Use long division to show that the fraction and decimal in each pair are equal.

Mai walked \(\frac{1}{8}\) of a 30-mile walking trail. How many miles did Mai walk? Explain or show your reasoning.

Use long division to find each quotient. Write your answer as a decimal.

1. \(99\div 12\)

2. \(216 \div 5\)

3. \(1,\!988 \div 8\)

Here is a diagram representing a base-ten number. The large rectangle represents a unit that is 10 times the value of the square. The square represents a unit that is 10 times the value of the small rectangle.

Here is a diagram showing the number being divided into 5 equal groups.

1. If a large rectangle represents 1,000, what division problem did the second diagram show? What is its quotient?

2. If a large rectangle represents 100, what division problem did the second diagram show? What is its quotient?

3. If a large rectangle represents 10, what division problem did the second diagram show? What is its quotient?

Complete the calculations so that each shows the correct difference.

Fill in the blank subtraction problem  b. 1 minus blank blank blank blank equals 0 point 015. 

c. 1 minus blank blank blank blank equals 0 point 863.

Use the equation \(124 \boldcdot 15 = 1,\!860\) and what you know about fractions, decimals, and place value to explain how to place the decimal point when you compute \((1.24) \boldcdot (0.15)\).