Question

2. Write the missing digits:
a. 37__1+5__57=__97__
b. 3 8 6 7+5 6__ 8= __ __ 5 __
c.__ __ 7__ +2 4 __ 7= 8 3 3 3​

Answer 1

Answer:

Integers are closed under addition, subtraction and multiplication.

– Addition and multiplication are commutative for integers, i.e.,

a + b = b + a and a × b = b × a for any two integers a and b.

– Addition and multiplication are associative for integers,

i.e., (a + b) + c = a + (b + c) and

(a × b) × c = a × (b × c) for any three integers a, b and c.

– Zero (0) is an additive identity for integers, i.e., a + 0 = 0 + a = a

for any integer a.

– 1 is multiplicative identity for integers, i.e., a × 1 = 1 × a = a for

any integer a.

– Integers show distributive property of multiplication over

addition, i.e., a × (b + c) = a × b + a × c for any three integers a,

b and c.

• Product of a positive integer and a negative integer is a negative

integer, i.e, a × (–b) = – ab, where a and b are positive integers.

• Product of two negative integers is a positive integer, i.e.,

(–a) × (–b) = ab, where a and b are positive integers.

• Product of even number of negative integers is positive, where as

the product of odd number of negative integers is negative, i.e.,

Step-by-step explanation: