2nd Grade Place Value
The value of a digit in a given number depends on its place or position in the number. This value is called its place value.
Let us consider numbers 5 and 38.
T O
5 → 1-digit number
3 8 → 2-digit number
In number 5, the digit 5 is at ones place. So, its place value is 5.
In number 38,
⇨ the digit 8 is at ones place. So, its place value is 8, and
⇨ the digit 3 is at tens place. So, its place value is 30.
Let us take some more examples.
Let us look at the abacus given at right side.
Tens spike has 5 beads which show 5 tens and ones spike has 3 beads which show 3 ones. 5 tens mean 50 and 3 ones mean 3.
Thus, 5 tens and 3 ones = 50 + 3 = 53.
Now, look at the another abacus shown at left side. 3 beads in tens spike show 3 tens or 30 and 5 beads in ones spike show 5 ones or 5.
Thus, 3 tens and 5 ones = 30 + 5 = 35
The place value of 5 in 53 is 50 and the place value of 3 in 53 is 3.
The place value of 3 in 35 is 30 and the place value of 5 in 35 is 5.
From the above discussion, we find that in the number 53, the value of 5 is greater than the value of 3 (50 > 3) and in the number 35, the value of 5 is lesser than the value of 3 (5 < 30).
This is because of its place value.
Thus, the place value of a digit is the value of the digit because of its place in a number.
Remember
The place value of zero (0) is always zero (0).
For Example: Write the place value of the following:
(i) 5 in 75
(ii) 8 in 89
(iii) 4 in 47
(iv) 0 in 60
Solution:
(i) The place value of 5 in 75 is 5
(ii) The place value of 8 in 89 is 80
(iii) The place value of 4 in 47 is 40
(iv) The place value of 0 in 60 is 0
Place Value and Face Value of 3-Digit Numbers:
Place value is the value of a digit depending upon its place or position in the number.
Consider the number 679.
The place value of 6 in 679 is 600 and its face value is 6.
The place value of 7 in 679 is 70 and its face value is 7.
The place value of 9 in 679 is 9 and its face value is 9.
Examples on Place Value and Face Value of 3-Digit Numbers:
1. Write the place value of each digit of the given three digit numbers:
(i) 851
(ii) 706
(iii) 875
Solution:
(i) Place value of 8 = 800
Place value of 5 = 50
Place value of 1 = 1
(ii) Place value of 7 = 700
Place value of 0 = 0
Place value of 6 = 6
(iii) Place value of 8 = 800
Place value of 7 = 70
Place value of 5 = 5
Worksheet on 2nd Grade Place Value:
1. Write the place value of
(i) 6 in 6
(ii) 8 in 80
(iii) 9 in 19
(iv) 4 in 43
(v) 5 in 45
(vi) 2 in 26
(vii) 7 in 71
(viii) 1 in 91
(ix) 2 in 12
(x) 6 in 65
(xi) 4 in 94
(xii) 1 in 19
(xiii) 3 in 43
(xiv) 8 in 18
(xv) 6 in 69
(xvi) 7 in 37
Answer:
1. (i) The place value of 6 in 6 is 6
(ii) The place value of 8 in 80 is 80
(iii) The place value of 9 in 19 is 9
(iv) The place value of 4 in 43 is 40
(v) The place value of 5 in 45 is 5
(vi) The place value of 2 in 26 is 20
(vii) The place value of 7 in 71 is 70
(viii) The place value of 1 in 91 is 1
(ix) The place value of 2 in 12 is 2
(x) The place value of 6 in 65 is 60
(xi) The place value of 4 in 94 is 4
(xii) The place value of 1 in 19 is 10
(xiii) The place value of 3 in 43 is 3
(xiv) The place value of 8 in 18 is 8
(xv) The place value of 6 in 69 is 60
(xvi) The place value of 7 in 37 is 7
2. Write the place value of each digit in the following numbers. One ha been done for you:
(i) 34
The place vale of 3 in 34 is 30
The place vale of 4 in 34 is 4
(ii) 78
(iii) 49
(iv) 63
(v) 80
(vi) 57
Answer:
(ii) The place vale of 7 in 78 is 70
The place vale of 8 in 78 is 8
(iii) The place vale of 4 in 49 is 40
The place vale of 9 in 49 is 9
(iv) The place vale of 6 in 63 is 60
The place vale of 3 in 63 is 3
(v) The place vale of 8 in 80 is 80
The place vale of 0 in 80 is 0
(vi) The place vale of 5 in 57 is 50
The place vale of 7 in 57 is 7
3. Write the place value of the coloured digits in the following numbers One has been done for you:
(i) 72
The place value of 7 is 70.
(ii) 48
(iii) 93
(iv) 48
(v) 56
(vi) 26
Answer:
3. (i) 72
The place value of 7 is 70.
(ii) 48
The place value of 8 is 8.
(iii) 93
The place value of 9 is 90.
(iv) 48
The place value of 4 is 40.
(v) 56
The place value of 5 is 50.
(vi) 26
The place value of 6 is 6.
4. Write the numbers for the given place values. One has been done for you:
(i) The place value of tens place = 60 and place value of ones = 5
The number is 65.
(ii) The place value of tens place = 50 and place value of ones = 7
(iii) The place value of tens place = 30 and place value of ones = 0
(iv) The place value of tens place = 30 and place value of ones = 3
(v) The place value of tens place = 40 and place value of ones = 9
(vi) The place value of tens place = 90 and place value of ones = 6
Answer:
4. (ii) The number is 57.
(iii) The number is 30.
(iv) The number is 33.
(v) The number is 49.
(vi) The number is 96.
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