What is 15 ÷ 5 ? Is it the same as 5 ÷ 15 ? Why?

Given: 15 ÷ 5 Let us first find the quotients from the expressions: 15 ÷ 5 = 3 and 5 ÷ 15 = 0 . 333 So, it is evident that both the answers are not the same. This is because, in the case of divisions, the dividend and divisor are interchanged if the order of the number changes. Thus, the order of the numbers matters here. So, the commutative property does not hold true for division of whole numbers.

What is the value of ( 100 ÷ 10 ) ÷ 5 ? Is it the same as 100 ÷ ( 10 ÷ 5 ) ? Why?

Given: 100 ÷ 10 ÷ 5 Let us first find the value of both the expressions: ( 100 ÷ 10 ) ÷ 5 = 10 ÷ 5 = 2 100 ÷ 10 ÷ 5 = 100 ÷ 2 = 50 So, it is evident that both the answers are not the same. Thus, if we change the order of the numbers, there will be a change in the answer. So, order of the numbers is important here and associative property does not hold true for division of whole numbers.

Is 10 ÷ 5 , the same as 5 ÷ 10 ? Justify it by taking two more combinations of numbers.

Given: 10 ÷ 5 and 5 ÷ 10 If the order of the numbers does not affect the result of the operation being performed, then that is called commutative property. The commutative property does not hold true for the division of whole numbers. Let us consider the examples below: (i) 15 ÷ 3 ≠ 3 ÷ 15 Because 15 ÷ 3 is 5 and 3 ÷ 15 is 0 . 2 (ii) 16 ÷ 2 ≠ 2 ÷ 16 Because 16 ÷ 2 = 8 and 8 ÷ 16 = 0 . 5 This is because, in the case of divisions, the dividend and divisor are interchanged if the order of the number changes. Thus, order of the numbers matters here. So, division is not commutative.

Complete the following table. 9 + 0 = 9 7 + 0 = 0 + 17 = 17 0 + = 37 0 + =

Given: 9 + 0 = 9 7 + 0 = 0 + 17 = 17 0 + = 37 0 + = We know that, When zero is added to any number, we get the same number. So, zero is called the additive identity for whole numbers. Thus, the completed table is as follows: 9 + 0 = 9 7 + 0 = 7 0 + 17 = 17 0 + 37 = 37 0 + 27 = 27

Complete the following table. 11 × 1 = 11 1 × 55 = 55 1 × 12 = 1 × = 100 1 × =

Given: 11 × 1 = 11 1 × 55 = 55 1 × 12 = 1 × = 100 1 × = We know that, When we multiply any number by 1 , we get the same number. So, 1 is called the multiplicative identity for whole numbers. Thus, the completed table is as follows: 11 × 1 = 11 1 × 55 = 55 1 × 12 = 12 1 × 100 = 100 1 × 22 = 22

Complete the table 6 + 8 = 14 , a natural number 4 + 5 = 9 , a natural number 4 × 5 = 20 , a natural number 6 × 8 = 48 , a natural number + = + = × = × = 6 + 8 = 14 , a whole number 4 + 5 = 9 , a whole number 15 × 0 = 0 , a whole number 11 × 2 = 22 , a whole number + = + = × = × =

From the given table, When we add or multiply any two natural numbers, we get a natural number. When we add a natural number and a whole number, we get a natural number. When we multiply a natural number by a whole number, we get a whole number. Thus , the completed table is as follows: 6 + 8 = 14 , a natural number 4 + 5 = 9 , a natural number 4 × 5 = 20 , a natural number 6 × 8 = 48 , a natural number 2 + 3 = 5 , a natural number 8 + 9 = 17 , a natural number 5 × 2 = 10 , a natural number 7 × 3 = 21 , a natural number 6 + 8 = 14 , a whole number 4 + 5 = 9 , a whole number 15 × 0 = 0 , a whole number 11 × 2 = 22 , a whole number 3 + 3 = 6 , a whole number 6 + 4 = 10 , a whole number 14 × 0 = 0 , a whole number 12 × 2 = 24 , a whole number

E M B I B E

Mathematics Standard 6 Term I>Chapter 1 - Numbers>Try these>Q (i)

EASY

6th Tamil Nadu Board

IMPORTANT

Earn 100

Is $7 - 5$ , the same as $5 - 7$ ? Why?

Important Questions on Numbers

EASY

6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 1 - Numbers>Try these>Q (ii)

What is the value of $(15 - 8) - 6$ ? Is it the same as $15 - (8 - 6)$ ? Why?

EASY

6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 1 - Numbers>Try these

What is $15 \div 5$ ? Is it the same as $5 \div 15$ ? Why?

EASY

6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 1 - Numbers>Try these

What is the value of $(100 \div 10) \div 5$ ? Is it the same as $100 \div (10 \div 5)$ ? Why?

EASY

6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 1 - Numbers>Try these

Use at least three different pairs of numbers to verify that subtraction is not commutative.

EASY

6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 1 - Numbers>Try these

Is

10 \div 5

, the same as

5 \div 10

? Justify it by taking two more combinations of numbers.

EASY

6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 1 - Numbers>Try these

Complete the following table.

9	+	0	=	9
7	+	0	=
0	+	17	=	17
0	+		=	37
0	+		=

EASY

6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 1 - Numbers>Try these

Complete the following table.

11	×	1	=	11
1	×	55	=	55
1	×	12	=
1	×		=	100
1	×		=

EASY

6th Tamil Nadu Board

IMPORTANT

Mathematics Standard 6 Term I>Chapter 1 - Numbers>Try these

Complete the table

$6$	$+$	$8$	$=$	$14$ , a natural number
$4$	$+$	$5$	$=$	$9$ , a natural number
$4$	$\times$	$5$	$=$	$20$ , a natural number
$6$	$\times$	$8$	$=$	$48$ , a natural number
	$+$		$=$
	$+$		$=$
	$\times$		$=$
	$\times$		$=$
$6$	$+$	$8$	$=$	$14$ , a whole number
$4$	$+$	$5$	$=$	$9$ , a whole number
$15$	$\times$	$0$	$=$	$0$ , a whole number
$11$	$\times$	$2$	$=$	$22$ , a whole number
	$+$		$=$
	$+$		$=$
	$\times$		$=$
	$\times$		$=$