Check the following for equality. ( 8 - 13 ) × 7 and 8 - ( 13 × 7 )

Given, ( 8 - 13 ) × 7 and 8 - ( 13 × 7 ) . LHS = ( 8 - 13 ) × 7 = - 5 × 7 = - 35 RHS = 8 - ( 13 × 7 ) = 8 - 91 = - 83 ⇒ LHS ≠ RHS ∴ ( 8 - 13 ) × 7 ≠ 8 - ( 13 × 7 ) .

Check the following for equality. [ ( - 6 ) - ( + 8 ) ] × ( - 4 ) and ( - 6 ) - [ 8 × ( - 4 ) ]

Given, [ ( - 6 ) - ( + 8 ) ] × ( - 4 ) and ( - 6 ) - [ 8 × ( - 4 ) ] . LHS = [ ( - 6 ) - ( + 8 ) ] × ( - 4 ) = [ ( - 6 ) + ( - 8 ) ] × ( - 4 ) = ( - 14 ) × ( - 4 ) = + 56 RHS = ( - 6 ) - [ 8 × ( - 4 ) ] = - 6 - ( - 32 ) = - 6 + ( + 32 ) = + 26 ⇒ LHS ≠ RHS ∴ [ ( - 6 ) - ( + 8 ) ] × ( - 4 ) ≠ ( - 6 ) - [ 8 × ( - 4 ) ] .

Check the following for equality. 3 × [ ( - 4 ) + ( - 10 ) ] and [ 3 × ( - 4 ) + 3 × ( - 10 ) ]

Given, 3 × [ ( - 4 ) + ( - 10 ) ] and [ 3 × ( - 4 ) + 3 × ( - 10 ) ] . LHS = 3 × [ ( - 4 ) + ( - 10 ) ] = 3 × ( - 14 ) = - 42 RHS = [ 3 × ( - 4 ) + 3 × ( - 10 ) ] = ( - 12 ) + ( - 30 ) = - 42 ⇒ LHS = RHS Therefore, 3 × [ ( - 4 ) + ( - 10 ) ] = [ 3 × ( - 4 ) + 3 × ( - 10 ) ] .

Match the statements in Column A and Column B. Sl. No A B 1. For any two integers 72 and 108 , 72 + 108 is also an integer. (a) Distributive property of multiplication over addition. 2. For any three integers 68 , 25 and 99 68 × ( 25 + 99 ) = ( 68 × 25 ) + ( 68 × 99 ) (b) Multiplicative identity. 3. 0 + ( - 138 ) = ( - 138 ) = ( - 138 ) + 0 (c) Commutative property under multiplication. 4. For any two integers ( - 5 ) and 10 ( - 5 ) × 10 = 10 × ( - 5 ) (d) Closed under addition. 5. 1 × ( - 1098 ) = ( - 1098 ) = ( - 1098 ) × 1 (e) Additive identity.

Given, Sl. No A B 1. For any two integers 72 and 108 , 72 + 108 is also an integer. (a) Distributive property of multiplication over addition. 2. For any three integers 68 , 25 and 99 68 × ( 25 + 99 ) = ( 68 × 25 ) + ( 68 × 99 ) (b) Multiplicative identity. 3. 0 + ( - 138 ) = ( - 138 ) = ( - 138 ) + 0 (c) Commutative property under multiplication. 4. For any two integers ( - 5 ) and 10 , ( - 5 ) × 10 = 10 × ( - 5 ) (d) Closed under addition. 5. 1 × ( - 1098 ) = ( - 1098 ) = ( - 1098 ) × 1 (e) Additive identity. (a) Distributive property of multiplication over addition: The distributive property of multiplication over addition is applied when you multiply a value by a sum. It is being applied in option 2 . (b) Multiplicative identity: The multiplicative identity property means that when something is multiplied by 1 ,then it will remain the same as the other number. It is being applied in option 5 . (c) Commutative property under multiplication: According to the commutative property of multiplication, changing the order of the numbers we are multiplying, does not change the product. It is being applied in option 4 . (d) Closed under addition: The sum of two integers is an integer. Since, addition of integers gives an integer, we say that integers are closed under addition. This property is known as closure property of integers on addition. It is being applied in option 1 . (e) Additive identity: The additive identity property says that if you add a real number to zero or add zero to a real number, then you get the same real number back. The number zero is known as the identity element, or the additive identity. It is being applied in option 3 . Therefore, the matched result is, Sl. No A B 1. For any two integers 72 and 108 , 72 + 108 is also an integer. (d) Closed under addition. 2. For any three integers 68 , 25 and 99 68 × ( 25 + 99 ) = ( 68 × 25 ) + ( 68 × 99 ) (a) Distributive property of multiplication over addition. 3. 0 + ( - 138 ) = ( - 138 ) = ( - 138 ) + 0 (e) Additive identity. 4. For any two integers ( - 5 ) and 10 , ( - 5 ) × 10 = 10 × ( - 5 ) (c) Commutative property under multiplication. 5. 1 × ( - 1098 ) = ( - 1098 ) = ( - 1098 ) × 1 (b) Multiplicative identity.

E M B I B E

Mathematics Standard 7 Term I>Chapter 1 - Number System>Exercise 1.6>Q 8

EASY

7th Tamil Nadu Board

IMPORTANT

Earn 100

Find two pairs of integers whose product is $+ 15$ .

Important Questions on Number System

EASY

7th Tamil Nadu Board

IMPORTANT

Mathematics Standard 7 Term I>Chapter 1 - Number System>Exercise 1.6>Q 9

Check the following for equality.

$(11 + 7) + 10 and 11 + (7 + 10)$

EASY

7th Tamil Nadu Board

IMPORTANT

Mathematics Standard 7 Term I>Chapter 1 - Number System>Exercise 1.6>Q 9

Check the following for equality.

$(8 - 13) \times 7 and 8 - (13 \times 7)$

EASY

7th Tamil Nadu Board

IMPORTANT

Mathematics Standard 7 Term I>Chapter 1 - Number System>Exercise 1.6>Q 9

Check the following for equality.

$[(- 6) - (+ 8)] \times (- 4) and (- 6) - [8 \times (- 4)]$

EASY

7th Tamil Nadu Board

IMPORTANT

Mathematics Standard 7 Term I>Chapter 1 - Number System>Exercise 1.6>Q 9

Check the following for equality.

$3 \times [(- 4) + (- 10)] and [3 \times (- 4) + 3 \times (- 10)]$

MEDIUM

7th Tamil Nadu Board

IMPORTANT

Mathematics Standard 7 Term I>Chapter 1 - Number System>Exercise 1.6>Q 10

Kalaivani had

₹ 5000

in her bank account on

01.01.2018

. She deposited

₹ 2000

in January and withdrew

₹ 700

in February. What was Kalaivani's bank balance on

01.04 . 2018

, if she deposited

₹ 1000

and withdraw

₹ 500

in March.

MEDIUM

7th Tamil Nadu Board

IMPORTANT

Mathematics Standard 7 Term I>Chapter 1 - Number System>Exercise 1.6>Q 11

The price of an item

x

increases by

₹ 10

every year and an item

y

decreases by

₹ 15

every year. If in

2018

, the price of

x

is

₹ 50

and

y

is

₹ 90

, then which item will be costlier in the year

2020 ?

HARD

7th Tamil Nadu Board

IMPORTANT

Mathematics Standard 7 Term I>Chapter 1 - Number System>Exercise 1.6>Q 12

Match the statements in Column A and Column B.

Sl. No	A	B
1.	For any two integers $72$ and $108, 72 + 108$ is also an integer.	(a) Distributive property of multiplication over addition.
2.	For any three integers $68, 25$ and $99$ $68 \times (25 + 99) = (68 \times 25) + (68 \times 99)$	(b) Multiplicative identity.
3.	$0 + (- 138) = (- 138) = (- 138) + 0$	(c) Commutative property under multiplication.
4.	For any two integers $(- 5)$ and $10$ $(- 5) \times 10 = 10 \times (- 5)$	(d) Closed under addition.
5.	$1 \times (- 1098) = (- 1098) = (- 1098) \times 1$	(e) Additive identity.