Question

Using long division, express the rational numbers and16 12 decimal form and determine which rational number is greater.25.

Answer 1

To express the rational numbers 16/12 in decimal form, use long division. The decimal form is 1.33. The rational number 16/12 is less than 25.

Step-by-step explanation:

To express the rational numbers 16/12 in decimal form, we can use long division. Here are the steps:

1. First, divide 16 by 12. The quotient is 1 and the remainder is 4.
2. Next, bring down the next digit (0) to the right of the remainder. The new dividend is 40.
3. Divide 40 by 12. The quotient is 3 and the remainder is 4.
4. Continue the process until you reach the desired level of precision or until the remainder becomes 0.

The decimal form of 16/12 is 1.33 (rounded to two decimal places).

Now, to determine which rational number is greater, 1.33 or 25, we can compare their decimal forms. Since 1.33 is less than 25, the rational number 16/12 is less than 25.