Question

maths formula class 6​

Answer 1

Answer:

Hey sahibjotsahu!

• There are few important formulae!
• Associativity of Multiplication a × (b × c) = (a × b) × c
• Distributive of Multiplication over Addition a × (b + c) = a × b + a × c
• Distributive of Multiplication over Subtraction a × (b – c) = a × b – a × c
• Existence of Multiplicative Identity a + 0 = a = 0 + a

Answer 2

Answer:

Numbers starting from 0, 1, 2, 3, … and so on are known as whole numbers. A number that divides the other number without leaving any remainder is the factor of that number.

1. A multiple of a number is exactly divisible by the number.

2. Number ‘1’ is said to be the factor of every number and is the number that has exactly one factor.

3. Numbers which are divisible by 2 are known as even numbers while numbers which are not divisible by 2 are known as odd numbers.

4. Divisibility rules:

a) A number is divisible by 2 if the unit’s digit number is 0, 2, 4, 6 and 8.

b) A number is divisible by 3 if the sum of all its digits is divisible by 3.

c) A number is divisible by 4 if the digit in its tens and units place is divisible by 4.

d) A number is divisible by 5 if the unit’s digit of the number is 0 and 5.

e) A number is divisible by 6 if it holds the divisibility rule for 2 and 3 true.

f) A number is divisible by 8 if the number formed in its hundreds, digits and units place is divisible by 8.

g) A number is divisible by 9 if the sum of the digits of the number is divisible by 9.

h) A number is divisible by 10 if the unit’s place digit is 0.

i) A number is divisible by 11 if the difference of the sum of its digits in odd places and the sum of its digits in even places is either 0 or divisible by 11.

5. LCM (Least Common Multiple) of two numbers a and b is the smallest positive integer which is divisible by both a and b.

6. HCF (Highest Common Factor) of two numbers a and b is the largest positive integer that divides each of these given integers.

7. If a, b and c are the whole numbers, then

Property Implementation

Closure Property of Addition a + b

Closure Property of Multiplication a × b

Associativity of Addition (a + b) + c = a + (b + c)

Associativity of Multiplication a × (b × c) = (a × b) × c

Distributive of Multiplication over Addition a × (b + c) = a × b + a × c

Distributive of Multiplication over Subtraction a × (b – c) = a × b – a × c

Existence of Multiplicative Identity a + 0 = a = 0 + a

Existence of Multiplicative Identity a × 0 = 0 = 0 × a

Unit Multiplication a × 1 = a = 1 × a

Step-by-step explanation:

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