Find using patterns: 264 × 25 .

Given that, We have to find the value of 264 × 25 using pattern. If there are numbers like 5 , 25 , 125 , 625 . . . . in pattern method, we round the number to the nearest 10 2 , 100 4 , 1000 8 , 10000 16 so that it can be solved easily. Thus, we get 264 × 100 4 = 66 × 100 = 6600 Therefore, the value is 6600 .

Find using patterns: 488 × 125 .

Given that, We have to find the value of 488 × 125 using pattern. If there are numbers like 5 , 25 , 125 , 625 . . . . in pattern method, we round the number to the nearest 10 2 , 100 4 , 1000 8 , 10000 16 so that it can be solved easily. Thus, we get 488 × 1000 8 = 61 × 1000 = 61000 Therefore, the value is 61000 .

Find using patterns: 96 × 625 .

Given that, We have to find the value of 96 × 625 using pattern. If there are numbers like 5 , 25 , 125 , 625 . . . . in pattern method, we round the number to the nearest 10 2 , 100 4 , 1000 8 , 10000 16 so that it can be solved easily. Thus, we get 96 × 10000 16 = 6 × 10000 = 60000 Therefore, the value is 60000 .

Observe the following pattern: 1 × 8 + 1 = 9 12 × 8 + 2 = 98 123 × 8 + 3 = 987 1234 × 8 + 4 = 9876 Now, find the value of 12345 × 8 + 5 .

Given that, 1 × 8 + 1 = 9 12 × 8 + 2 = 98 123 × 8 + 3 = 987 1234 × 8 + 4 = 9876 We have to find the value of 12345 × 8 + 5 . If we observe the above pattern clearly, in R.H.S the units place is one number less than the number in the units place of its preceding number and the digits left to units place is the same number as a preceding digit. So, the value of 12345 × 8 + 5 is 98765 .

Observe the following pattern: 1 × 8 + 1 = 9 12 × 8 + 2 = 98 123 × 8 + 3 = 987 1234 × 8 + 4 = 9876 Now, find the value of 1234567 × 8 + 7 .

Given that, 1 × 8 + 1 = 9 12 × 8 + 2 = 98 123 × 8 + 3 = 987 1234 × 8 + 4 = 9876 We have to find the value of 1234567 × 8 + 7 . If we observe the above pattern clearly, in R.H.S the units place is one number less than the number in the units place of its preceding number and the digits left to units place is same number as preceding digit. So, the next three sum of the given pattern is, 12345 × 8 + 5 = 98765 123456 × 8 + 6 = 987654 1234567 × 8 + 7 = 9876543 Therefore, the value of 1234567 × 8 + 7 is 9876543 .

Observe the following pattern: 1 × 8 + 1 = 9 12 × 8 + 2 = 98 123 × 8 + 3 = 987 1234 × 8 + 4 = 9876 Now, find the value of 123456789 × 8 + 9 .

Given that, 1 × 8 + 1 = 9 12 × 8 + 2 = 98 123 × 8 + 3 = 987 1234 × 8 + 4 = 9876 We have to find the value of 123456789 × 8 + 9 . If we observe the above pattern clearly, in R.H.S the units place is one number less than the number in the units place of its preceding number and the digits left to units place is same number as preceding digit. So, the next five sum of the given pattern is, 12345 × 8 + 5 = 98765 123456 × 8 + 6 = 987654 1234567 × 8 + 7 = 9876543 12345678 × 8 + 8 = 98765432 123456789 × 8 + 9 = 987654321 Therefore, the value of 123456789 × 8 + 9 is 987654321 .

E M B I B E

Essential ICSE Mathematics for Class 6>Numbers>Chapter 3 - Whole Numbers>EXERCISE 3B

Asit Das Gupta and Alok Kumar Solutions for Exercise 2: EXERCISE 3B

Author:Asit Das Gupta & Alok Kumar

Asit Das Gupta Mathematics Solutions for Exercise - Asit Das Gupta and Alok Kumar Solutions for Exercise 2: EXERCISE 3B

Attempt the free practice questions from Exercise 2: EXERCISE 3B with hints and solutions to strengthen your understanding. Essential ICSE Mathematics for Class 6 solutions are prepared by Experienced Embibe Experts.