**1. Which of the following models represents a fraction less than the fraction shown below?**

**2. Travis has a stick that is 5/16 of a meter long, and Steven has a stick that is 7/8 of a meter long. If they lay the sticks end to end how long would they be?**

- 12/16 meter
- 1 3/16
- 1 3/8
- 1 1/8

**3. Which of the following number sentences is represented by the model shown below?**

- 7×7=49
- 35-7=28
- 7+5=12
- 35÷7=5

##### 4. Which of the following number sentences belongs in the fact family shown below?

7×6=42

6×7=42

42÷7=6

- 7+6=13
- 42÷6=7
- 42+7=49
- 42-6=36

##### 5. Billy is going on vacation. He will travel a total of 1486 miles while he is gone. Location A is 572 miles away from home and then Location B is 437 miles from location B. How long is the trip from Location B back to home?

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## Answers

1. **B:** The given model represents the fraction, 2/9, which is approximately 0.22. The model for Choice B represents the fraction, 1/8, which equals 0.125. This fraction is less than the given fraction. The fractions can also be compared by finding a least common denominator.

2.** B: **If they lay the sticks end to end then you would just add the lengths together. First convert 7/8 to14/16 then add that to 5/16 to get 1 3/16.

3. **D:** The model shows 35 counters, divided into 7 groups, with 5 counters in each group. Therefore, the model represents the number sentence, 35÷7=5.

4. **B: **The missing number sentence in the fact family is the other division number sentence, which reads:42÷6=7.

5.** 477:** If he travels 572 miles and then 437 miles then he only has 477 miles left to go. 1486-572-437=477.