6 th maths 1.2

 

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KALAIMAGAL ACADEMY

6th Standard Samacheer Kalvi Maths

Chapter 1: Numbers — Exercise 1.2 Solutions

EXERCISE 1.2

1. Fill in the blanks with > or < or =.

1. 48792 < 48972 (Since 7 Hundreds is less than 9 Hundreds)
2. 1248654 = 1248654 (Both numbers are exactly identical)
3. 658794 = 658794 (Both numbers are exactly identical)

2. Say True or False.

1. The difference between the smallest number of seven digits and the largest number of six digits is 10.
   Answer: False
   Reason: Smallest 7-digit number = 10,00,000; Largest 6-digit number = 9,99,999. Their difference is 10,00,000 − 9,99,999 = 1.
2. The largest 4-digit number formed by the digits 8, 6, 0, 9 using each digit only once is 9086.
   Answer: False
   Reason: To form the largest number, arrange digits in descending order: 9, 8, 6, 0. So the correct number is 9860.
3. The total number of 4 digit numbers is 9000.
   Answer: True
   Reason: Largest 4-digit number = 9999; Largest 3-digit number = 999. Total 4-digit numbers = 9999 − 999 = 9000.

3. Of the numbers 1386787215, 137698890, 86720560, which one is the largest? Which one is the smallest?

• Largest Number: 1386787215 (It has 10 digits, whereas the others have 9 and 8 digits respectively).
• Smallest Number: 86720560 (It has only 8 digits).

4. Arrange the following numbers in the descending order:

128435, 10835, 21354, 6348, 25840

Answer: 128435, 25840, 21354, 10835, 6348
(Arranged from highest value to lowest value based on digit counts and place values).

5. Write any eight digit number with 6 in ten lakhs place and 9 in ten thousandth place.

Answer: 3,60,90,000 (Example)
Explanation: Place Value structure: [Cr] [Ten-Lakh: 6] [Lakh] [Ten-Th: 9] [Th] [H] [T] [O]. Any remaining slots can be filled with numbers or zeros, e.g., 1,62,95,437 is also correct.

6. Rajan writes a 3-digit number, using the digits 4, 7 and 9. What are the possible numbers he can write?

Answer: The possible 3-digit numbers using each digit are:
479, 497, 749, 794, 947, 974 (Total 6 combinations).

7. The password to access my ATM card includes the digits 9, 4, 6 and 8. It is the smallest 4 digit even number. Find the password of my ATM Card.

Answer: 4698
Explanation: To make it the smallest number, digits must be arranged in ascending order: 4, 6, 8, 9. However, it must be an even number (ending in an even digit). Moving the largest odd digit (9) before the final even position gives 4698, which ends in 8 and is the smallest possible even arrangement.

8. Postal Index Number consists of six digits. The first three digits are 6, 3, and 1. Make the largest and the smallest Postal Index Number by using the digits 0, 3 and 6, each only once.

Given starting digits: 631 _ _ _

• Largest PIN: Arrange remaining digits (0, 3, 6) in descending order (6, 3, 0) → 631630
• Smallest PIN: Arrange remaining digits (0, 3, 6) in ascending order (0, 3, 6) → 631036

9. The heights (in metres) of the mountains in Tamil Nadu are as follows:

Sl. No	Mountains	Height (in metres)
1	Doddabetta	2637
2	Mahendragiri	1647
3	Aanaimudi	2695
4	Velliangiri	1778

1. Which is the highest mountain listed above?
   Answer: Aanaimudi (2695 m)
2. Order the mountains from the highest to the lowest.
   Answer: Aanaimudi (2695 m) > Doddabetta (2637 m) > Velliangiri (1778 m) > Mahendragiri (1647 m)
3. What is the difference between the heights of the mountains Aanaimudi and Mahendragiri?
   Answer: 1048 m
   Calculation: Height of Aanaimudi − Height of Mahendragiri = 2695 − 1647 = 1048 metres.