Lesson 1

Size of Divisor and Size of Quotient

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.

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

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

3. 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.

1. $$100 \div \frac{1}{1000}$$
2. $$50\frac13 \div 50\frac14$$
3. $$4.7 \div 5.2$$
4. $$2 \div 7335$$
5. $$2,\!000,\!001 \div 9$$
6. $$0.002 \div 2,\!000$$

Problem 4

A rocking horse has a weight limit of 60 pounds.

1. What percentage of the weight limit is 33 pounds?
2. What percentage of the weight limit is 114 pounds?
3. What weight is 95% of the limit?

Solution

(From Unit 2, Lesson 24.)

Problem 5

Compare using $$>$$, $$=$$, or $$<$$.

1. 0.7 ______ 0.70

2. $$0.03 + \frac{6}{10}$$ ______ $$0.30 + \frac{6}{100}$$

3. 0.9 ______ 0.12

Solution

(From Unit 2, Lesson 23.)

Problem 6

Diego has 90 songs on his playlist. How many songs are there for each genre?

1. 40% rock
2. 10% country
3. 30% hip-hop
4. The rest is electronica

Solution

(From Unit 2, Lesson 23.)

Problem 7

A garden hose emits 9 quarts of water in 6 seconds. At this rate:

1. How long will it take the hose to emit 12 quarts?
2. How much water does the hose emit in 10 seconds?