Find the value: 297 × 17 + 297 × 3

Given, 297 × 17 + 297 × 3 We know that in distributive property a × b + c = a × b + a × c Here a = 297 , b = 17 , c = 3 ⇒ 297 × 17 + 297 × 3 = 297 17 + 3 = 297 × 20 = 5940 Hence, 297 × 17 + 297 × 3 = 5940

Find the value: 54279 × 92 + 8 × 54279

Given, 54279 × 92 + 8 × 54279 We know that when a , b and c are whole numbers then by distributive property, a × b + c = a × b + a × c Here a = 54 , 279 ; b = 92 ; c = 8 Applying the distributive property in the given question, 54279 × 92 + 8 × 54279 = 54279 92 + 8 = 54279 × 100 = 5427900 Hence, 54279 × 92 + 8 × 54279 = 54 , 27 , 900

Find the value of the following: 81265 × 169 - 81265 × 69

Given, 81265 × 169 - 81265 × 69 We know that when a, b and c are whole numbers then by distributive property, a × b - c = a × b - a × c Here a = 81 , 265 ; b = 169 ; c = 69 81265 × 169 - 81265 × 69 = 81265 169 - 69 = 81265 × 100 Hence, 81265 × 169 - 81265 × 69 = 81 , 26 , 500 .

Find the value of the following: 3845 × 5 × 782 + 769 × 25 × 218

Given, 3845 × 5 × 782 + 769 × 25 × 218 . 3845 × 5 × 782 + 769 × 5 × 5 × 218 3845 × 5 × 782 + 3845 × 5 × 218 We can write 3845 = 5 × 769 . Then applying the distributive property a × b + c = a × b + a × c . Here a = 5 × 3845 ; b = 782 ; c = 218 3845 × 5 × 782 + 3845 × 5 × 218 = 3845 × 5 782 + 218 = 19225 1000 Hence, 3845 × 5 × 782 + 769 × 25 × 218 = 1 , 92 , 25 , 000 .

Match the following: ( i ) 425 × 136 = 425 × 6 + 30 + 100 Commutativity under multiplication ( i i ) 2 × 49 × 50 = 2 × 50 × 49 Commutativity under addition ( i i i ) 80 + 2005 + 20 = 80 + 20 + 2005 Distributivity of multiplication over addition

Given, 425 × 136 = 425 × 100 + 30 + 6 We know that the operation is distributive property of multiplication over addition: a × b + c = a × b + a × c . Hence, 425 × 136 = 425 × 100 + 30 + 6 shows distributive property of multiplication over addition. In i i . Given, 2 × 49 × 50 = 2 × 50 × 49 We know that this is commutative property of multiplication: a × b = b × a . Hence, 2 × 49 × 50 = 2 × 50 × 49 shows commutative property of multiplication. In i i i . Given, 80 + 2005 + 20 = 80 + 20 + 2005 We know that this is commutative property of addition : a + b = b + a . Hence, 80 + 2005 + 20 = 80 + 20 + 2005 shows commutative property of addition . Distributive property of multiplication over addition- ( i ) , Commutative property of multiplication- ( i i ) , Commutative property of addition - ( i i i ) .

E M B I B E

START UP MATHEMATICS>Chapter 2 - Whole Numbers>THINKING SKILLS>Q 7

EASY

6th CBSE

IMPORTANT

Earn 100

Describe a real life situation that could be represented by the expression $8 \times 4 + 6$ .

Important Questions on Whole Numbers

MEDIUM

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Whole Numbers>VALUES AND LIFE SKILLS>Q 1

A bus moves at a constant speed of

96 km

per hour. How much distance will it cover in

14 h

? Is it safe to drive above the speed limit?

MEDIUM

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Whole Numbers>VALUES AND LIFE SKILLS>Q 2

In a canteen, a dosa costs

₹ 10

and a cup of tea costs

₹ 3

. Reena had a dosa and a cup of tea everyday for

11

days. How much money did she spend in the canteen? Is it good for your health to eat canteen's food regularly?

MEDIUM

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Whole Numbers>SOME NCERT TEXTBOOK QUESTIONS>Q 1

Find the value: $297 \times 17 + 297 \times 3$

EASY

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Whole Numbers>SOME NCERT TEXTBOOK QUESTIONS>Q 1

Find the value: $54279 \times 92 + 8 \times 54279$

EASY

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Whole Numbers>SOME NCERT TEXTBOOK QUESTIONS>Q 1

Find the value of the following:

$81265 \times 169 - 81265 \times 69$

MEDIUM

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Whole Numbers>SOME NCERT TEXTBOOK QUESTIONS>Q 1

Find the value of the following:

$3845 \times 5 \times 782 + 769 \times 25 \times 218$

MEDIUM

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Whole Numbers>SOME NCERT TEXTBOOK QUESTIONS>Q 2

A vendor supplies

32 litres

of milk to a hotel in the morning and

68 litres

of milk in the evening. If the milk costs

₹ 15 per litre

how much money is due to the vendor per day.

EASY

6th CBSE

IMPORTANT

START UP MATHEMATICS>Chapter 2 - Whole Numbers>SOME NCERT TEXTBOOK QUESTIONS>Q 3

Match the following:

$(i)$	$425 \times 136 = 425 \times (6 + 30 + 100)$	Commutativity under multiplication
$(i i)$	$2 \times 49 \times 50 = 2 \times 50 \times 49$	Commutativity under addition
$(i i i)$	$80 + 2005 + 20 = 80 + 20 + 2005$	Distributivity of multiplication over addition