Puzzle for the day

Put the numbers 1, 2,3 ,4 , 5, 6, 7 in the circles so that each straight line of three numbers adds up to the same total.

Hint 1: As 7 is the largest of all numbers put it in the center circle.

Hint 2: Make pairs of the numbers that add up to 7 so that the total is 14.

COMPARISON OF WHOLE USING NUMBER LINE

See a number line.....

Observe on this number line, what is the distance between the points 4 and 6?

It is 2 units, also 6 lies on the right of 4.

 Can you tell the distance between 2 and 7?

It is 5 units, also observe on the number line 7 lies on the right of 2.

So, 6 > 4 and 7 > 2.

So, if we want to compare two whole numbers on a number line we can say that the number which lies on the right is greater. As seen in the above examples 6 lies on the right of 4 so 6 is greater and as 7 lies on the right of 2 so 7 is greater.

Similarly for the same examples we can say that 4 lies on the left of 6 so, 4 is less than 6.

If suppose three whole numbers are to be compared using a number line say 32, 12, 21 then first mark these numbers on the number line.

Which number can you say will be at the farthest right? We can see that 21 lie on the right of 12, and 32 on the right of 21.

So, 32 > 21 > 12.

So, now if you are given two large whole numbers say, 1053 and 2356, which number will lie on the right?

As 2356 > 1053, hence 2356 lies on the right.

Time for the answer

The answer to riddle is 24 = 2* 3* 4

How did u find it?

Write down all the numbers between 12 and 40 that are:
13, 14, 15, 16, 17, 18, 19, 20 , 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39

Now Clue 1 says it does not have 5 or 7 as the factor, so cancel out all numbers that have 5 or 7 as factor. we are left with:
13, 16, 17, 18, 19, 22, 23, 24, 26, 27, 29, 31, 32, 33, 34, 36, 37, 38, 39

Now, Clue 2: One of the factors is 4. Pick numbers with factor as 4.

16, 24, 36

Now out of these:
16 = 4 * 4
24 = 2 * 3 * 4
36 = 6 * 6

So, the answer is 24

Riddle

Wait for the answer..will be up tomorrow...

NUMBER LINE FOR WHOLE NUMBERS

How to draw a number line?

        

#     First draw a line

#    Mark a point on it. Label this point as 0.

#  Mark a point on the right of this point and label it as 1. The distance between 0 and 1 is called unit distance.

#   Mark another point to the right of 1 keeping the same distance as between 0 and 1 that is at unit distance. Label it as 2. 

#    In this way we can label other points 3, 4, 5, 6 and so on in this manner.

#      This is called a number line of whole numbers

Applications of number line

Using a number line, we can:

•      Compare two numbers(Find greater or smaller)
•       Add two whole numbers
•       Subtract two numbers

Next on the blog….Comparison of two numbers using number line…

TANGENT (A direction to success): WHOLE NUMBERS

TANGENT (A direction to success): WHOLE NUMBERS: What are counting numbers?                                                                                                When we be...

WHOLE NUMBERS

What are counting numbers?

                                                                                              

When we begin to count, we begin with 1, 2, 3, 4…they come naturally. So, these numbers are called Natural Numbers. Natural numbers start from 1.

From all natural numbers, we chose a number say 7.

We know there is a number before 7 and a number after 7.

If we add 1 to 7 we get 7 + 1 = 8.  ‘8’ is called the successor of 7.

If we subtract 1 from 7 we get 7 – 1 = 6. ‘6’ is called the predecessor of 7.

Successor and Predecessor

Successor: The successor of a number is the number obtained by adding 1 to it.

1 is the successor of 0, 2 is the successor of 1, 2 is the successor of 1 and so on…

Predecessor: The Predecessor of a number is the number obtained by subtracting 1 from it.

1 is the Predecessor of 2, 2 is the Predecessor of 3 and so on.

Note that 1 does not have a Predecessor in natural numbers.

Whole Numbers

If we add 0 to the collection of Natural numbers we get whole numbers. All basic operations such as addition, subtraction, multiplication and division can be applied on Whole numbers.

So, 1 has a predecessor in whole numbers that is 0 but 0 does not have a predecessor.

Next we will be discussing number line….