Which letter marks $\frac{2}{5}$ on this number line?
Answer (1)
Convert the fraction 5 2 to a decimal, resulting in 0.4.
Observe that the number line is divided into 5 equal segments between 0 and 1, with each segment representing 0.2.
Identify the location of each letter on the number line: A (0.2), B (0.4), C (0.6), D (0.8).
Conclude that letter B corresponds to the fraction 5 2 .
B
Explanation
Convert fraction to decimal We are given a number line and asked to find which letter corresponds to the fraction 5 2 . First, we need to convert the fraction to a decimal to easily locate it on the number line.
Perform the division To convert 5 2 to a decimal, we divide 2 by 5. The result is 0.4.
Analyze the number line Now, let's analyze the number line. We can see that the number line is divided into 5 equal segments between 0 and 1. This means each segment represents 5 1 or 0.2.
Identify the location of each letter Letter A is at 5 1 (0.2), letter B is at 5 2 (0.4), letter C is at 5 3 (0.6), and letter D is at 5 4 (0.8).
Find the matching letter Since 5 2 is equal to 0.4, we can see that letter B corresponds to the fraction 5 2 .
Final Answer Therefore, the letter that marks 5 2 on the number line is B.
Examples
Understanding fractions and number lines is crucial in everyday life. For instance, when measuring ingredients for a recipe, you might need to determine where 5 2 of a cup falls on a measuring cup. Similarly, if you're tracking your progress on a project, you might use a number line to visualize how close you are to completing 5 2 of the tasks. These skills help in precise calculations and estimations, making daily tasks more manageable.
