Which letter marks $\frac{2}{5}$ on this number line?
Answer (1)
Convert the fraction 5 2 to a decimal, which equals 0.4.
Locate the position 0.4 on the number line.
Identify the letter at the 0.4 mark, which is 'C'.
The letter that marks 5 2 on the number line is C .
Explanation
Understanding the Problem We are given a number line and asked to identify which letter corresponds to the fraction 5 2 . To do this, we need to determine the decimal equivalent of 5 2 and then locate that value on the number line.
Converting Fraction to Decimal First, let's convert the fraction 5 2 to a decimal.
Performing the Division To convert 5 2 to a decimal, we divide 2 by 5. The result of this division is 0.4.
Locating on the Number Line Now, we need to look at the number line and identify which letter corresponds to the value 0.4. By visually inspecting the number line, we can see that the letter 'C' is located at the 0.4 mark.
Final Answer Therefore, the letter that marks 5 2 on the number line is C.
Examples
Imagine you're baking a cake and the recipe calls for 5 2 of a cup of sugar. If your measuring cup only has decimal markings, you need to know that 5 2 is the same as 0.4. This conversion helps you measure the correct amount of sugar, ensuring your cake turns out perfectly. Understanding fractions and their decimal equivalents is useful in many real-life situations, from cooking to measuring ingredients for a science experiment.
