Write 0.2 in the form a/b using integers to shoe that it is a rational number
0.2 = 2/10 = 1/5
It's a ratio of two integers, so 0.2 is rational.
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To express 0.2 as a fraction in the form a/b, we can write it as 2/10. Since both 2 and 10 are integers, we can see that 0.2 is a rational number.
To show that the decimal 0.2 is a rational number in the form of a fraction, we can convert it into fraction notation.
Step 1: Let x = 0.2
Step 2: Multiply both sides of the equation by 10 to remove the decimal point: 10x = 2
Step 3: We can see that 10x is a whole number while x is a fraction. This implies that x must be a rational number.
Step 4: Now, let's express 2 as a fraction by putting it over a denominator of 10: 2/10.
Step 5: Simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2.
(2 ÷ 2) / (10 ÷ 2) = 1/5
So, we have shown that 0.2 is equal to the fraction 1/5, which demonstrates that it is a rational number.