Question

) convert the following mathematical statement into mathematical equations.

(a) 2 is multiplied by the sum of X and Y.

(b) sum of 5 and X is 12

(c) when a number is divided by 2 we get 5

(d) 5 is subtracted from y

(e) product of x and y is subtracted from 17.

(ii) define additive identity and multiplicative identity with example.​

Answer 1

X+Y×2

5+X=12

X÷2=5

5-Y

17-XY

Additive identity of numbers, as the name suggests, is a property of numbers which is applied when carrying out addition operations.

a + 0 = a = 0 + a

What is Multiplicative Identity?

Multiplicative identity of numbers, as the name suggests, is a property of numbers which is applied when carrying out multiplication operations Multiplicative identity property says that whenever a number is multiplied by the number 1 (one) it will give that number as product. “1” is the multiplicative identity of a number. It is true if the number being multiplied is 1 itself. The multiplicative identity property is represented as:

a × 1 = a = 1 × a (a is any real number)

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Answer 2

Answer:

i.a). 2(x+y)

b). 5+x=12

c). x÷2=5

d). y-5

e). 17-xy

ii). Additive identity states that when the number is added to 0,the original number retains its identity. Eg:2+0=2

Multiplicative identity states that when the number is multiplied by 1,the result is the same number. Eg:5×1=5

Step-by-step explanation:

additive identity:

ii).a × 1 = a = 1 × a (a is any real number) Some examples: −1 + 0 = −1 (−1 here is the number on which the operation is carried out and “0” is additive identity. 0 + 259 = 259.

Multiplicative identity:

−1 × 1 = −1 (−1 here is the number on which the operation is carried out and “1” is a multiplicative identity)