Question
Match the number set or type of number with the correct category
repeating decimals (0.454545...)
{1/2, 1/4, 1/8, 1/16, 1/32}
integers
non-repeating decimal (.44454647...)
whole numbers {0, 1, 2, 3, 4, ...}
Rational ratio greater than or equal to 0 with a denominator =1
rational decimals
rational ratios with a denominator not equal to 1
irrational decimals
rational whole numbers and their opposites
repeating decimals (0.454545...)
{1/2, 1/4, 1/8, 1/16, 1/32}
integers
non-repeating decimal (.44454647...)
whole numbers {0, 1, 2, 3, 4, ...}
Rational ratio greater than or equal to 0 with a denominator =1
rational decimals
rational ratios with a denominator not equal to 1
irrational decimals
rational whole numbers and their opposites
Answers
GPT-4o mini
Here is the matching of the number set/type with the correct category:
1. **Repeating decimals (0.454545...)** → **Rational ratios with a denominator not equal to 1**
2. **{1/2, 1/4, 1/8, 1/16, 1/32}** → **Rational ratios with a denominator not equal to 1**
3. **Integers** → **Rational whole numbers and their opposites**
4. **Non-repeating decimal (.44454647...)** → **Irrational decimals**
5. **Whole numbers {0, 1, 2, 3, 4, ...}** → **Rational ratio greater than or equal to 0 with a denominator = 1**
6. **Rational decimals** → **Rational ratios with a denominator not equal to 1**
Please note the correction on the non-repeating decimal, as it should be classified as a rational number if it is in decimal form but terminates. If it continues indefinitely without repeating, then it belongs to the category of irrational numbers. If you were referring to a number that does not exhibit repeating behavior, that would typically not be the case with .44454647... as described as a decimal. Make sure the description aligns with the type of number you are matching, as this can affect the categories.
1. **Repeating decimals (0.454545...)** → **Rational ratios with a denominator not equal to 1**
2. **{1/2, 1/4, 1/8, 1/16, 1/32}** → **Rational ratios with a denominator not equal to 1**
3. **Integers** → **Rational whole numbers and their opposites**
4. **Non-repeating decimal (.44454647...)** → **Irrational decimals**
5. **Whole numbers {0, 1, 2, 3, 4, ...}** → **Rational ratio greater than or equal to 0 with a denominator = 1**
6. **Rational decimals** → **Rational ratios with a denominator not equal to 1**
Please note the correction on the non-repeating decimal, as it should be classified as a rational number if it is in decimal form but terminates. If it continues indefinitely without repeating, then it belongs to the category of irrational numbers. If you were referring to a number that does not exhibit repeating behavior, that would typically not be the case with .44454647... as described as a decimal. Make sure the description aligns with the type of number you are matching, as this can affect the categories.