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# Measurement for Praxis I: Pre-Professional Skills Test Study Guide (page 5)

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### Conversions within the Metric System

An easy way to do conversions with the metric system is to move the decimal point either to the right or to the left, because the conversion factor is always ten or a power of ten. Remember, when changing from a large unit to a smaller unit, multiply. When changing from a small unit to a larger unit, divide.

### Making Easy Conversions within the Metric System

When multiplying by a power of ten, move the decimal point to the right, because the number becomes larger.

When dividing by a power of ten, move the decimal point to the left, because the number becomes smaller.

To change from a larger unit to a smaller unit, move the decimal point to the right.
kilo hecto deka deci centi milli

#### Metric Prefixes

An easy way to remember the metric prefixes is to remember the mnemonic: "King Henry Died Of Drinking Chocolate Milk." The first letter of each word represents a corresponding metric heading from Kilo down to Milli: "King"—Kilo, "Henry"—Hecto, "Died"—Deka, "Of"—Original Unit, "Drinking"—Deci, "Chocolate"—Centi, and "Milk"—Milli.

To change from a smaller unit to a larger unit, move the decimal point to the left.
##### Example
Change 520 grams to kilograms.
1. Be aware that changing meters to kilometers is going from small units to larger units and, thus, requires that the decimal point move to the left
2. Beginning at the unit (for grams), note that the kilo heading is three places away. Therefore, the decimal point will move three places to the left.
3. Move the decimal point from the end of 520 to the left three places.
4. 520

Place the decimal point before the 5: .520

The answer is 520 grams = .520 kilograms.

##### Example
Ron's supply truck can hold a total of 20,000 kilograms. If he exceeds that limit, he must buy stabilizers for the truck that cost \$12.80 each. Each stabilizer can hold 100 additional kilograms. If he wants to pack 22,300,000 grams of supplies, how much money will he have to spend on the stabilizers?
1. First, change 22,300,000 grams to kilograms.
2. Move the decimal point three places to the left: 22,300,000 g = 22,300.000 kg = 22,300 kg.
3. Subtract to find the amount over the limit: 22,300 kg – 20,000 kg = 2,300 kg.
4. Because each stabilizer holds 100 kilograms and the supplies exceed the weight limit of the truck by 2,300 kilograms, Ron must purchase 23 stabilizers: 2,300 kg ÷ 100 kg per stabilizer = 23 stabilizers.
5. Each stabilizer costs \$12.80, so multiply \$12.80 by 23: \$12.80 × 23 = \$294.40.

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