Samacheer Kalvi Class 5 Maths Solutions Term 1 Chapter 2 Numbers Exercise 2.2

Tamilnadu Samacheer Kalvi 5th Maths Solutions Term 1 Chapter 2 Numbers Ex 2.2

Question 1. Consider the number 15,478
a. The place value of 7 is _______
b. The place value of 4 is _______
c. The place value of 1 is _______
Answer:
a. The digit 7 is in the tens place, so its value is \( 7 \times 10 = 70 \). Understanding place value helps us grasp the numerical structure of large numbers.
b. The digit 4 is in the hundreds place, so its value is \( 4 \times 100 = 400 \). The hundreds place tells us how many groups of one hundred a digit represents.
c. The digit 1 is in the ten thousands place, so its value is \( 1 \times 10,000 = 10,000 \). Each position in a number has a specific value based on powers of ten.
In simple words: For the number 15,478: The 7 is in the tens spot, so its value is 70. The 4 is in the hundreds spot, so its value is 400. The 1 is in the ten thousands spot, so its value is 10,000.

🎯 Exam Tip: Always identify the position of the digit (like ones, tens, hundreds) first, then multiply the digit by its place value to find the correct answer.

Question 2. Fill the table with the place value for the following numbers.
Answer:

🎯 Exam Tip: Pay close attention to the Indian place value system (ones, tens, hundreds, thousands, ten thousands, lakhs, ten lakhs, crores) when placing digits in the table.

Question 3. Find the difference between greatest 7 - Digit number and smallest 6-digit number.
Answer: The greatest 7-digit number is 99,99,999. The smallest 6-digit number is 1,00,000. To find the difference, we subtract the smaller number from the larger number. This calculation helps us understand the range between different number sizes.
Difference \( = 99,99,999 - 1,00,000 \)
\( = 98,99,999 \)
In simple words: The biggest number you can make with 7 digits is 99,99,999. The smallest number with 6 digits is 1,00,000. When you subtract the smaller number from the bigger one, you get 98,99,999.

🎯 Exam Tip: Remember that the greatest 'n' digit number is always 'n' nines (e.g., 999 for 3 digits), and the smallest 'n' digit number is 1 followed by 'n-1' zeros (e.g., 100 for 3 digits).