outcome 2 1) write the prefix order for converting in the metric system (remember \king henry died…\) ______ ______ ______ ______ ______ ______ ______ 2) one milligram is how many centigrams? ______ 3) how many meters are in one kilometer? ______ 4) how many kilometers are in one meter? ______ 5) 2.55l = cl ______ 6) 0.4682 mm = dm ______ 7) 100.99 m = hm ______ 8) 0.002 ml = dkl ______ for questions 13 - 16, compare the two values using , or = (hint: pick one measurement to change into the unit of other and then compare the two once they are the same unit) 13) 1.0 mm ______ 10 cm 14) 25 cm ______ 1 m for questions 17 - 20, compare the two values using , or = (hint: pick one measurement to change into the unit of other and then compare the two once they are the same unit) 17) r or l: ml to l 18) r or l: g to cg 21) how many minutes in a quarter of an hour? 22) a half - hour is how many minutes? how many seconds in this same time?

Question

outcome 2 1) write the prefix order for converting in the metric system (remember \king henry died…\) ______ ______ ______ ______ ______ ______ ______ 2) one milligram is how many centigrams? ______ 3) how many meters are in one kilometer? ______ 4) how many kilometers are in one meter? ______ 5) 2.55l = cl ______ 6) 0.4682 mm = dm ______ 7) 100.99 m = hm ______ 8) 0.002 ml = dkl ______ for questions 13 - 16, compare the two values using <, >, or = (hint: pick one measurement to change into the unit of other and then compare the two once they are the same unit) 13) 1.0 mm ______ 10 cm 14) 25 cm ______ 1 m for questions 17 - 20, compare the two values using <, >, or = (hint: pick one measurement to change into the unit of other and then compare the two once they are the same unit) 17) r or l: ml to l 18) r or l: g to cg 21) how many minutes in a quarter of an hour? 22) a half - hour is how many minutes? how many seconds in this same time?

Accepted Answer

### Question 1
# Explanation:
The metric system prefixes (using "King Henry Died By Drinking Chocolate Milk" mnemonic) are Kilo, Hecto, Deca, Base (meter/gram/liter), Deci, Centi, Milli. So the order from largest to smallest (or vice versa, depending on direction) is Kilo, Hecto, Deca, Base, Deci, Centi, Milli.
## Step1: Recall metric prefix mnemonic
Using "King Henry Died By Drinking Chocolate Milk", the prefixes are Kilo (k), Hecto (h), Deca (da), Base (unit), Deci (d), Centi (c), Milli (m).
# Answer:
Kilo, Hecto, Deca, Base, Deci, Centi, Milli (or K, H, Da, Unit, D, C, M)

### Question 2
# Explanation:
We know that 1 centigram (cg) = 10 milligrams (mg). So to convert milligrams to centigrams, we divide by 10.
## Step1: Identify conversion factor
1 cg = 10 mg, so 1 mg = $\frac{1}{10}$ cg = 0.1 cg? Wait, no: Wait, 1 mg is 0.1 cg? Wait, no: Wait, 1 cg = 10 mg, so 1 mg = 1/10 cg = 0.1 cg? Wait, no, wait: 1 centigram is 10 milligrams. So 1 milligram is 1/10 centigram. So 1 mg = 0.1 cg? Wait, no, wait: Let's check units. 1 cg = 10 mg, so to convert mg to cg, divide by 10. So 1 mg ÷ 10 = 0.1 cg? Wait, no, that can't be. Wait, 1 gram = 10 decigrams = 100 centigrams = 1000 milligrams. So 1 centigram = 10 milligrams. So 1 milligram = 0.1 centigrams. Yes. So 1 mg = 0.1 cg.
## Step1: Conversion factor: 1 cg = 10 mg
So 1 mg = $\frac{1}{10}$ cg = 0.1 cg.
# Answer:
0.1

### Question 3
# Explanation:
The metric system: 1 kilometer (km) = 1000 meters (m). So the number of meters in 1 kilometer is 1000.
## Step1: Recall km to m conversion
1 km = 1000 m.
# Answer:
1000

### Question 4
# Explanation:
Since 1 kilometer = 1000 meters, then 1 meter is 1/1000 kilometers, which is 0.001 kilometers.
## Step1: Conversion factor (reverse of km to m)
1 km = 1000 m ⇒ 1 m = $\frac{1}{1000}$ km = 0.001 km.
# Answer:
0.001

### Question 5
# Explanation:
We know that 1 liter (L) = 100 centiliters (cL). So to convert liters to centiliters, we multiply by 100.
## Step1: Identify conversion factor
1 L = 100 cL.
## Step2: Multiply by conversion factor
2.55 L × 100 = 255 cL.
# Answer:
255

### Question 6
# Explanation:
We need to convert millimeters (mm) to decimeters (dm). The metric prefixes: 1 dm = 10 cm = 100 mm (since 1 cm = 10 mm, 1 dm = 10 cm = 10×10 mm = 100 mm). So 1 mm = $\frac{1}{100}$ dm. So to convert 0.4682 mm to dm, multiply by $\frac{1}{100}$ (or divide by 100).
## Step1: Find conversion factor from mm to dm
1 dm = 100 mm ⇒ 1 mm = $\frac{1}{100}$ dm = 0.01 dm.
## Step2: Multiply the value by conversion factor
0.4682 mm × 0.01 dm/mm = 0.004682 dm.
# Answer:
0.004682

### Question 7
# Explanation:
Convert meters (m) to hectometers (hm). 1 hm = 100 m. So to convert m to hm, divide by 100.
## Step1: Conversion factor: 1 hm = 100 m
So 1 m = $\frac{1}{100}$ hm = 0.01 hm.
## Step2: Multiply 100.99 m by 0.01
100.99 m × 0.01 hm/m = 1.0099 hm.
# Answer:
1.0099

### Question 8
# Explanation:
Convert milliliters (mL) to dekaliters (dkL). The metric prefixes: 1 dkL = 10 L = 10,000 mL (since 1 L = 1000 mL, so 10 L = 10×1000 mL = 10,000 mL). So 1 mL = $\frac{1}{10,000}$ dkL = 0.0001 dkL.
## Step1: Find conversion factor from mL to dkL
1 dkL = 10 L = 10×1000 mL = 10,000 mL. So 1 mL = $\frac{1}{10,000}$ dkL.
## Step2: Multiply 0.002 mL by $\frac{1}{10,000}$
0.002 mL × $\frac{1}{10,000}$ dkL/mL = 0.002 / 10,000 dkL = 2×10⁻⁷ dkL? Wait, no: 0.002 ÷ 10,000 = 0.0000002? Wait, no: 10,000 is 10⁴, so 0.002 × 10⁻⁴ = 2×10⁻³ × 10⁻⁴ = 2×10⁻⁷? Wait, that seems too small. Wait, maybe I messed up the prefixes. Let's list the prefixes in order: Kilo (10³), Hecto (10²), Deca (10¹), Base (10⁰), Deci (10⁻¹), Centi (10⁻²), Milli (10⁻³), Micro (10⁻⁶), Nano (10⁻⁹)... Wait, no, the order from Kilo to Milli is Kilo (10³), Hecto (10²), Deca (10¹), Base (10⁰), Deci (10⁻¹), Centi (10⁻²), Milli (10⁻³). Then, Decca is 10¹, Hecto 10², Kilo 10³. So Deikaliter is 10¹ liters, so 1 dkL = 10 L. 1 L = 1000 mL, so 1 dkL = 10×1000 mL = 10,000 mL. So 1 mL = 1 / 10,000 dkL = 0.0001 dkL. So 0.002 mL × 0.0001 dkL/mL = 0.0000002 dkL? Wait, that's 2×10⁻⁷ dkL. But that seems very small. Wait, maybe I made a mistake. Let's check again: 1 dkL = 10 L, 1 L = 1000 mL, so 1 dkL = 10×1000 = 10,000 mL. So to convert mL to dkL, divide by 10,000. So 0.002 ÷ 10,000 = 0.0000002. Yes. So 0.002 mL = 2×10⁻⁷ dkL? Wait, no, 0.002 is 2×10⁻³, divided by 10⁴ (10,000) is 2×10⁻⁷. Yes.
## Step1: Conversion factor: 1 dkL = 10,000 mL
So 1 mL = 1/10,000 dkL.
## Step2: Convert 0.002 mL to dkL
0.002 mL × (1 dkL / 10,000 mL) = 0.002 / 10,000 dkL = 2×10⁻⁷ dkL (or 0.0000002 dkL).
# Answer:
2×10⁻⁷ (or 0.0000002)

### Question 13
# Explanation:
We need to compare 1.0 mm and 10 cm. First, convert them to the same unit. Let's convert 10 cm to mm. 1 cm = 10 mm, so 10 cm = 10×10 mm = 100 mm. Now compare 1.0 mm and 100 mm.
## Step1: Convert 10 cm to mm
1 cm = 10 mm, so 10 cm = 10×10 mm = 100 mm.
## Step2: Compare 1.0 mm and 100 mm
1.0 mm < 100 mm, so 1.0 mm < 10 cm.
# Answer:
<

### Question 14
# Explanation:
Compare 25 cm and 1 m. Convert 1 m to cm. 1 m = 100 cm. Now compare 25 cm and 100 cm.
## Step1: Convert 1 m to cm
1 m = 100 cm.
## Step2: Compare 25 cm and 100 cm
25 cm < 100 cm, so 25 cm < 1 m.
# Answer:
<

### Question 17
# Explanation:
To convert milliliters (mL) to liters (L), we know that 1 L = 1000 mL. So to convert mL to L, we divide by 1000, which means moving the decimal point 3 places to the left (L is larger than mL, so going from smaller unit to larger unit, we divide, so decimal left). So "L" (left) when converting mL to L.
## Step1: Conversion: mL to L
1 L = 1000 mL, so to convert mL to L, divide by 1000 (decimal left 3 places). So direction is left (L).
# Answer:
L

### Question 18
# Explanation:
To convert grams (g) to centigrams (cg), we know that 1 g = 100 cg. So to convert g to cg, we multiply by 100, which means moving the decimal point 2 places to the right (R). So direction is right (R).
## Step1: Conversion: g to cg
1 g = 100 cg, so to convert g to cg, multiply by 100 (decimal right 2 places). So direction is right (R).
# Answer:
R

### Question 21
# Explanation:
A quarter of an hour is $\frac{1}{4}$ of 60 minutes (since 1 hour = 60 minutes). So $\frac{1}{4}$ × 60 = 15 minutes.
## Step1: Recall 1 hour = 60 minutes
A quarter is $\frac{1}{4}$, so $\frac{1}{4}$ × 60 minutes = 15 minutes.
# Answer:
15

### Question 22
# Explanation:
A half - hour is $\frac{1}{2}$ of 60 minutes, so $\frac{1}{2}$×60 = 30 minutes. To find the number of seconds, we know that 1 minute = 60 seconds, so 30 minutes×60 seconds/minute = 1800 seconds.
## Step1: Convert half - hour to minutes
1 hour = 60 minutes, half - hour = $\frac{1}{2}$×60 = 30 minutes.
## Step2: Convert 30 minutes to seconds
1 minute = 60 seconds, so 30 minutes×60 seconds/minute = 1800 seconds.
# Answer:
30 minutes; 1800 seconds

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QUESTION IMAGE

Question

Explanation:

Question 1

Step1: Recall metric prefix mnemonic

Step1: Identify conversion factor

Step1: Conversion factor: 1 cg = 10 mg

Step1: Recall km to m conversion

Answer:

Question 2