1.567 a rational number

I suppose that we want to know if:

1.567 is a rational number.

Ok, we know that a rational number is a number that can be written as the quotient between two integer numbers, such as:

a/b

where a and b are integer numbers.

So let's try to write 1.567 in that form.

One thing that we can do, is to multiply it and divide it by the same number (this does not change the number, is equivalent to multiply by 1).

First, let's count the number of decimals after the decimal point, if we have N decimals, we need to multiply and divide by 10^N

in this case, we have N = 3.

Then we need to multiply and divide by 10^3.

10^3 = 10*10*10 = 1000

We need to multiply and divide by 1000.

We will get:

1.567 = 1.567*(1000/1000) = (1.567*1000)/(1000) = 1567/1000

That is the quotient between two integer numbers, then we can conclude that 1.567 is an integer number.

what is the question?

step-by-step explanation:

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.