(5) What is the value of ? Show your work.

To solve , you can rewrite it as a fraction:

Next, multiply both the numerator and the denominator by 10 to eliminate the decimals:

To find the decimal value, simply divide 5 by 8:

So, the value of is .

Did you know that back in the day, the concept of division was often represented by splitting resources rather than using numbers? Ancient Greeks would share their harvests in ratios, laying the groundwork for our understanding of fractions and division today!

Now, in real life, understanding division is super handy! For instance, if you’re sharing 0.5 liters of juice among friends, knowing that each person gets 0.625 liters can help you calculate how much each person gets when the total amount changes!