano) (10^{-9}), p (pico) (10^{-12}))

1) convert 6.53 meters to millimeters
2) convert 29100 meters to kilometers
3) convert 5.65 grams to milligrams
4) convert 9020 grams to kilograms
5) convert 375 grams to centigrams
6) convert 95 centiliters to liters
7) convert 120000 milliliters to liters
8) convert (1.975 	imes 10^4) liters to kiloliters
9) convert 91500 milligrams to grams
10) convert 1.64875 kilograms to grams

Accepted Answer

### Problem 1: Convert 6.53 meters to millimeters
# Explanation:
## Step1: Recall the conversion factor. From the table, 1 meter = $10^{3}$ millimeters (since milli is $10^{-3}$ smaller, so to convert meters to millimeters, we multiply by $10^{3}$).
$1\space m = 10^{3}\space mm$
## Step2: Multiply the given meters by the conversion factor.
$6.53\space m\times10^{3}\space\frac{mm}{m}=6.53\times10^{3}\space mm = 6530\space mm$
# Answer:
6530 millimeters

### Problem 2: Convert 29100 meters to kilometers
# Explanation:
## Step1: Recall the conversion factor. 1 kilometer = $10^{3}$ meters, so to convert meters to kilometers, we divide by $10^{3}$ (or multiply by $10^{-3}$).
$1\space km = 10^{3}\space m$
## Step2: Divide the given meters by $10^{3}$.
$29100\space m\div10^{3}\space\frac{m}{km}=29100\times10^{-3}\space km = 29.1\space km$
# Answer:
29.1 kilometers

### Problem 3: Convert 5.65 grams to milligrams
# Explanation:
## Step1: Recall the conversion factor. 1 gram = $10^{3}$ milligrams (milli is $10^{-3}$ smaller, so multiply by $10^{3}$).
$1\space g = 10^{3}\space mg$
## Step2: Multiply the given grams by $10^{3}$.
$5.65\space g\times10^{3}\space\frac{mg}{g}=5.65\times10^{3}\space mg = 5650\space mg$
# Answer:
5650 milligrams

### Problem 4: Convert 9020 grams to kilograms
# Explanation:
## Step1: Recall the conversion factor. 1 kilogram = $10^{3}$ grams, so divide by $10^{3}$ (multiply by $10^{-3}$).
$1\space kg = 10^{3}\space g$
## Step2: Divide the given grams by $10^{3}$.
$9020\space g\div10^{3}\space\frac{g}{kg}=9020\times10^{-3}\space kg = 9.02\space kg$
# Answer:
9.02 kilograms

### Problem 5: Convert 375 grams to centigrams
# Explanation:
## Step1: Recall the conversion factor. 1 gram = $10^{2}$ centigrams (centi is $10^{-2}$ smaller, so multiply by $10^{2}$).
$1\space g = 10^{2}\space cg$
## Step2: Multiply the given grams by $10^{2}$.
$375\space g\times10^{2}\space\frac{cg}{g}=375\times100\space cg = 37500\space cg$
# Answer:
37500 centigrams

### Problem 6: Convert 95 centiliters to liters
# Explanation:
## Step1: Recall the conversion factor. 1 liter = $10^{2}$ centiliters, so divide by $10^{2}$ (multiply by $10^{-2}$).
$1\space L = 10^{2}\space cL$
## Step2: Divide the given centiliters by $10^{2}$.
$95\space cL\div10^{2}\space\frac{cL}{L}=95\times10^{-2}\space L = 0.95\space L$
# Answer:
0.95 liters

### Problem 7: Convert 120000 milliliters to liters
# Explanation:
## Step1: Recall the conversion factor. 1 liter = $10^{3}$ milliliters, so divide by $10^{3}$ (multiply by $10^{-3}$).
$1\space L = 10^{3}\space mL$
## Step2: Divide the given milliliters by $10^{3}$.
$120000\space mL\div10^{3}\space\frac{mL}{L}=120000\times10^{-3}\space L = 120\space L$
# Answer:
120 liters

### Problem 8: Convert $1.975\times10^{4}$ liters to kiloliters
# Explanation:
## Step1: Recall the conversion factor. 1 kiloliter = $10^{3}$ liters, so divide by $10^{3}$ (multiply by $10^{-3}$).
$1\space kL = 10^{3}\space L$
## Step2: Divide the given liters by $10^{3}$.
$1.975\times10^{4}\space L\div10^{3}\space\frac{L}{kL}=1.975\times10^{4 - 3}\space kL=1.975\times10^{1}\space kL = 19.75\space kL$
# Answer:
19.75 kiloliters

### Problem 9: Convert 91500 milligrams to grams
# Explanation:
## Step1: Recall the conversion factor. 1 gram = $10^{3}$ milligrams, so divide by $10^{3}$ (multiply by $10^{-3}$).
$1\space g = 10^{3}\space mg$
## Step2: Divide the given milligrams by $10^{3}$.
$91500\space mg\div10^{3}\space\frac{mg}{g}=91500\times10^{-3}\space g = 91.5\space g$
# Answer:
91.5 grams

### Problem 10: Convert 1.64875 kilograms to grams
# Explanation:
## Step1: Recall the conversion factor. 1 kilogram = $10^{3}$ grams, so multiply by $10^{3}$.
$1\space kg = 10^{3}\space g$
## Step2: Multiply the given kilograms by $10^{3}$.
$1.64875\space kg\times10^{3}\space\frac{g}{kg}=1.64875\times1000\space g = 1648.75\space g$
# Answer:
1648.75 grams

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QUESTION IMAGE

Question

Explanation:

Problem 1: Convert 6.53 meters to millimeters

Step1: Recall the conversion factor. From the table, 1 meter = \(10^{3}\) millimeters (since milli is \(10^{-3}\) smaller, so to convert meters to millimeters, we multiply by \(10^{3}\)).

Step2: Multiply the given meters by the conversion factor.

Step1: Recall the conversion factor. 1 kilometer = \(10^{3}\) meters, so to convert meters to kilometers, we divide by \(10^{3}\) (or multiply by \(10^{-3}\)).

Step2: Divide the given meters by \(10^{3}\).

Step1: Recall the conversion factor. 1 gram = \(10^{3}\) milligrams (milli is \(10^{-3}\) smaller, so multiply by \(10^{3}\)).

Step2: Multiply the given grams by \(10^{3}\).

Answer:

Problem 2: Convert 29100 meters to kilometers