What is the additive identity of rational number

Mathematics

1 answer:

Burka [1]3 years ago

3 0

Answer:

zero(0)

Step-by-step explanation:

The additive identity of a set of number is a number such that the its sum with any of the numbers in the set would give a result that is equal to the number in that set.

In other words, say for example the set of numbers is rational, the additive identity of rational numbers is 0. This is because, given any rational number say x, adding zero to the number x gives the same number x. i.e

x + 0 = x

If x is say 2, then we have;

2 + 0 = 2

Since adding zero to rational numbers gives has no effect on the numbers, then zero (0) is the additive identity of rational numbers.

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Please help me answer this. I think that for the first one the answer is A, but I am not sure. There are two parts to the questi

Anika [276]

Vector $PQ=(7-5, 3-4)=(2, -1)$ . $4RS=4 \cdot (4-8, 1-6) = 4 \cdot (-4, -5) = (-16, -20)$ . So the sum is $(-14, -21)$ .

For the second, the magnitude is the square root of the sum of the squares of the components. This is equal to $\sqrt{(-14)^2+(-21)^2} = \sqrt{637}=7\sqrt{13}$ .