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6-8 Accelerated 6 Unit 3 Lesson 19

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IM K-5 Math
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Unit 3, Lesson 19

Dividing Numbers that Result in a Decimal

Accelerated 6

Practice

Problem 1

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

\(\frac{3}{4}\) and 0.75

\(\frac{3}{50}\) and 0.06

\(\frac{7}{25}\) and 0.28

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Problem 2

Lesson 19 Resources

Student Materials

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

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Problem 3

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

\(99\div 12\)
\(216 \div 5\)
\(1,\!988 \div 8\)

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Problem 4

ForLesson 18: Using Long Division

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.

<p>A base-ten number diagram. One large rectangle, three squares and two small rectangles.</p>

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

Five groups of 4 squares, 6 small rectangles and 4 small squares.

If a large rectangle represents 1,000, what division problem did the second diagram show? What is its quotient?
If a large rectangle represents 100, what division problem did the second diagram show? What is its quotient?
If a large rectangle represents 10, what division problem did the second diagram show? What is its quotient?

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Problem 5

ForLesson 15: Adding and Subtracting Decimals with Many Non-Zero Digits

Complete the calculations so that each shows the correct difference.

Fill in the blank subtraction problem. 5 minus blank blank blank blank equals 4 point 3 2 9. — a.

Fill in the blank subtraction problem — b.

Fill in the blank subtraction problem. — c.

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Problem 6

ForLesson 16: Methods for Multiplying Decimals

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 \((1.24) \boldcdot (0.15)\).

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