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.

2nd Grade Math Worksheets

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