Question 4 Fill in the blanks
(a) ____ × 13 = 13 × 18
(b) Whole numbers are closed under _______ and ________ operation.
(c) Division by ______ is not defined.
(d) _______ is the identity for multiplication.
(e) If ______ is added to a number, the sum will remain the same. Hence ______is called the __________ in the whole numbers.
How many whole numbers are there between 12 and 86
Find the product using Distributive property
(a) $168 \times 102$
(b) $625 \times 279 - 625 \times 79$ Question 7
Find the successor and predecessor of each of the following whole numbers:
Seema got 99 marks in Math, 69 marks in English, and 91 in Science. Another student Rita got 92 marks in Math, 33 in English and 84 in Science. What are their total marks?
Ramesh ordered 10 cartons of chocolates to distribute among the class. Each carton holds 20 boxes and each box has 12 chocolates. How many chocolates did Ramesh order altogether?
Mukesh lives form a hostel which charges Rs 55 for Dinner and 45 for Lunch. Find the money he has to pay for seven days. Question 11
Out of 180000 tablets of Vitamin A, 18734 are distributed among the students in a district. Find the number of the remaining vitamin
Question 12 Fill in the blanks
(a) $14 \times 38 = 14 \times 18 + 14 \times $ _____
(b) $786 \times 8 + 786 \times 2 =$ _____
(c) $1001 \times 2002 = 1001 \times ( 2000 + $_____ )
(d) predecessor of 1 lakh is _______
The smallest natural number is 1
The smallest whole number is 0. 2.
If a and b are any two whole numbers, then $a+b$, $a \times b$ are also whole numbers.
If a and b are any two whole numbers, then $a+b = b+a$ and $a \times b = b \times a$.
If a, b and c are any two whole numbers, then $(a+b)+c = a+(b+c)$ and $(a \times b)\times c = a \times (b \times c)$.
If a, b and c are any two whole numbers, then $a(b+c) = a \times b + a \times c$.
If a is any whole number, then $a + 0 = a = 0 + a$.
If a is any whole number, then $a \times 1 = a = 1 \times a$
Multiplication by zero
If a is any whole number, then $a \times 0 = 0 = 0 \times a$.
Division by zero
If a is any whole number, then a ÷ 0 is not defined
Distributive Property of Multiplication over Subtraction.
$10 \times 45 = 45 \times 10$
Commutative Property of Multiplication
(b) Addition and Multiplication.
(e) 0, 0,Identity element for Addition. 5.
73 exlusive of both of the starting and ending numbers 6.
(a) $168 \times 102 = 168 \times (100+2)= 168 \times 100 + 168 \times 2=16800 + 336=17136$
(b) $625 \times 279 - 625 \times 79 =625 \times (279-79)= 625 \times 200=125000$ 7.
i. Successor = 1000,predecessor=998
ii. Successor = 22000,predecessor=21998
iii. Successor = 4002,predecessor=4000
iv. Successor = 500013,predecessor=500011
v. Successor = 11112,predecessor=11110
8.Marks obtained by Seema :
Math = 99
English = 69
Science = 91
∴ Total marks obtained by Seema =99 + 69 + 91 = 259
Marks obtained by Rita :
Math = 92
English = 33
Science = 84
∴ Total marks obtained by Rita =92 + 33 + 84 = 209
9 2400 chocolates 10 Amount paid for lunch = 45
Amount paid for dinner = 55
Number of days = 7
Money paid by him in 7 days = $7 \times (55 +45) = 700$ 11161266 12
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