MAINEMATICS GRADE 8 Question 1 Perform the following calculations: \( \begin{array}{l}\text { 1.1. } \begin{array}{l}27952 \\ \pm 19238\end{array} \\ \text { 1.2. } 24356 \div 5 \text { using long division. } \\ \text { 1.3. } 342 \times 38 \text { without using a calculator. } \\ \text { Question } 2\end{array} \)

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. \( 342 \times 38 = 12996 \)