Section B Section B Checkpoint

Problem 1

Priya ran 1.9 miles on Saturday, and 2.34 miles on Sunday. How many miles did she run altogether? Explain or show your reasoning.

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Solution

4.24 miles. Sample response: 1.9+2=3.91.9 + 2 = 3.9, 3.9+0.3=4.23.9 + 0.3 = 4.2, 4.2+0.04=4.244.2 + 0.04 = 4.24

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Sample Response

4.24 miles. Sample response: 1.9+2=3.91.9 + 2 = 3.9, 3.9+0.3=4.23.9 + 0.3 = 4.2, 4.2+0.04=4.244.2 + 0.04 = 4.24

Problem 2

Find the value of each expression. Explain or show your reasoning.

  1. 12.1+5.7712.1 + 5.77

  2. 10.151 - 0.15

  3. 38.1227.338.12 - 27.3
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Solution
  1. 17.87. Sample response: 12.1+5=17.112.1 + 5 = 17.1, 17.1+0.77=17.8717.1 + 0.77 = 17.87
  2. 0.85. Sample response: 0.15+0.05=0.20.15 + 0.05 = 0.2, 0.2+0.8=10.2 + 0.8 = 1, 0.05+0.8=0.850.05 + 0.8 = 0.85
  3. 10.82. Sample response:
    subtraction algorithm
Show Sample Response
Sample Response
  1. 17.87. Sample response: 12.1+5=17.112.1 + 5 = 17.1, 17.1+0.77=17.8717.1 + 0.77 = 17.87
  2. 0.85. Sample response: 0.15+0.05=0.20.15 + 0.05 = 0.2, 0.2+0.8=10.2 + 0.8 = 1, 0.05+0.8=0.850.05 + 0.8 = 0.85
  3. 10.82. Sample response:
    subtraction algorithm