Question
MAINEMATICS GRADE 8 Question 1 Perform the following calculations: \( \begin{array}{l}\text { 1.1. } \begin{array}{l}27952 \\ \pm 19238\end{array} \\ \text { 1.2. } 24356 \div 5 \text { using long division. } \\ \text { 1.3. } 342 \times 38 \text { without using a calculator. } \\ \text { Question } 2\end{array} \)
Ask by Chambers Gibson. in South Africa
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
1.1. \( 27952 + 19238 = 47190 \)
1.1. \( 27952 - 19238 = 8714 \)
1.2. \( 24356 \div 5 = 4871 \) with a remainder of \( 1 \)
1.3. \( 342 \times 38 = 12996 \)
Solution
Let's solve each part of Question 1 step by step.
### Question 1.1: Addition and Subtraction
We need to perform the following calculations:
- \( 27952 + 19238 \)
- \( 27952 - 19238 \)
**Step 1: Addition**
\[
27952 + 19238
\]
**Step 2: Subtraction**
\[
27952 - 19238
\]
Now, let's calculate these values.
### Question 1.2: Long Division
We need to divide \( 24356 \) by \( 5 \) using long division.
**Step 1: Set up the long division.**
- Divide \( 24356 \) by \( 5 \).
**Step 2: Perform the long division step by step.**
1. \( 5 \) goes into \( 24 \) (the first two digits) \( 4 \) times (since \( 5 \times 4 = 20 \)).
2. Subtract \( 20 \) from \( 24 \) to get \( 4 \).
3. Bring down the next digit \( 3 \) to make \( 43 \).
4. \( 5 \) goes into \( 43 \) \( 8 \) times (since \( 5 \times 8 = 40 \)).
5. Subtract \( 40 \) from \( 43 \) to get \( 3 \).
6. Bring down the next digit \( 5 \) to make \( 35 \).
7. \( 5 \) goes into \( 35 \) \( 7 \) times (since \( 5 \times 7 = 35 \)).
8. Subtract \( 35 \) from \( 35 \) to get \( 0 \).
9. Bring down the last digit \( 6 \) to make \( 6 \).
10. \( 5 \) goes into \( 6 \) \( 1 \) time (since \( 5 \times 1 = 5 \)).
11. Subtract \( 5 \) from \( 6 \) to get \( 1 \).
The result of the long division is \( 4871 \) with a remainder of \( 1 \).
### Question 1.3: Multiplication
We need to calculate \( 342 \times 38 \) without using a calculator.
**Step 1: Break down the multiplication.**
\[
342 \times 38 = 342 \times (30 + 8) = 342 \times 30 + 342 \times 8
\]
**Step 2: Calculate each part.**
1. \( 342 \times 30 = 342 \times 3 \times 10 = 1026 \times 10 = 10260 \)
2. \( 342 \times 8 = 2736 \) (calculated as \( 342 \times 8 \) directly).
**Step 3: Add the results.**
\[
10260 + 2736
\]
Now, let's calculate the results for each part.
### Performing the calculations
1. **Addition and Subtraction:**
- \( 27952 + 19238 = 47190 \)
- \( 27952 - 19238 = 8714 \)
2. **Long Division:**
- \( 24356 \div 5 = 4871 \) with a remainder of \( 1 \).
3. **Multiplication:**
- \( 342 \times 38 = 10260 + 2736 = 12996 \)
### Final Answers
1.1. \( 27952 + 19238 = 47190 \)
1.1. \( 27952 - 19238 = 8714 \)
1.2. \( 24356 \div 5 = 4871 \) (remainder \( 1 \))
1.3. \( 342 \times 38 = 12996 \)
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Beyond the Answer
When working with large numbers and performing operations like addition, subtraction, and multiplication, it's helpful to break them down into smaller parts. For example, in the calculation \(27952 \pm 19238\), you can separate the thousands, hundreds, and units to make it easier to manage. That way, you can add or subtract these sections one at a time, ensuring accuracy! Long division can be tricky, but practicing with different numbers can help build confidence. Remember, with \(24356 \div 5\), start with the highest place value, figuring out how many times 5 can fit into each section of the number. Don’t forget to carry over any remainders to the next column!
