Section D Section D Checkpoint

Problem 1

Find the value of 1÷0.051 \div 0.05. Use the diagram if it is helpful.

Diagram, square. Length and width, 1. Partitioned into 10 rows of 10 of the same size squares. No squares shaded.

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Solution

20. Sample response: I filled in the unit square with groups of 0.05 and there are 20 of them.

Hundredths grid

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Sample Response

20. Sample response: I filled in the unit square with groups of 0.05 and there are 20 of them.

Hundredths grid

Problem 2

  1. Explain how the shaded region of the diagram shows 0.72÷60.72 \div 6.
  2. Find the value of 0.72÷60.72\div6.

Diagrams. Square. Partitioned into 10 rows of 10 of the same size squares. 72 squares shaded. For each 12 squares, shading alternates, blue, orange.

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Solution
  1. Sample response: There is a total of 72 hundredths of the square shaded in the diagram and it is divided into 6 equal groups.
  2. 0.12. Sample response: There are 12 hundredths in each of the groups.
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Sample Response
  1. Sample response: There is a total of 72 hundredths of the square shaded in the diagram and it is divided into 6 equal groups.
  2. 0.12. Sample response: There are 12 hundredths in each of the groups.

Problem 3

Which expression has the same value as 84÷0.184 \div 0.1?

A
 840÷0.01840 \div 0.01
B
 840÷10840 \div 10
C
 8400÷18400 \div 1
D
 8.4÷0.018.4 \div 0.01
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Solution
 8.4÷0.018.4 \div 0.01
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Sample Response
 8.4÷0.018.4 \div 0.01