Question

Which number produces a rational number when multiplied by 0.5?

A.) 2.020020002...
B.) 2.22
C.)
D.) √7

Answer 1

To find a number that produces a rational number when multiplied by 0.5, we can evaluate the given options and determine which ones are rational.

Step-by-step explanation:

In order to find a number that produces a rational number when multiplied by 0.5, we need to consider the numbers given in the options:

1. A.) 2.020020002...
2. B.) 2.2
3. C.) D.) √7 (square root of 7)

A rational number is a number that can be expressed as a fraction of two integers. Therefore, any whole number or decimal that terminates or has a repeating pattern is considered rational.

Option B, 2.2, is a terminating decimal and can be expressed as the fraction 11/5. Therefore, multiplying 2.2 by 0.5 will result in a rational number.

Therefore, the answer is option B, 2.2.