Question

Which equations support the fact that rational numbers are closed under addition? Select each correct answer.  

Answer 1

The first and fourth equations justify this.

~ThePirc

Answer 2

Answer:

1/2 +0.5=1  and 3√16 + 3√16=6√16

Step-by-step explanation:

Rational numbers are numbers that can be written as fractions.  These include fractions, decimals, integers and whole numbers, or anything that can be simplified to one of these.

1/2 + 0.5 = 1 shows us a fraction added to a decimal that equals a whole number.  All three of these are rational numbers, so this shows that rational numbers are closed under addition.

3√16 + 3√16=6√16 contains a radical, which is only a rational number if it simplifies to one.  √16 = 4; this means we can rewrite this as

3(4) + 3(4) = 6(4)

This gives us

12 + 12 = 24

This is a true statement, and shows that rational numbers are closed under addition.