Are the rational numbers closed under multiplication?
1 answer:
Answer:
Yes, The rational numbers are closed under multiplication.
Step-by-step explanation:
A rational number is a number which can be expressed in the form of a fraction , where x and y are integers and y ≠ 0.
Now, closure property of multiplication states that if two rational numbers are multiplied then the product is also a rational number. Thus, if r and t are rational numbers, then
r×t = s, where s is the product of r and t
s is also a rational number.
Hence, the rational numbers are closed under multiplication.
This can be better explained with the help of an example ,
It is clear that is a rational number.
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we have been given that in ΔFGH, the measure of ∠H=90°, GF = 53, HG = 28, and FH = 45. We are asked to find the ratio that represents the sine of ∠G.
First of all, we will draw a right triangle using our given information.
We know that sine relates opposite side of right triangle with hypotenuse.
We can see from the attachment that opposite side to angle G is FH and hypotenuse is GF.
Therefore, the ratio represents the sine of ∠G.
