math

2. At the end of this lesson, you should be able to do
the following:
 Perform Four Fundamental Operations
 Whole numbers
 Common fractions
 Decimals
 Decimal to Fraction ( vice versa )
 Fraction to Percentage ( vice versa )
 Decimal to Percentage ( vice versa )
 Conversion of Units
 English to Metric ( vice versa )

3. Four Fundamental Operations
Addition
Subtraction
Multiplication
Division
- the process of uniting two or more numbers to make one
number.
- the process of taking one number away from another
number.
- the process of adding one number as many times
as there are units in the other number.
- the process of finding how many times one number
contains the other number.

4. Whole Numbers
Addition of whole numbers
Subtraction of whole numbers
Multiplication of whole numbers
Division of whole numbers

5. Order of Operations
P
E
M - D
A - S
- Start by working inside the parentheses, innermost first.
- Simplify any exponent expression.
- Then perform all multiplication and division functions,
form left to right, as they appear.
- Finally, work all addition and subtraction functions from
left to right.

6. Common Fractions
Parts
• denominator
• numerator
• fraction bar
Types
• proper fraction
• improper fraction
• mixed number
Lowest Term

7. Adding Fractions
Adding Proper Fractions
Adding Improper Fractions
Adding Mixed Numbers
Adding Fractions with Unlike
Denominator

8. Subtracting Fractions
Subtracting Fractions with Like
Denominators
Subtracting Fractions with Unlike
Denominators
Subtracting Mixed Numbers

9. Multiplying Fractions
Multiplying Two Fractions
Multiplying Fractions with a Whole
Number
Multiplying Mixed Number and a Whole
Number
Multiplying Two Mixed Numbers

10. Dividing Fractions
Dividing Fractions by a Whole Number
Dividing Fractions Mixed Number by a
Whole Number
Dividing Two Fractions
Dividing a Whole Number by a Fraction
Dividing Two Mixed Numbers

12. Decimals
Adding Decimals
Subtracting Decimals
Multiplying Decimals
Dividing Decimals

13. Decimal, Fraction & Percentage
Changing a Decimal to a Fraction
and Fraction to Decimal
Changing a Fraction to a Percentage
and a Percentage to a Fraction
Changing a Decimal to a Percentage
and a Percentage to a Decimal

14. Conversion
of
Units

15. Measurement System
UNITS PREFIXES
PREFIX UNIT SYMBOL NUMBER
Other larger multipliers
Mega Million M 1,000,000 = 106
Kilo Thousand k 1,000 = 103
Hecto Hundred h 100 = 102
Deka Ten d 10 = 101
Unit 1 = 100
Deci Tenth d 0.1 = 10–1
Centi Hundredths c 0.01 = 10–2
Milli Thousandths m 0.001 = 10-3
Micro Millionth μ 0.000001 = 10-6
Other smaller multipliers
BASE UNITS
UNIT SI SYMBOL QUANTITY
Meter m Length
Gram g Mass
Second s Time
Ampere A Electric current

16. Direct Measure Instrument
0 inch
32nds
1
1
32
3
32
5
32
7
32
9
32
11
32
13
32
15
32
17
32
19
32
21
32
23
32
25
32
27
32
29
32
31
32
1
16
3
16
5
16
7
16
9
16
11
16
13
16
15
16
1
8
3
8
5
8
7
8
1
4
3
4
1
2

17. Direct Measure Instrument
0 inch
32nds
1
1
32
3
32
5
32
7
32
9
32
11
32
13
32
15
32
17
32
19
32
21
32
23
32
25
32
27
32
29
32
31
32
1
16
3
16
5
16
7
16
9
16
11
16
13
16
15
16
1
8
3
8
5
8
7
8
1
4
3
4
1
2

18. 0mm 10 20 30
1cm
10 millimeters (mm) = 1 centimeter (cm)
10 centimeters (cm) = 1 decimeter (dm)
10 decimeters (dm) = 1 meter (m)
10 dekameters (dam) = 1 hectometer (hm)
10 hectometers (hm) = 1 kilometer (km)
Metric Length Measure

19. English – Metric Equivalent
1 inch (in) = 25.4 millimeters (mm)
= 2.54 centimeters (cm)
1 foot (ft) = 0.3048 meter (m)
= 12 inches
1 yard (yd) = 0.9144 meter (m)
= 3 feet (ft)
= 36 inches (in)
1 mile (mi) = 1.609 kilometers (km)
= 1,760 yards (yd)
= 5,280 feet (ft)
1 millimeter (mm) = 0.03937 inch (in)
1 centimeter (cm) = 0.39370 inch (in)
1 meter (m) = 3.28084 feet (ft)
= 1.09361 yards (yd)
= 39.375 inches (in)
1 kilometer (km) = 0.62137 mile (mi)