Question

Additive inverse of −2, additive identity of −5, additive inverse of 3, multiplicative identity of 19, and multiplicative inverse of 7, | 11-5|×|1-5|

Answer 1

Answer:

See Explanation

Step-by-step explanation:

a) Additive inverse of −2

• the additive inverse of a number a is the number that, when added to 'a', yields zero. This number is also known as the opposite (number), sign change, and negation.
• So the Additive inverse of -2 is 2. ∴ -2+2=0

b) Additive identity of −5

• Additive identity is the value when added to a number, results in the original number. When we add 0 to any real number, we get the same real number.
• -5 + 0 = -5. Therefore, 0 is the additive identity of any real number.

c) additive inverse of 3

• Two numbers are additive inverses if they add to give a sum of zero. 3 and -3 are additive inverses since 3 + (-3) = 0. -3 is the additive inverse of 3.

d). multiplicative identity of 19

• an identity element (such as 1 in the group of rational numbers without 0) that in a given mathematical system leaves unchanged any element by which it is multiplied
• Multiplicative identity if 19 is 1 only, since 19 x 1 = 19.

e) multiplicative inverse of 7

• Dividing by a number is equivalent to multiplying by the reciprocal of the number. Thus, 7 ÷7=7 × 1⁄7 =1. Here, 1⁄7 is called the multiplicative inverse of 7.

d)  | 11-5|×|1-5|

• | 11-5|×|1-5| ⇒ I6I×I-4I ⇒ 6×4 ⇒ 24