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Questions and Answers

What is the reference number used in the multiplication example provided?

  • 3
  • 125
  • 97
  • 100 (correct)
  • In the multiplication of 97 and 125, how much below the reference number is 97?

  • 97
  • 25
  • 100
  • 3 (correct)
  • What is the sum obtained after adding 97 and 25 in the given multiplication method?

  • 97
  • 100
  • 125
  • 122 (correct)
  • What mathematical operation is performed first after determining how much above or below the reference number each given number is?

    <p>Addition</p> Signup and view all the answers

    What is the final result of multiplying 122 by the reference number 100?

    <p>12,200</p> Signup and view all the answers

    When determining how much above or below the reference number, which symbol is used for numbers above?

    <ul> <li></li> </ul> Signup and view all the answers

    After determining that 97 is below the reference number, which of the following describes that position?

    <p>100-97</p> Signup and view all the answers

    In the process of cross multiplication, what results from subtracting 3 from 125?

    <p>122</p> Signup and view all the answers

    What is the primary benefit of teaching multiplication tables, according to the author?

    <p>It is the fastest and most pleasant way to learn basic math.</p> Signup and view all the answers

    When multiplying numbers above the reference number, where do you draw the circles?

    <p>Above the numbers as indicated for numbers exceeding the reference.</p> Signup and view all the answers

    In the example of multiplying 13 by 15, what mathematical operation is done after placing the circles?

    <p>Crosswise addition of one number's excess with the other number.</p> Signup and view all the answers

    How is the number 13 represented when using 10 as a reference number?

    <p>As 10 plus 3.</p> Signup and view all the answers

    What additional concepts do students learn while practicing their multiplication tables?

    <p>Fundamental number facts including positive and negative numbers.</p> Signup and view all the answers

    Why might some educators argue against teaching multiplication tables directly?

    <p>They think it may hinder problem-solving skills.</p> Signup and view all the answers

    What is represented by the numbers 3 and 5 in the context of multiplication in the teens?

    <p>The excess amount of each number above 10.</p> Signup and view all the answers

    Which of the following methods is specifically mentioned as part of the multiplication technique in the teens?

    <p>Crosswise addition after identifying excess values.</p> Signup and view all the answers

    What is the result of multiplying 96 by 96?

    <p>9216</p> Signup and view all the answers

    Which of the following pairs results in a product of 9,215?

    <p>97 × 95</p> Signup and view all the answers

    Identify the product of 95 multiplied by 95.

    <p>9025</p> Signup and view all the answers

    What is the correct result of multiplying 97 by 93?

    <p>9021</p> Signup and view all the answers

    What product results from multiplying 98 by 95?

    <p>9310</p> Signup and view all the answers

    When multiplying 98 by 94, what is the expected product?

    <p>9212</p> Signup and view all the answers

    Which calculation yields 9,016?

    <p>98 × 92</p> Signup and view all the answers

    What is the result of 97 multiplied by 94?

    <p>9118</p> Signup and view all the answers

    What is the first step in the calculation of multiplying 34 by a factor of 20?

    <p>Multiply 34 by 2</p> Signup and view all the answers

    What is the subtotal obtained after multiplying 34 by 20 using the method described?

    <p>680</p> Signup and view all the answers

    How is the final answer of 713 obtained in the calculation?

    <p>By adding 680 and 33</p> Signup and view all the answers

    What are the substitute numbers to check the multiplication 23 × 31 using the casting out nines method?

    <p>5 and 4</p> Signup and view all the answers

    What is the result of adding the digits of the product obtained from the substitute numbers 5 and 4?

    <p>2</p> Signup and view all the answers

    Which technique is suggested for multiplying numbers in the high teens?

    <p>Use 20 as a reference number</p> Signup and view all the answers

    Which of the following operations is performed to check if 713 is the correct answer using casting out the nines?

    <p>Multiply the substitute numbers</p> Signup and view all the answers

    What final result should a student expect after performing the calculations for 23 × 27 based on the method described?

    <p>693</p> Signup and view all the answers

    What is the result of adding the numbers in the circles above for the multiplication problem 12 × 17?

    <p>19</p> Signup and view all the answers

    What is the subtotal obtained after multiplying 19 by the reference number 10 in the 12 × 17 problem?

    <p>190</p> Signup and view all the answers

    When using the reference number method, what does a circle drawn below the reference number indicate?

    <p>To subtract the numbers in the circles</p> Signup and view all the answers

    In the example with 10, 13 × 15, what is the final answer after adding the product of circled numbers to the subtotal?

    <p>195</p> Signup and view all the answers

    How do you find the subtotal when the circled numbers are above the reference number?

    <p>Add the crossway sums and multiply by the reference number</p> Signup and view all the answers

    What mathematical operation is performed on the circled numbers when they are above the reference number?

    <p>They are added crosswise</p> Signup and view all the answers

    What should be added to the final answer from the multiplication process, according to the methodology described?

    <p>The product of the circled numbers</p> Signup and view all the answers

    If the final multiplication involves numbers below the reference number, what action must be taken?

    <p>Subtract the results of the circled numbers</p> Signup and view all the answers

    What is the correct verbal representation of the answer when calculating 98 × 98 using a reference number?

    <p>Nine thousand, six hundred and four</p> Signup and view all the answers

    How do you compute the answer when using double multiplication for 92 times 94 without knowing 8 times 6?

    <p>Use the circle method and perform subtraction</p> Signup and view all the answers

    If you follow the steps for calculating 96 × 96, which of the following results will you get?

    <p>9,216</p> Signup and view all the answers

    What is the primary method used to determine 96 in the context of multiplication with a reference number?

    <p>Taking 2 from 98</p> Signup and view all the answers

    When performing a calculation with reference numbers, what is the result of 2 times 2?

    <p>4</p> Signup and view all the answers

    In the context of the calculations described, what is the result of 98 × 97?

    <p>9,506</p> Signup and view all the answers

    What two numbers are filled in the circles when calculating 92 times 94 using double multiplication?

    <p>8 and 6</p> Signup and view all the answers

    What method is suggested for subtracting when calculating 92 × 94?

    <p>Subtract 6 from 94</p> Signup and view all the answers

    Study Notes

    Speed Math for Kids

    • Book by Bill Handley
    • Published by John Wiley & Sons, Inc. (2007)
    • Aims to teach basic calculations quickly and fun for kids.
    • Includes various mathematical methods and applications.
    • Provides methods for addition, subtraction, multiplication, and division.
    • Explains the use of reference numbers.
    • Includes practice sheets for learners.

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