is -1.59 written as a rational number in a/b form - is it -1 59/100??
Is 1.59 irrational?
is 1.59
a irr
ational or rational number
Rational
To determine if -1.59 can be written as a rational number in a/b form, we need to determine whether it can be expressed as a fraction, where both the numerator and denominator are integers.
To do this, we take the decimal representation -1.59 and convert it to a fraction by writing it as the division of two integers: -1.59 = x/y.
To find the value of x and y, we need to eliminate the decimal point. One way to do this is by multiplying both sides of the equation by a power of 10 that moves the decimal point to the right, resulting in an integer denominator. In this case, we'll multiply by 100 to eliminate the decimal:
-1.59 × 100 = x/y × 100
-159 = x/y × 100
Now, we observe that -159 is divisible by 100, so we can simplify the equation further:
-159 = x/y × 100
-159 = 100x/y
Now, we can compare the equation with the form a/b:
-159 = 100x/y
Comparing the coefficients on both sides, we can determine that x = -159 and y = 100.
Therefore, -1.59 can be written as a rational number in the form a/b as -159/100.
So, your initial guess of -1 59/100 is correct!
no, you have shown a mixed number. Ditch the space to get
-159/100