Are the irrational numbers closed under addition?

Mathematics

1 answer:

Arte-miy333 [17]4 years ago

4 0

Answer:

Irrational numbers are not closed under addition.

Step-by-step explanation:

Irrational numbers are the numbers that cannot be expressed in the form of a fraction $\frac{x}{y}$ . In other words we can say that irrational number,s decimal expantion does not cease to end.

The closure property of addition in irrational numbers say that sum of two irrational number is always a rational number, But this is not true. It is not necessary that the sum is always irrational some time it may be rational.

This can be understood with the help of an example:

let (2+√2) and (-√2) be two irrational number. Their sum is (2+√2)+(-√2) = 2, which is clearly a rational number.

Hence, irrational numbers are not closed under addition.

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lisov135 [29]

Answer:

Step-by-step explanation:

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3 years ago

Kris Byrant hit b baseballs yesterday. Today he hit 135 baseballs. Using b write an expression for the sum of the number of base

sleet_krkn [62]

Using "b", the expression for the sum of the number of baseballs Kris Byrant hit in two days is (135 + b).

As per data provided in the question statement, Kris Byrant hit "b" number of baseballs yesterday and he hit 135 baseballs today.

We have to find out the expression to express the sum of the number of baseballs Kris Byrant hit in two days using the variable "b".

As the question statement itself directs very clearly that We have to find out the expression to denote the sum of the number of baseballs Kris Byrant hit in two days using the variable "b", we will simply add the individual numbers of baseballs he hit on each day, i.e.,

(b + 135).

And then, we can use this expression to calculate the real number of baseball Kris Byrant hit in two days for (b = 120, say), i.e.,

If Kris Byrant hit 120 baseballs yesterday and he hit 135 baseballs today, he will have hit a total of (120 + 135) = 255 baseballs in two days.