Mathematics: Fractions, Decimals, Percentages, and Metric Conversions

A collection of vocabulary flashcards to help understand key concepts in fractions, decimals, percentages, and metric conversions.

Improper Fraction

A fraction where the numerator is greater than the denominator.

Mixed Number

A whole number combined with a proper fraction.

Lowest Common Denominator (LCD)

The smallest number that can be a common denominator for two or more fractions.

Multiplying Fractions

To multiply two fractions, multiply the numerators and multiply the denominators.

Keep, Change, Flip Method

A method for dividing fractions: keep the first fraction, change the division sign to multiplication, and flip the second fraction.

Percentages

A way of expressing a number as a fraction of 100.

Converting Decimals to Fractions

To convert a decimal to a fraction, write the decimal over 1, multiply the numerator and denominator by 10 for each digit after the decimal.

Equivalent Fractions

Different fractions that represent the same value.

Ratios

A relationship between two numbers that shows how many times the first number contains the second.

Reducing Fractions

The process of simplifying fractions to their lowest terms.

Cancellation in Multiplying Fractions

A technique to reduce fractions before multiplying by dividing common factors.

Converting Fractions to Percentages

Convert a fraction to a decimal and then multiply by 100 to get the percentage.

The 3 types of measure

Length, weight (mass), volume

What is the basic unit for length

Meter (m)

Basic unit for weight (mass)

Gram (g)

Basic unit for volume

Liter (L)

Metric equivalents (forward)

Kg→g →mg →mcg (x by 1000)

Metric equivalent (backwards)

Kg ←g← mg ← mcg (divide by 1000)

Micro

One millionth

Milli

One thousand

Centi

One hundredth

Kilo

One thousand

1000000 micrograms=

I gram

1000 micrograms (mcg)

1 milligram

1000 grams

1 kilogram

1000 milliliters (mL)

1 liter

I cubic centimeter (CC)

1 milliliter (mL)

1 Meter

1000 (mm) or 100cm

1 centimeter (cm)

10 mm or 0.01 m

1 millimeter (mm)

0.1 cm or 0.001 m

Can you use leading 0 (ex: 0.2)

Yes

Can you use a trailing 0

No

Metric measure

Household measure

5 milliliters

1 teaspoon

15 millimeters (mL)

1 tablespoon (Tbsp)

30 milliliters

1 ounce (Oz)

240 milliliters

1 standard measuring cup

1 kilogram or 1000 grams

2.2 lbs

2.5 cm

1 in

1 foot

12 in

1 cup

8 fluid Oz

1 pint

2 cups or 16 fluid Oz

1 quart

2 pint or 4 cups

1 pound

16 oz

9 Celsius

5 Fahrenheit-160

Fahrenheit

Celsius multiplied by 1.8+32

Celsius

(Fahrenheit -32) / 1.8

Foot

Ft

Milliliter per hour

mL/h

Drops per min

gtt/min

Quart

qt

Gallon

Gal

Intravenous

Iv

Subcutaneous

SC

Intradermal

ID

Bid

Twice a day

Tid

3 times a day

Qid

4 times a day

q2h

every 2 hours (12ntimes a day)

q3h

every 3 hours (8 times a day)

q4h

every 4 hours (6 times a day)

Q6h

Every 6 hours (4 times a day)

q8h

Every 8 hours (3 times a day)

q12h

every 12 hours (2 times a day)

Hs

at bedtime

Stat

Immediately

ac

Before meals

Pc

After meals

Prn

As needed

Flow rate (ml/h)

Amount of solution (mL) / time(hours)

Metric notation rules

Use decimal not fraction ,use leading zero not trailing, write unit after #,

Volume roadmap (forward)

Kl →L→ mL → mcL (x by 1000)

VolumeS roadmap (backwards)

Kl ←L← mL ← mcL (divide by 1000)

Part total whole

What is (blank) % of (blank)

Solving percentage problems

%/ 100 = is/of

Percent change formula

Large# - small# / original#

Percent change formula

% of increase, % of decrease, % of change

Tenths place

After decimal

Hundredths place

2 after decimal

Thousands place

3 after decimal

Ones place

1 before decimal

dimension analysis

Size of unit