Compare each pair of numbers using the symbol = (equals), < (less than), or > (greater than).
$\frac{6}{10} \bigcirc 0.5$
Answer (1)
Convert the fraction 10 6 to a decimal, which is 0.6 .
Compare the decimal 0.6 with 0.5 .
Since 0.6 is greater than 0.5 , use the > symbol.
The final answer is 0.5"> 10 6 > 0.5 , indicating that 10 6 is greater than 0.5 .
Explanation
Understanding the Problem We are asked to compare 10 6 and 0.5 using the symbols =, <, or >.
Converting Fraction to Decimal First, let's convert the fraction 10 6 to a decimal. To do this, we divide 6 by 10, which gives us 0.6.
Comparing the Decimals Now we compare the decimal 0.6 with 0.5. Since 0.6 is greater than 0.5, we use the > symbol.
Final Answer Therefore, the relationship between 10 6 and 0.5 is: 0.5"> 10 6 > 0.5 .
Examples
Understanding how to compare fractions and decimals is useful in everyday situations, such as when comparing prices while shopping. For example, if one item is priced at 5 3 of a dollar and another is priced at 0.65 dollars, converting the fraction to a decimal allows you to quickly determine which item is cheaper. In this case, 5 3 is equal to 0.6 , which is less than 0.65 , so the first item is the better deal. This skill helps in making informed decisions and managing finances effectively.
