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SVEN [57.7K]
3 years ago
10

Are the irrational numbers closed under addition?

Mathematics
1 answer:
Arte-miy333 [17]3 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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G.O is going on a hike in the mountains on a hot summer day ha has 4/5 gallon of water that he split into 4 bottles what fractio
kirill [66]

Answer:

\frac{1}{5} fraction of gallon is in each bottle.

Step-by-step explanation:

As per the given condition: G.O is going on a hike in the mountains on a hot summer day he has 4/5 gallon of water that he split into 4 bottles.

⇒ in 4 bottle  he has \frac{4}{5} gallon of water.

Unit rates defined as when are expressed as a quantity of 1, such as 3 feet per second or 4 miles per hour, then they are called unit rates.

By unit rate definition,

In 1 bottle he has = \frac{4}{5} \times \frac{1}{4} = \frac{1}{5} gallon of water.

therefore, the gallon in each bottle in fraction is, \frac{1}{5}

7 0
3 years ago
Find the area and the circumference of a circle with radius 7 cm.
aniked [119]

Answer:

C=14pi cm

A=49pi cm^2

Step-by-step explanation:

1) Circumference of a circle is 2piR and R=7cm

C=2pi(7)

C=14pi cm

2) Area of a circle is piR^2 and R=7cm

A=pi (7)^2

A=49pi cm^2

3 0
3 years ago
If the diameter of a microscope's field is 0.12mm, how wide is an object that fills one-quarter of the field? (Explain how you'v
vlada-n [284]

Answer:.3mm

Step-by-step explanation:

5 0
3 years ago
PLEASE HELP ME!!!!!!!!!!!!!!!! OUT OF TIME AND MY MIND HERE!!!!
Elenna [48]
Is this a test because you said your out of time
6 0
3 years ago
Answer it right and i'll try to give you brainliest.
mario62 [17]

Answer:

384 cm²

Step-by-step explanation:

Since it is a square pyramid, the total surface area of the pyramid is the area of its square base plus the area of its 4 triangular faces.

\boxed{area \: of \: triangle =  \frac{1}{2} \times base \times height }

Area of a triangular face

= ½ ×12 ×10

= 60 cm²

\boxed{area \: of \: square = side \times side}

Base area of pyramid

= 12 ×12

= 144 cm²

∴ Surface area of pyramid

= 4(60) +144

= 240 +144

= 384 cm²

7 0
3 years ago
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