Question

Put the rational numbers in order on the timeline. Drag and drop them into their correct box.(4 points)
Drop target 1
Drop target 2
Drop target 3
Drop target 4
Answers:
-4.5
2.25
-1/2
-2 1/2

Answer 1

Select whether each statement is TRUE or FALSE.

Calculators are not allowed in Unit 2.

(4 points)
True False
62 = 12



82 = 8×8


49−−√ = 7
because 7×7=49


12−−√= 6
because 6×2 =12


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Answer 2

Use the rules of adding rational numbers to solve. Calculators are not allowed.

−212+623
(1 point)
Responses

413
4 and 1 third

−416
negative 4 and 1 sixth

916
9 and 1 sixth

416
4 and 1 sixth
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Answer 3

To order the rational numbers on a timeline, we first need to convert them into a consistent format, typically decimal form or improper fractions. Here are the numbers you've provided:

1. **-4.5** (which is -4.5)
2. **2.25** (which is 2.25)
3. **-1/2** (which is -0.5)
4. **-2 1/2** (which as an improper fraction is -5/2 or decimal form is -2.5)

Now, let's convert the fractions for better comparison:

- **-4.5**
- **-2.5** (from -2 1/2)
- **-0.5** (from -1/2)
- **2.25**

Next, we will order them from least to greatest:

1. **-4.5**
2. **-2.5**
3. **-0.5**
4. **2.25**

Now we can drop them into their correct boxes:

**Drop target 1:** -4.5
**Drop target 2:** -2.5
**Drop target 3:** -0.5
**Drop target 4:** 2.25

Answer 4

Let's evaluate each statement one by one to determine if they are TRUE or FALSE.

1. **62 = 12**
- **FALSE**
- \( 6^2 = 36 \), not 12.

2. **82 = 8×8**
- **TRUE**
- \( 8^2 = 64 \), and \( 8 \times 8 = 64 \).

3. **49−−√ = 7 because 7×7=49**
- **TRUE**
- \( \sqrt{49} = 7 \) because \( 7 \times 7 = 49 \).

4. **12−−√= 6 because 6×2 =12**
- **FALSE**
- \( \sqrt{12} \) is approximately 3.464, not 6. The equation \( 6 \times 2 =12 \) is true, but it does not provide the correct square root.

Here's the summary:

1. **62 = 12** - **FALSE**
2. **82 = 8×8** - **TRUE**
3. **49−−√ = 7 because 7×7=49** - **TRUE**
4. **12−−√= 6 because 6×2 =12** - **FALSE**

Answer 5

To solve the addition of the rational numbers \(-212 + 623\), we need to first express them as improper fractions.

1. Convert \(-212\) and \(623\) to improper fractions.
- \(-212\) is simply \(-212\) (it remains the same).
- \(623\) is also simply \(623\).

Now we compute:

\[
-212 + 623 = 623 - 212
\]

Calculating it step by step:

1. **Subtract** \(212\) from \(623\):
\[
623 - 212 = 411
\]

So, we have:

\[
-212 + 623 = 411
\]

Now let's check the options given:

1. **413**
2. **4 and 1 third**
3. **−416**
4. **negative 4 and 1 sixth**
5. **916**
6. **9 and 1 sixth**
7. **416**
8. **4 and 1 sixth**

The correct answer is **411**, which is not explicitly listed but is closest to **416** in terms of options. However, as it cannot be found directly, if we just proceed with the addition, we arrive at **411** which is a positive rational number.

Nonetheless, if you want the closest match provided, consider checking the problem again, as **411** does not match the options.

If the arithmetic was intended to be in a different format or if the options contain a typographical error for expected results, generally the computation leads us to 411. Hence clarification or rechecking the problem prompt could provide further insight.