Math Gr 8 Ch 1: Calculating Techniques
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Questions and Answers

What is the purpose of rounding off in calculations?

  • To eliminate the need for compensating
  • To get an exact result
  • To make the calculation more complex
  • To simplify calculations and estimate the result (correct)

    • What is the correct way to align numbers in column addition?

  • Randomly aligning the numbers
  • Aligning the numbers horizontally by their place values
  • Aligning the numbers diagonally by their place values
  • Aligning the numbers vertically by their place values (correct)

    • What happens when the top digit is smaller than the bottom digit in a column during column subtraction?

  • You add 1 to the top digit
  • You borrow from the next left column (correct)
  • You subtract 1 from the top digit
  • You stop the subtraction process

    • What is the purpose of breaking down each number into its components in expanded notation?

    <p>To simplify the calculation by adding corresponding parts separately</p> Signup and view all the answers

    What is the result of multiplying each digit separately in multiplication in parts?

    <p>Multiple partial products that need to be summed</p> Signup and view all the answers

    What is the purpose of carrying over in multiplication?

    <p>To write down the last digit of the product and carry over any extra value to the next column</p> Signup and view all the answers

    What is the correct way to perform long division?

    <p>Dividing the number step-by-step, starting with the leftmost digits of the dividend</p> Signup and view all the answers

    What is the total error in rounding off and compensating?

    <p>The sum of the errors introduced by rounding each number</p> Signup and view all the answers

    When using the column addition method, what should you do when you have an extra value in a column?

    <p>Carry over the extra value to the next column.</p> Signup and view all the answers

    What is the advantage of breaking down each number into its components in expanded notation?

    <p>It helps to avoid mistakes by adding corresponding parts separately.</p> Signup and view all the answers

    What is the purpose of borrowing in column subtraction?

    <p>To increase the top digit by 10 while decreasing the digit in the column from which you borrowed by 1.</p> Signup and view all the answers

    What happens when you round a number to the nearest ten?

    <p>The number becomes less accurate.</p> Signup and view all the answers

    What is the result of multiplying each digit separately in multiplication in parts?

    <p>Multiple partial products.</p> Signup and view all the answers

    Why do you need to adjust for the total error when using rounding off and compensating?

    <p>To ensure the calculation is accurate.</p> Signup and view all the answers

    What is the correct way to perform long division?

    <p>Divide the number step-by-step, starting with the leftmost digits.</p> Signup and view all the answers

    What happens when you compensate for errors introduced by rounding?

    <p>The errors are reduced.</p> Signup and view all the answers

    What is the main difference between rounding off and compensating?

    <p>Compensating involves adjusting for errors, while rounding off does not.</p> Signup and view all the answers

    In column addition, what happens when you have an extra value in a column?

    <p>You carry over the extra value to the next column.</p> Signup and view all the answers

    Why is borrowing necessary in column subtraction?

    <p>To ensure the correct answer is obtained.</p> Signup and view all the answers

    What is the advantage of using expanded notation in addition?

    <p>It reduces the chance of errors.</p> Signup and view all the answers

    When multiplying in parts, what do you do with the last digit of the product?

    <p>You write it down and carry over any extra value.</p> Signup and view all the answers

    What is the purpose of dividing the number step-by-step in long division?

    <p>To ensure the correct answer is obtained.</p> Signup and view all the answers

    What happens when you round a number to the nearest hundred?

    <p>You introduce an error of up to 50.</p> Signup and view all the answers

    Why do you need to adjust for the total error when using rounding off and compensating?

    <p>To ensure the correct answer is obtained.</p> Signup and view all the answers

    What is the main benefit of using the expanded notation in addition?

    <p>It enables the calculation of the sum by breaking down each number into its components.</p> Signup and view all the answers

    When subtracting numbers in columns, what should you do if the digit in the top number is smaller than the digit in the bottom number in a column?

    <p>Borrow from the next left column, increasing the top digit by 10 and decreasing the digit in the column from which you borrowed by 1.</p> Signup and view all the answers

    What is the purpose of carrying over in multiplication in parts?

    <p>To ensure the correct calculation of the product.</p> Signup and view all the answers

    When using the column subtraction method, what happens when you borrow from the next left column?

    <p>The digit in the top number increases by 10 and the digit in the column from which you borrowed decreases by 1.</p> Signup and view all the answers

    What is the primary advantage of using the column addition method?

    <p>It allows for the calculation of the sum by aligning numbers by their place values.</p> Signup and view all the answers

    When using the multiplication in parts method, what should you do with the last digit of the product?

    <p>Write it down and carry over any extra value to the next column.</p> Signup and view all the answers

    What is the main difference between the column addition and column subtraction methods?

    <p>Column addition is used for adding numbers, while column subtraction is used for subtracting numbers.</p> Signup and view all the answers

    What is the purpose of dividing the number step-by-step in long division?

    <p>To ensure the correct calculation of the quotient by considering each digit separately.</p> Signup and view all the answers

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