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 

Solution

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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.

Solution

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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. \(0.002 \div 2,\!000\)

Solution

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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

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(From Unit 3, Lesson 16.)

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

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(From Unit 3, Lesson 15.)

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

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(From Unit 3, Lesson 14.)

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?

Solution

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(From Unit 3, Lesson 8.)