Introduction:
The decimal notation 0.25 represents a quarter, or (1 \over 4) of a whole. This fraction is commonly encountered in various mathematical and real-world applications. Understanding its equivalence and manipulation is essential for numerical operations and problem-solving.
0.25 is equivalent to (1 \over 4), which can be expressed as a fraction, decimal, or percentage:
Addition and Subtraction:
In addition and subtraction, 0.25 can be treated as a decimal. For example:
Multiplication and Division:
When multiplying or dividing by 0.25, it is convenient to use its equivalent fraction, (1 \over 4). For example:
0.25 has numerous applications in real-world situations. Some examples include:
Table 1: Equivalents of 0.25
Representation | Value |
---|---|
Fraction | (1 \over 4) |
Decimal | 0.25 |
Percentage | 25% |
Table 2: Operations with 0.25
Operation | Expression | Result |
---|---|---|
Addition | 0.25 + 0.50 | 0.75 |
Subtraction | 0.75 - 0.25 | 0.50 |
Multiplication | 0.25 x 4 | 1 |
Division | 1 ÷ 0.25 | 4 |
Table 3: Applications of 0.25
Application | Description |
---|---|
Time | 15 minutes (a quarter of an hour) |
Money | Quarter dollar (0.25 dollars) |
Measurement | 25 centimeters (a quarter of a meter) |
Probability | 25% chance of occurrence |
Story 1:
A bakery sells loaves of bread for $1.00 each. If a customer wants to purchase 0.25 of a loaf, how much will they pay?
Lesson: Understanding the equivalence of 0.25 and its applications in real-world situations.
Story 2:
A school is hosting a raffle with 100 tickets available. The probability of winning the grand prize is 0.25. If 50 tickets are sold, what is the likelihood that someone will win?
Lesson: Relating 0.25 to probability and calculating the likelihood of an event occurring.
Story 3:
A construction worker is measuring a wooden plank that is 1.5 meters long. He needs to cut the plank into quarters. What is the length of each quarter?
Lesson: Using 0.25 to determine equal parts of a whole.
Q1: What is 0.25 as a fraction?
A1: (1 \over 4)
Q2: How do I add 0.25 to 0.50?
A2: 0.25 + 0.50 = 0.75
Q3: What is the probability that a coin will land on heads if it is flipped once?
A3: 0.25 (or 25%) assuming the coin is fair and unbiased
Q4: If I have 0.25 of a gallon of milk left, how many cups is that equivalent to?
A4: 2 cups (since 1 gallon = 4 cups)
Q5: How do I divide 1 by 0.25?
A5: 1 ÷ 0.25 = 4 (or (1 \over 1) ÷ (1 \over 4) = 4)
Q6: Is 0.25 equivalent to half?
A6: No, 0.25 is equivalent to a quarter, while half is represented by 0.50.
Q7: What is the percentage equivalent of 0.25?
A7: 25%
Q8: Can 0.25 be simplified further?
A8: No, 0.25 is already in its simplest form.
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