Solved Example > No. SE 6

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.