Final answer:
To change the fraction 1 1/2 into a decimal and round to the nearest thousandth, we convert the mixed number into an improper fraction and then divide the numerator by the denominator. The result, rounded to the nearest thousandth, is 1.500.
Step-by-step explanation:
To change the fraction 1 1/2 into a decimal and round to the nearest thousandth, we first convert the mixed number 1 1/2 into an improper fraction. To do this, we multiply the whole number by the denominator and add the numerator. So, 1 1/2 is equal to (2*1 + 1)/2 = 3/2.
To convert this fraction into a decimal, we divide the numerator by the denominator. In this case, 3 divided by 2 is 1.5. Rounding this decimal to the nearest thousandth, we look at the digit in the thousandths place, which is 5. Since 5 is greater than or equal to 5, we round up the previous digit. Therefore, 1 1/2 as a decimal rounded to the nearest thousandth is 1.500.