MATHEMATICS GRADE 8ASSIGNMENT 1Question 1Perform The Following Calculations:1.1. \[$\begin{array}{r}27952 \\ +19238 \\ \hline\end{array}\$\]1.2. \[$24356 \div 5\$\] Using Long Division.1.3. \[$342 \times 38\$\] Without Using A

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Mathematics Grade 8 Assignment 1: Calculations and Long Division

In this assignment, we will be performing various calculations and long division to solve problems. We will start by adding two large numbers, then divide a number by 5 using long division, and finally multiply two numbers without using a calculator.

Question 1.1: Adding Large Numbers

Problem

Perform the following calculation:

{\begin{array}{r}27952 \ +19238 \ \hline\end{array}$}$

Solution

To add these two large numbers, we will start by aligning the numbers and then add each column from right to left.

{\begin{array}{r}27952 \ +19238 \ \hline\end{array}$ = \begin{array}{r} \ \ \hline\end{array}$

We will start by adding the rightmost column:

[$\begin{array}{r}27952 \ +19238 \ \hline\end{array}$ = \begin{array}{r} \ 2 \ \hline\end{array}$

Next, we will add the next column:

[$\begin{array}{r}27952 \ +19238 \ \hline\end{array}$ = \begin{array}{r} \ 12 \ \hline\end{array}$

We will continue this process until we have added all the columns.

[$\begin{array}{r}27952 \ +19238 \ \hline\end{array}$ = \begin{array}{r}47190 \ \hline\end{array}$

Therefore, the result of the calculation is 47190.

Question 1.2: Dividing by 5 using Long Division

Problem

Perform the following calculation:

[24356 \div 5\$}

Solution

To divide 24356 by 5 using long division, we will start by dividing the first digit of the dividend (2) by the divisor (5).

${24356 \div 5\$} = \begin{array}{r} \ 4 \ \hline\end{array}$

Next, we will multiply the result (4) by the divisor (5) and subtract the product from the dividend.

${24356 \div 5\$} = \begin{array}{r} \ 4 \ \hline\end{array}$

We will continue this process until we have divided all the digits of the dividend.

${24356 \div 5\$} = \begin{array}{r} \ 4871 \ \hline\end{array}$

Therefore, the result of the calculation is 4871.

Question 1.3: Multiplying without using a Calculator

Problem

Perform the following calculation:

${342 \times 38\$}

Solution

To multiply 342 by 38 without using a calculator, we will start by multiplying the first digit of the first number (3) by the second number (38).

${342 \times 38\$} = \begin{array}{r} \ 12906 \ \hline\end{array}$

Next, we will multiply the next digit of the first number (4) by the second number (38).

${342 \times 38\$} = \begin{array}{r} \ 12906 \ \hline\end{array}$

We will continue this process until we have multiplied all the digits of the first number.

${342 \times 38\$} = \begin{array}{r} \ 12996 \ \hline\end{array}$

Therefore, the result of the calculation is 12996.

In this assignment, we have performed various calculations and long division to solve problems. We have added two large numbers, divided a number by 5 using long division, and multiplied two numbers without using a calculator. These calculations have helped us to understand the importance of basic arithmetic operations in mathematics.
Mathematics Grade 8 Assignment 1: Calculations and Long Division - Q&A

In this Q&A article, we will be answering some common questions related to the calculations and long division performed in the previous assignment. We will cover topics such as adding large numbers, dividing by 5 using long division, and multiplying without using a calculator.

Q: How do I add large numbers?

A: To add large numbers, you can use the standard addition algorithm. Start by aligning the numbers and then add each column from right to left. Make sure to carry over any digits that are greater than 9.

Q: What is the correct order of operations when adding large numbers?

A: The correct order of operations when adding large numbers is:

  1. Align the numbers
  2. Add each column from right to left
  3. Carry over any digits that are greater than 9

Q: How do I divide by 5 using long division?

A: To divide by 5 using long division, start by dividing the first digit of the dividend by the divisor. Then, multiply the result by the divisor and subtract the product from the dividend. Continue this process until you have divided all the digits of the dividend.

Q: What is the correct order of operations when dividing by 5 using long division?

A: The correct order of operations when dividing by 5 using long division is:

  1. Divide the first digit of the dividend by the divisor
  2. Multiply the result by the divisor and subtract the product from the dividend
  3. Continue this process until you have divided all the digits of the dividend

Q: How do I multiply without using a calculator?

A: To multiply without using a calculator, start by multiplying the first digit of the first number by the second number. Then, multiply the next digit of the first number by the second number and add the result to the previous product. Continue this process until you have multiplied all the digits of the first number.

Q: What is the correct order of operations when multiplying without using a calculator?

A: The correct order of operations when multiplying without using a calculator is:

  1. Multiply the first digit of the first number by the second number
  2. Multiply the next digit of the first number by the second number and add the result to the previous product
  3. Continue this process until you have multiplied all the digits of the first number

Q: What are some common mistakes to avoid when performing calculations and long division?

A: Some common mistakes to avoid when performing calculations and long division include:

  • Not aligning the numbers correctly
  • Not carrying over digits that are greater than 9
  • Not multiplying and subtracting correctly
  • Not following the correct order of operations

In this Q&A article, we have answered some common questions related to the calculations and long division performed in the previous assignment. We have covered topics such as adding large numbers, dividing by 5 using long division, and multiplying without using a calculator. By following the correct order of operations and avoiding common mistakes, you can perform calculations and long division with confidence.

If you need additional help with calculations and long division, here are some additional resources:

  • Online calculators and worksheets
  • Math textbooks and workbooks
  • Online math tutorials and videos
  • Math apps and software

Remember, practice makes perfect! The more you practice calculations and long division, the more confident you will become.