Cardinal numbers and ordinal numbers are defined right here with the assistance of colourful footage.

We rely the variety of objects like this:

One, two, three, 4, 5, six, seven, eight, 9, ten, eleven, …

The quantity on which our counting ends tells us the variety of objects. Suppose, we have now a group of balls.

We will rely these balls by labelling them as proven on the left. Our counting ends at 6.

So, there are 6 balls within the assortment.

The numbers 1,2,3,… which inform us the variety of objects or objects are referred to as cardinal numbers.

Now suppose, 5 youngsters are standing in a queue on the bus cease.

We are saying that:

1. James is first within the queue.

2. Olivia is second within the queue.

3. Sophia is third within the queue.

4. Daniel is fourth within the queue.

5. Nora is fifth within the queue.

The numbers akin to first, second, third, fourth, fifth which inform us the place or rank of an object in an ordered assortment, are referred to as ordinal numbers.

There are lots of steps in a staircase as proven within the above determine. The given staircase has 9 steps, i.e., 1, 2, 3, 4, 5, 6, 7, 8 and 9.

Within the technique of climbing up the steps, we time period step Quantity (1) because the first step, step Quantity (2) because the second step quantity (3) because the third step, Quantity (4) because the fourth step, Quantity (5) because the fifth step, Quantity (6) as sixth step, Quantity (7) as seventh step, Quantity (8) as eighth step and Quantity (9) as ninth step. These are additionally expressed as 1ˢᵗ, 2ⁿᵈ, 3ʳᵈ, 4ᵗʰ, 5ᵗʰ, 6ᵗʰ, ………… and so forth.

Numbers 1, 2, 3, 4, 5, ……, 9, and so forth., are referred to as cardinal numbers whereas 1ˢᵗ, 2ⁿᵈ, 3ʳᵈ, 4ᵗʰ, 5ᵗʰ, 6ᵗʰ, ………… and so forth., are referred to as ordinal numbers.

The cardinal numbers specific the quantitative property of the numbers whereas the ordinal numbers specific their order. The cardinal numbers specific the variety of objects in a group whereas the ordinal quantity at all times expresses one object.

For instance, there are 5 college students in a row (cardinal quantity) and fifth pupil of the row (ordinal quantity).

Whereas coming down the steps the ordinal numbers are modified. The 9ᵗʰ turns into the 1ˢᵗ, the eighth turns into 2ⁿᵈ, the seventh turns into 3ʳᵈ and so forth. Thus, ordinal numbers are modified in reverse order, i.e., the final turns into the primary, the final however one turns into the second, and so forth. However the cardinal numbers stay the identical.

Cardinal numbers      
exhibiting serial quantity       ⇒ 1  2  3   4  5  6  7  8  9
of steps of staircase       

Ordinal numbers      
     from                             ⇒ 1st  2nd  third   4th  fifth  sixth  seventh  eighth  ninth
   the entrance      

Ordinal numbers      
     from                             ⇒ ninth  eighth  seventh   sixth  fifth  4th  third  2nd  1st
   the again       

Thus, the ordinal numbers point out the place of an object from the entrance or again of any given object. 

Allow us to think about that, there are seven boys in a row who’re numbered as 1, 2, 3, 4, 5, 6 and seven from one finish of the row. These numbers are referred to as cardinal numbers. 

For instance:

● Ordinal Numbers from 1 to 7: 1st   2nd   third   4th   fifth  sixth   seventh

● Ordinal Numbers from 7 to 1: seventh   sixth   fifth   4th   third   2nd   1st

Now if we take the place of every boy from boy quantity (1). The place of every boy is indicated by ordinal numbers. These are from left to proper as 1st,   2nd,   third,   4th,   fifth,   sixth,   seventh and from proper to left as seventh,   sixth,   fifth,   4th,   third,   2nd,   1st. 

Thus, from each side the place of every boy could also be indicated by ordinal numbers.

2nd Grade Math Observe

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