Please match each number with its best example. Some values will need to be changed into a decimal format.

A. Recurring Decimal
B. Mixed Number
C. Non-repeating Decimal
D. Finite Decimal
E. Decimal

Examples:
½

π
0.375


I think 5½ is B and ⅓ is A, but I am confused about the rest! Could someone please help?

π is a non-repeating decimal

.375 is a finite decimal

Your other choices are correct

So ½ would just be a decimal?

1/2

= .5
is a decimal, but also more specifically, a finite decimal

Okay, thank you!!

Of course! Let's go through each example and match them with the correct category:

1. ½: This is a fraction, specifically one-half. Fractions can be written as decimals by dividing the numerator (top number) by the denominator (bottom number). In this case, 1 divided by 2 is 0.5, which is a non-repeating decimal. So, ½ can be matched with the category C (Non-repeating Decimal).

2. 5½: This is a mixed number, as it contains a whole number (5) and a fraction (½). Mixed numbers can also be written as improper fractions or decimals. For example, 5½ can be written as the improper fraction 11/2, which is equivalent to the decimal 5.5. Therefore, 5½ can be matched with the category B (Mixed Number).

3. π: This is the mathematical constant Pi, which represents the ratio of a circle's circumference to its diameter. Pi is an irrational number and cannot be expressed as a fraction or a finite decimal. It is a non-repeating decimal and does not terminate. Therefore, π can be matched with the category C (Non-repeating Decimal).

4. 0.375: This is a decimal that terminates after three decimal places. It does not repeat and can be written as the fraction 375/1000. Therefore, 0.375 can be matched with the category D (Finite Decimal).

5. ⅓: This is another fraction, representing one-third. To convert it to a decimal, you would divide 1 by 3. The result is 0.333... with the 3 repeating indefinitely. This is a recurring decimal since the digit 3 repeats. Therefore, ⅓ can be matched with the category A (Recurring Decimal).

So, to recap the matches for each example:

A. ½ -> C (Non-repeating Decimal)
B. 5½ -> B (Mixed Number)
C. π -> C (Non-repeating Decimal)
D. 0.375 -> D (Finite Decimal)
E. ⅓ -> A (Recurring Decimal)