We are familiar with the concept of comparing numbers and finding the biggest among them. We use symbols <, > and = to compare any two numbers.

**Comparison of Numbers**

We are familiar with the concept of comparing numbers
and finding the biggest among them. We use symbols <, > and = to compare any
two numbers.

__ __

__1. Comparing numbers with unequal
number of digits__

1. When we compare two
numbers 16090 and 100616, we have already learnt that the number with more digits
is greater.

Hence, 1,00,616 (6 digit number) > 16,090 (5
digit number).

2. Suppose we are given more than two numbers say
1468, 5, 201, 69 and 70000. Then among these, we can immediately say that the number
70000 is the greatest and 5 is the least, based on the number of digits.

**Try these**

**1. Write
the numbers in the ascending order: 688, 9, 23005, 50, 7500.**

**Solution:** Ascending order 9, 50, 688, 7500, 23005

**2. Find the least and the greatest
among the numbers: 478, 98, 6348, 3, 6007, 50935.**

**Solution:**

least number = 3

greatest number = 50935

__2. Comparing numbers with equal number
of digits__

Think about the situation

In a distance analysis chart, the distance between
Chennai and New Delhi is 2180 *km* and Chennai
to Noida is 2158 *km* respectively. Which
city is farther from Chennai?

Compare the given numbers 2180 and 2158 using the
above mentioned steps.

Hence, 2180 > 2158.

**Example 1.4**

Compare 59283746 and
59283748 using place value chart.

**Solution**

Step 1: Number of digits in the two given
numbers are equal.

Step 2: Compare the place values using the
place value chart.

Compare the digits of the two numbers from the highest
place value as noted below.

5 = 5, 9 = 9, 2 = 2, 8 = 8, 3 = 3, 7 = 7, 4 = 4,
6 < 8

Here only the digits in the ones place are not equal
and 6 < 8.

Hence, 59283746 < 59283748.

**Try these**

Compare the two numbers and put <,
> and = using place value chart.

The number

**10 ^{100}**

The number **10 ^{googol}
= 10^{(}**

Tags : Numbers | Term 1 Chapter 1 | 6th Maths , 6th Maths : Term 1 Unit 1 : Numbers

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6th Maths : Term 1 Unit 1 : Numbers : Comparison of Numbers | Numbers | Term 1 Chapter 1 | 6th Maths

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