Lesson 1
Size of Divisor and Size of Quotient
Let’s explore quotients of different sizes.
Problem 1
Order from smallest to largest:
 Number of pennies in a stack that is 1 ft high
 Number of books in a stack that is 1 ft high
 Number of dollar bills in a stack that is 1 ft high
 Number of slices of bread in a stack that is 1 ft high
Problem 2
Use each of the numbers 4, 40, and 4000 once to complete the sentences.

The value of \(\underline{\hspace{1in}} \div 40.01\) is close to 1.

The value of \(\underline{\hspace{1in}} \div 40.01\) is much less than 1.

The value of \( \underline{\hspace{1in}}\div 40.01\) is much greater than 1.
Problem 3
Without computing, decide whether the value of each expression is much smaller than 1, close to 1, or much greater than 1.
 \(100 \div \frac{1}{1000}\)
 \(50\frac13 \div 50\frac14\)
 \(4.7 \div 5.2\)
 \(2 \div 7335\)
 \(2,\!000,\!001 \div 9\)
 \(0.002 \div 2,\!000\)
Problem 4
A rocking horse has a weight limit of 60 pounds.
 What percentage of the weight limit is 33 pounds?
 What percentage of the weight limit is 114 pounds?

What weight is 95% of the limit?
Problem 5
Compare using \(>\), \(=\), or \(<\).

0.7 ______ 0.70

\(0.03 + \frac{6}{10}\) ______ \(0.30 + \frac{6}{100}\)

0.9 ______ 0.12
Problem 6
Diego has 90 songs on his playlist. How many songs are there for each genre?
 40% rock
 10% country
 30% hiphop
 The rest is electronica
Problem 7
A garden hose emits 9 quarts of water in 6 seconds. At this rate:
 How long will it take the hose to emit 12 quarts?
 How much water does the hose emit in 10 seconds?