Which of the following is the multiplicative identity for an integer a
a. a
b. 1
c. 0
d. -1

Solution:

To find the multiplicative identity for an integer “a” let us first recall what is multiplicative identity. It states that if a number is multiplied to 1 the resultant will be the number itself. “1” is the multiplicative identity of a number. It is represented as a × 1 = a = 1 × a.

Going by the same logic the multiplicative identity for an integer a from the listed option is 1 (option b).

✦ Try This: What will be the additive and multiplicative identity for an integer 15.

Using the rules of multiplicative identity a × 1 = a = 1 × a and additive identity p + 0 = p =  0 + p we can determine the additive and multiplicative identity for an integer 15

☛ Also Check: NCERT Solutions for Class 7 Maths Chapter 1

NCERT Exemplar Class 7 Maths Chapter 1 Exercise Problem 15

Which of the following is the multiplicative identity for an integer a: a, 1, 0, -1

Summary:

According to the rule of multiplicative identity a × 1 = a = 1 × a the multiplicative identity for an integer a is 1

☛ Related Questions:

• [(– 8) × ( – 3)] × (– 4) is not equal to:(– 8) × [(– 3) × (– 4)], [(– 8) × (– 4)] × (– 3), [(– 3) × . . . .
• (-25) × [6 + 4] is not same as: (-25) × 10, (-25) × 6 + (-25) × 4, (-25) × 6 × 4, -250
• -35 × 107 is not same as: -35 × (100 + 7), (-35) × 7 + (-35) × 100, -35 × 7 + 100, (-30 -5) × 107