Sunday, May 1, 2011

Quick rivision of the chapter'' Integers'' for k-5 to k-7

 class 5th to 7th)


Types

Set of numbers starting from ONE to[S1]  INFINITY are called  NATURAL NUMBERS. Infinity means’’ has no limit’

Ex-   1 2 3 4 5 6 7 8…………………………….

2.When we include ZERO, in the set of natural numbers , this set starting from ZERO to INFINITY , are called WHOLE NUMBERS .

Ex-   0 1 2 3 4 5 6 7 8 ………………………………

3.As we include the numbers beyond zero, that means all negative numbers , then this set is called INTEGERS. It extends from –infinity to +infinity.

Ex-   …………….-8  -7  -6  -5  -4  -3  -2  -1  0 1   2  3  4  5  6  7  8…………. 

4. Fun about the negative numbers as you can express them in + ve value. Let me give you some examples below

(a) if you jump 10 meters from any floor or sea level then that’s called simply jumped 10 meters high. If you have to say this in terms of ‘’diving’’ then you will say, he

dived  -10 meters.

If you dive into the sea 10 meters then it can be expressed as; jumped -10 meters

            Dived  +10 meters

            Jumped -10 meters high.

5. Remember just one thing while solving a problem. If the question does not mention the place/level (if height) ; then the answer will be in its +ve value. For example ,

If some one dives 5m and the question does not suggest you to take the level of the pool/sea/water body as ‘’zero meter’’ then your answer will be only 5m.

If  the question mentions as in this example that,

a person dives 5m from the sea level which is taken as ''0'' m, then your answer will be '' the person travelled -5m.

Quick revision of chapter INTEGERs


properties

1.Additive identity of addition.  When any Integer retains it’s  identity even after added to another Integer it must be added to zero. This is all about the property of additive identity. Here identity means it’s numerical value only.
For example -  39 + 0 = 39
58 + 0 = 58, etc.
58 + 0 = 58, etc.
2.Multiplicative identity.  When  any Integer does not change it’s numerical value after multiplied with another Integer, then it must be multiplied with 1 only. This is all about ‘’ multiplicative identity’’ property.
Next time we will discuss some of the other properties. Till then enjoy math.       




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