Distributivity

Q.

If the product of two whole numbers is $1$, can we say that one or both of them will be $1$? Justify through examples.

Q.

Question 4(a)

Find the product using suitable properties:

$738\times 103$

Q.

Question 4(e)

Find using distributive property:

$504\times 35$

Q.

One thousand less than one lakh is

Q.

Using the most convenient combinations , find the sum of the following

$1823+4282+2177+1718+9245$.

Q.

Q.

Question 3(c)

Find the value of the following:

$81265\times 169-81265\times 69$

Q.

Question 3(b)

Find the value of the following:

$54279\times 92+8\times 54279$

Q. A dealer purchased 124 LED sets. If the cost of one set is ₹38, 540, determine their total cost.

Q.

Using suitable properties, find the value of following:

Simplify:

a) $126\times 55+126\times 45$

b) $89\times 48$

c) $49\times 12$
[3 MARKS]

Q. According to the distributive law of multiplication over addition, for any integers a, b and c;
$a\times (b+c)=$ _________

1. $(a\times b)+(a\times c)$
2. $(a\times b)-(a\times c)$
3. $(a\times c)-(b\times c)$
4. $a-(b\times c)-b$

Q.

Solve the following word problems.

Anjali and Anand went on a tour to Singapore. Each day, they travelled $580km.$ What was the total distance travelled by them in $6$days $?$ If they paid $₹38,280$ for their travel, how much did they pay per kilometre $?$

Q.

Find the value of each of the following using various properties.

16825 x 16825 - 16825 x 6825

Q. Kiran eats from a hotel which charges ₹ 60 for lunch and ₹ 50 for dinner. Find the money he has to pay for 7 days.

1. 
   ₹ 740
2. ₹ 750
3. 
   ₹760
4. 
   ₹770

Q.

Find the product by a suitable rearrangement:
$8\times 291\times 125$

Q. Find $285\times 98$ using distributive property ?

Q.

Question 123

Fill in the blank to make the statement true.
Multiplication is distributive over _____ for whole numbers.

Q.

Question 3(b)

Find the value of the following:

$54279\times 92+8\times 54279$

Q.

Marko currently has $20$ tulips in his yard. Each year he plants $5$ more.
Write an explicit formula for the number of tulips Marko has

Q. Fill in the blank.
12 x (10 + __ ) = 12 x __ + 12 x 85

1. 10, 85
2. 85, 10
3. 12, 10
4. 85, 12

Q. Evaluate the following, using the distributive property.
$\left(i\right)-39\times 99$
(ii) $(-85)\times 43+43\times (-15)$
(iii) $53\times (-9)-(-109)\times 53$
(iv) $68\times (-17)+(-68)\times 3$

Q.

Which of the following illustrates the distributive property?

1. x + y = y + x

2. x + (-x) = 0

3. xy = yx

4. x(y + z) = xy + xz

Q.

Complete the addition and subtraction box.

Q. Fill in the blank with correct answer.
294 x 7 = 294 x 4 + 294 x ___

1. 
   4
2. 
   3
3. 
   11
4. 
   7

Q.

$(-25)\times (-2)=\_\_\_\_.$ Fill in the blanks to make the statement true.

Q. State true or false.
a $\times$ (b + c) = a $\times$ c + b $\times$ a

1. True
2. False

Q.

Find the value of $493\times 9999+493$by using suitable properties.

Q.

Using the shorter method, simplify the given one.

$6135\times 999$

Q.

Solve using the distributive property.

$722\times 24+722\times 5+722\times 16$

Q. Write the following in the expanded form:
(a) 35.63
(b) 5. 003