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Example: Add and Subtract Decimals

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Explanation:

 

 

Decimal

 

The decimal numeral system (also called base ten or occasionally denary) has ten as its base. It is the numerical base most widely used by modern civilizations.

A decimal is a tenth part, and decimals become a series of nested tenths

 

http://en.wikipedia.org/wiki/Decimal

 

Kilogram

 

The kilogram (symbol: kg) is the base unit of mass in the International System of Units (SI, from the French Le Système International d'Unitès), which is the modern standard governing the metric system. The kilogram is defined as being equal to the mass of the International Prototype Kilogram (IPK), which is almost exactly equal to the mass of one liter of water. 

 

SI multiples

SI multiples for gram (g)

Submultiples

Multiples

Value

Symbol

Name

Value

Symbol

Name

10−1 g

dg

decigram

101 g

dag

decagram

10−2 g

cg

centigram

102 g

hg

hectogram

10−3 g

mg

milligram

103 g

kg

kilogram(Our solved example in mathguru.com uses this concept)

10−6 g

µg

microgram (mcg)

106 g

Mg

megagram (tonne)

10−9 g

ng

nanogram

109 g

Gg

gigagram

10−12 g

pg

picogram

1012 g

Tg

teragram

10−15 g

fg

femtogram

1015 g

Pg

petagram

10−18 g

ag

attogram

1018 g

Eg

exagram

10−21 g

zg

zeptogram

1021 g

Zg

zettagram

10−24 g

yg

yoctogram

1024 g

Yg

yottagram

Common prefixes are in bold face.

 

 

http://en.wikipedia.org/wiki/Kilogram

 

Addition

 

 

3 + 2 = 5 with apples

Addition is a mathematical operation that represents combining collections of objects together into a larger collection. It is signified by the plus sign (+). For example, in the picture on the right, there are 3 + 2 apples-meaning three apples and two other apples-which is the same as five apples. Therefore, 3 + 2 = 5. (Our solved example in mathguru.com uses this concept)

Besides counting fruits, addition can also represent combining other physical and abstract quantities using different kinds of numbers: numbers, fractions, irrational numbers, vectors, decimals and more.

 

http://en.wikipedia.org/wiki/Addition

 

 

Subtraction

 

"5 − 2 = 3" (verbally, "five minus two equals three")


An example problem

Subtraction is one of the four basic binary arithmetic operations; it is the inverse of addition, meaning that if we start with any number and add any number and then subtract the same number we added, we return to the number we started with. Subtraction is denoted by a minus sign in infix notation.

Subtraction is used to model four related processes:

1.  From a given collection, take away (subtract) a given number of objects. For example, 5 apples minus 2 apples leaves 3 apples.

2.  From a given measurement, take away a quantity measured in the same units. If I weigh 200 pounds, and lose 10 pounds, then I weigh 200 − 10 = 190 pounds.

3.  Compare two like quantities to find the difference between them. For example, the difference between $800 and $600 is $800 − $600 = $200. Also known as comparative subtraction.

4.  To find the distance between two locations at a fixed distance from starting point. For example if, on a given highway, you see a mileage marker that says 150 miles and later see a mileage marker that says 160 miles, you have traveled 160 − 150 = 10 miles. (Our solved example in mathguru.com uses this concept)

 

http://en.wikipedia.org/wiki/Subtraction

 

The above explanation is copied from Wikipedia, the free encyclopedia and is remixed as allowed under the Creative Commons Attribution- ShareAlike 3.0 Unported License.