Match the number set or type of number with the correct category.(5 points)

Question

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
Integers
{1/2, 1/4, 1/8, 1/16, 1/32}
Whole numbers {0, 1, 2, 3, 4, ....}
Non-Repeating decimal (.44454647....)
Repeating decimals (0.454545...)

rational whole numbers and their opposites
rational ratio >_ 0 with a denominator = 1
rational decimals
rational ratios with a denominator =/ 1
irrational decimals

Answer 1

Here’s the correct matching of number sets or types with their corresponding categories:

1. Integers: Rational whole numbers and their opposites
   (This includes negative whole numbers, zero, and positive whole numbers.)

2. {1/2, 1/4, 1/8, 1/16, 1/32}: Rational ratios with a denominator ≠ 1
   (These are all fractions where the denominator is not 1.)

3. Whole numbers {0, 1, 2, 3, 4, ....}: Rational whole numbers and their opposites
   (Whole numbers start at 0 and count up, and their opposites are negative integers.)

4. Non-Repeating decimal (.44454647....): Irrational decimals
   (However, this is a flawed designation since non-repeating decimals are usually considered irrational; the provided value seems to be incorrectly represented.)

5. Repeating decimals (0.454545...): Rational decimals
   (Repeating decimals can be expressed as fractions, thus they are rational.)

So, the final matches are:

• Integers: Rational whole numbers and their opposites
• {1/2, 1/4, 1/8, 1/16, 1/32}: Rational ratios with a denominator ≠ 1
• Whole numbers {0, 1, 2, 3, 4, ....}: Rational whole numbers and their opposites
• Non-Repeating decimal (.44454647....): Irrational decimals (with note regarding context)
• Repeating decimals (0.454545...): Rational decimals