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
5½
π
0.375
⅓
I think 5½ is B and ⅓ is A, but I am confused about the rest! Could someone please help?
Sure, I can help you with that!
To match each number with its best example, let's analyze the options:
1/2: This is a fraction, specifically a half. In decimal format, it would be 0.5. So, this is an example of a decimal. Therefore, it is E.
5½: This number is a mixed number since it contains both a whole number (5) and a fraction (1/2). It is an example of a mixed number. So, it is B.
π: This is the symbol for pi, which is an irrational number that cannot be expressed as a simple fraction or a finite decimal. Therefore, it does not match any of the given options.
0.375: This decimal terminates after three digits, which means it has a finite number of decimal places. So, it is an example of a finite decimal. Therefore, it is D.
1/3: This fraction cannot be expressed as a finite decimal, as it repeats the digit 3 indefinitely. So, it is an example of a recurring decimal. Therefore, it is A.
To summarize:
A: 1/3
B: 5½
C: Not provided in the given examples
D: 0.375
E: 1/2 (or 0.5)
Therefore, the remaining example, π, does not match any of the given options.
Sure! I'd be happy to help you match the remaining examples.
Let's go through each example one by one:
1. ½: This is a fraction where the numerator (1) is less than the denominator (2), so it is a proper fraction. To convert it into a decimal, you can divide 1 by 2, which equals 0.5. Since the division does not result in a whole number and the decimal does not terminate or repeat, we can classify it as a Non-repeating Decimal (C).
2. 5½: This is a mixed number because it consists of both a whole number (5) and a fraction (½).
3. π: This number is a mathematical constant known as pi. It represents the ratio of the circumference of a circle to its diameter and is an irrational number. It cannot be expressed as a fraction or a terminating/repeating decimal, so it is an example of Decimal (E).
4. 0.375: This is already written in decimal format. It does not terminate or repeat, so it is a Finite Decimal (D).
5. ⅓: This is a fraction where the numerator (1) is less than the denominator (3), so it is a proper fraction. To convert it into a decimal, you can divide 1 by 3, which equals approximately 0.3333 (rounded to 4 decimal places). Since the division results in a repeating decimal, we can classify it as a Recurring Decimal (A).
So, to summarize:
A. Recurring Decimal: ⅓
B. Mixed Number: 5½
C. Non-repeating Decimal: ½
D. Finite Decimal: 0.375
E. Decimal: π
I hope this clarifies the remaining examples for you!