Understanding Place Value

1) 28

Method 1: Place value of 8 = 8

Place value of 2 = 20

Therefore, 2 tens and 8 ones.

(or)

Method 2: Let’s understand the same concept using images. Let’s say we have 28 chairs. Let’s group the chairs into tens and ones. Two sets of 10 chairs each are grouped to form 2 tens and are shifted to the tens column. Now we have 8 chairs remaining. They are kept in the ones column as shown in the table.

Hence, 2 tens make 20, and 8 ones make 8. So, 2 tens and 8 ones make 28.

2) 14

Method 1: Place value of 4 = 4

Place value of 1 = 10

Therefore, 1 ten and 4 ones.

(or)

Method 2: Let’s understand the same concept using images. We have 14 balloons in this example. Let’s group the balloons into tens and ones. One group of 10 balloons is grouped to form 1 ten and is shifted to the tens column. Now we have 4 balloons remaining. They are kept in the ones column as shown below. 

1 ten makes 10, and 4 ones make 4. So, 1 ten and 4 ones make 14.

3) 16

Method 1: Place value of 6 = 6

Place value of 1 = 10

Therefore, 1 ten and 6 ones.

(or)

Method 2: Let’s understand the same concept by creating sets of images. Let’s say we have 16 apples. Let’s group the apples into tens and ones. One group of 10 apples is grouped to form 1 ten and is shifted to the tens column. Now we have 6 apples remaining. They are placed in the ones column as shown below. 

1 ten makes 10, and 6 ones make 6. So, 1 ten and 6 ones make 16.

4) 21

Method 1: Place value of 1 = 1

Place value of 2 = 20

Therefore, 2 tens and 1 one.

(or)

Method 2: As usual, we can also use images to represent the place value of this number. Say, we have 21 tennis balls. Let’s group these balls into tens and ones. Two groups of 10 balls each are grouped to form 2 tens and are shifted to the tens column. Now we have 1 ball remaining. We can add it to the ones column as shown below. 

5) 46

Method 1: Place value of 6 = 6

Place value of 4 = 40

Therefore, 4 tens and 6 ones.

(or)

Method 2: We can use pictures of mangoes to clearly understand place value. There are 46 mangoes. Let’s group the mangoes into tens and ones. Four groups of 10 mangoes each are grouped to form 4 tens and are shifted to the tens column. The 6 mangoes that are remaining. Are added to the ones column as shown. 

4 tens make 40, and 6 ones make 6. The sum of 4 tens and 6 ones is 46.

6) You have 82 charms. If you want to make bracelets with each bracelet containing 10 charms. How many bracelets do you think you’ll be able to make?

The place value of 2 in 82 is 2 ones = 2, and the place value of 8 in 82 is 8 tens = 80. So , you have 8 tens and 2 units of charms. But you need 1 ten or 10 charms to make each bracelet.

Therefore, you can make 8 bracelets and 2 charms will be left with you.

7) You have 65 seeds. Ten seeds are to be planted in a row. What is the maximum number of rows you can sow these seeds?

The place value of 5 in 65 is 5 ones = 5, and, the place value of 6 in 65 is 6 tens = 60. 

So you have 6 tens and 5 units of seeds. However, 1 ten or 10 seeds can be planted in a row.

Therefore, you can plant in 6 rows and 5 seeds will remain.

8) You have a total of 78 crayons. Ten crayons can be stored in a box. How many boxes do you think you can fill?

The place value of 8 in 78 is 8 ones = 8, and, the place value of 7 in 78 is 7 tens = 70. 

So you have 7 tens and 8 units of crayons to fill in a box. However, 1 ten or 10 crayons can be stored in a box. 

Therefore there are 7 boxes that can be filled with 8 crayons remaining with you.