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Watch First β€” Learn Metric Units & Unit Conversions

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Metric System & Prefixes

Why This Matters for Nursing: Healthcare uses the metric system exclusively. Medications are in milligrams (mg), IV fluids in milliliters (mL), and patient weights in kilograms (kg). Knowing metric prefixes lets you convert instantly.

What You Need to Know

The metric system is based on powers of 10. Each prefix changes the base unit by a factor of 10, 100, or 1,000.

Base Units

Measurement Base Unit Symbol
Length meter m
Volume liter L
Mass/Weight gram g

Prefixes (Memorize These!)

Prefix Symbol Meaning Example
kilo- k 1,000 1 kg = 1,000 g
(base) - 1 meter, gram, liter
centi- c 1/100 (0.01) 1 cm = 0.01 m
milli- m 1/1,000 (0.001) 1 mg = 0.001 g
micro- mcg or ΞΌ 1/1,000,000 1 mcg = 0.000001 g
Metric Staircase (Healthcare Focus) kilo- (k) = 1,000 gram / liter / meter (base = 1) centi- (c) = 1/100 milli- (m) = 1/1,000 micro- (mcg/ΞΌ) = 1/1,000,000 Γ· 1,000 Γ· 1,000 Γ· 1,000 Γ· 1,000 ↓ ↓ ↓ ↓ Γ— 1,000 going up

🧠 Memory Trick

"King Henry Died By Drinking Chocolate Milk"

Kilo β†’ Hecto β†’ Deka β†’ Base β†’ Deci β†’ Centi β†’ Milli

Each step = multiply or divide by 10

Healthcare Focus: Just memorize these three: - kilo = 1,000 Γ— base (kg = 1,000 g) - milli = 1/1,000 of base (1,000 mg = 1 g) - micro = 1/1,000,000 of base (1,000 mcg = 1 mg)


Converting Within Metric

Method 1: Move the Decimal

Moving from LARGER to SMALLER units β†’ move decimal RIGHT (multiply) Moving from SMALLER to LARGER units β†’ move decimal LEFT (divide)

Method 2: Use Conversion Factors

Set up a proportion using known equivalents.


✏️ Worked Examples

Example 1: Grams to Milligrams

Problem: Convert 2.5 g to mg.

Step 1 β€” Identify the direction. We're going from grams (larger unit) to milligrams (smaller unit). Going from big to small means we get MORE of the smaller unit β€” so we multiply.

Step 2 β€” Use the conversion factor. 1 g = 1,000 mg. To convert grams to milligrams, multiply by 1,000.

Step 3 β€” Multiply. 2.5 Γ— 1,000 = 2,500 mg.

Answer: 2,500 mg

πŸ’‘ Multiplying by 1,000 is easy: just move the decimal 3 places to the right. 2.5 β†’ 2500.


Example 2: Step-by-Step Solution

To solve this type of problem, start by identifying the key values given in the question. Then apply the formula we covered above...

Step 1: Convert the mixed number to an improper fraction...

Step 2: Find the common denominator between the two fractions...

Keep reading β€” there's more to this guide

The worked examples and practice problems are the part that actually prepares you for the TEAS.

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