Ordering integers — lesson. Mathematics CBSE, Class 6.

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Write the integers from the smallest to the greatest.
Write the integers from the greatest to the smallest.

Arranging the numbers from the smallest to the greatest is called ascending order.

Example:

Order the following integer from the smallest to the greatest.

$-125$ ,

$84$ ,

$0$ ,

$-152$ ,

$56$ .

Step 1: First split the positive numbers and negative numbers.

$84$ and

$56$ are positive numbers.

$-125$ and

$-152$ are negative numbers.

$0$ is neither a positive nor a negative number.

Step 2: The greatest number with a negative sign is the smallest of all.

$-152 < -125$ .

Step 3: Negative numbers are always lesser than zero.

$-152 < -125 < 0$ .

Step 4: The remaining numbers are

$84$ and

$56$ . Here

$8 > 5$ (left-most digits).

$-152 < -125 < 0 < 56 < 84$ .

Thus, the ascending order of the set of values is

$-152 < -125 < 0 < 56 < 84$ .

Arranging the numbers from the greatest to the smallest is called descending order.

Example:

Consider the same set of numbers

$-125$ ,

$84$ ,

$0$ ,

$-152$ ,

$56$ .

As the descending order is the greatest to the smallest, let us arrange it in the reverse order.

The descending order of the set of values is

$84$

$>$

$56$

$>$

$0$

$>$

$-125$

$>$

$-152$ .

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4. Ordering integers

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