The image you uploaded is a math worksheet titled "In-out Boxes." The task involves applying specific operations (multiplication or division by 2) to the numbers in the "In" column to find the corresponding results in the "Out" column. Below, I will solve the problems step by step and explain the solution.
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Worksheet Structure
The worksheet is divided into three sections:
1.
Section 1: Multiply by 2.
2.
Section 2: Divide by 2.
3.
Section 3: Mixed operations (multiply or divide by 2).
Each section has an "In" column with input numbers and an "Out" column where the results should be filled in based on the given operation.
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Section 1: Multiply by 2
#### Instructions:
- Multiply each number in the "In" column by 2 to get the result in the "Out" column.
#### Given Numbers:
- In: -15, -35, 5, -75, 9, 163, 195, 14
#### Calculations:
1. $ -15 \times 2 = -30 $
2. $ -35 \times 2 = -70 $
3. $ 5 \times 2 = 10 $
4. $ -75 \times 2 = -150 $
5. $ 9 \times 2 = 18 $
6. $ 163 \times 2 = 326 $
7. $ 195 \times 2 = 390 $
8. $ 14 \times 2 = 28 $
#### Results:
- Out: -30, -70, 10, -150, 18, 326, 390, 28
---
Section 2: Divide by 2
#### Instructions:
- Divide each number in the "In" column by 2 to get the result in the "Out" column.
#### Given Numbers:
- In: -10, -8, -1, 16, 1, 14, -64, -32
#### Calculations:
1. $ -10 \div 2 = -5 $
2. $ -8 \div 2 = -4 $
3. $ -1 \div 2 = -0.5 $
4. $ 16 \div 2 = 8 $
5. $ 1 \div 2 = 0.5 $
6. $ 14 \div 2 = 7 $
7. $ -64 \div 2 = -32 $
8. $ -32 \div 2 = -16 $
#### Results:
- Out: -5, -4, -0.5, 8, 0.5, 7, -32, -16
---
Section 3: Mixed Operations
#### Instructions:
- Apply the specified operation (multiply or divide by 2) to each number in the "In" column to get the result in the "Out" column.
#### Given Numbers and Operations:
1.
Multiply by 2:
- In: -30, -16, 2, 6
- Calculations:
- $ -30 \times 2 = -60 $
- $ -16 \times 2 = -32 $
- $ 2 \times 2 = 4 $
- $ 6 \times 2 = 12 $
- Out: -60, -32, 4, 12
2.
Divide by 2:
- In: -80, -13, 12, 132
- Calculations:
- $ -80 \div 2 = -40 $
- $ -13 \div 2 = -6.5 $
- $ 12 \div 2 = 6 $
- $ 132 \div 2 = 66 $
- Out: -40, -6.5, 6, 66
#### Results:
- Multiply by 2: Out: -60, -32, 4, 12
- Divide by 2: Out: -40, -6.5, 6, 66
---
Final Answer
Combining all the results:
1.
Section 1 (Multiply by 2):
- Out:
-30, -70, 10, -150, 18, 326, 390, 28
2.
Section 2 (Divide by 2):
- Out:
-5, -4, -0.5, 8, 0.5, 7, -32, -16
3.
Section 3 (Mixed Operations):
- Multiply by 2: Out:
-60, -32, 4, 12
- Divide by 2: Out:
-40, -6.5, 6, 66
$$
\boxed{
\begin{array}{l}
\text{Section 1: } -30, -70, 10, -150, 18, 326, 390, 28 \\
\text{Section 2: } -5, -4, -0.5, 8, 0.5, 7, -32, -16 \\
\text{Section 3: Multiply by 2: } -60, -32, 4, 12 \\
\text{Section 3: Divide by 2: } -40, -6.5, 6, 66
\end{array}
}
$$
Parent Tip: Review the logic above to help your child master the concept of multiply divide integers worksheet.