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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 (D)</p> Signup and view all the answers

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

<p>12,200 (B)</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>(B)</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 (D)</p> Signup and view all the answers

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

<p>122 (A)</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. (D)</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. (D)</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. (A)</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. (A)</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. (A)</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. (B)</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. (C)</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. (D)</p> Signup and view all the answers

What is the result of multiplying 96 by 96?

<p>9216 (B)</p> Signup and view all the answers

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

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

Identify the product of 95 multiplied by 95.

<p>9025 (B)</p> Signup and view all the answers

What is the correct result of multiplying 97 by 93?

<p>9021 (B)</p> Signup and view all the answers

What product results from multiplying 98 by 95?

<p>9310 (D)</p> Signup and view all the answers

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

<p>9212 (D)</p> Signup and view all the answers

Which calculation yields 9,016?

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

What is the result of 97 multiplied by 94?

<p>9118 (B)</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 (B)</p> Signup and view all the answers

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

<p>680 (D)</p> Signup and view all the answers

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

<p>By adding 680 and 33 (D)</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 (A)</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 (B)</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 (A)</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 (D)</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 (A)</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 (B)</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 (D)</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 (A)</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 (D)</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 (A)</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 (C)</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 (B)</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 (D)</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 (B)</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 (B)</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 (C)</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 (D)</p> Signup and view all the answers

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

<p>4 (D)</p> Signup and view all the answers

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

<p>9,506 (B)</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 (D)</p> Signup and view all the answers

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

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

Flashcards

Double Multiplication Method

A method for multiplying two numbers close to 100. It involves subtracting differences from 100 and then adding the product of the differences.

Reference Number

A base number, often 100, used in a shortcut multiplication method for numbers close to this base. This helps in calculating the answer faster.

Difference from 100

The numerical gap between the given number and the reference number 100.

Subtract Crossways

Subtract the differences from the numbers close to 100 in a crisscross manner in order to facilitate the process.

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Product of Differences

The result of multiplying the differences between each number and the reference number (100).

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98 x 98

An example of multiplying two close numbers to 100 using the double multiplication method.

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96 x 96

Another example of multiplying two close numbers together.

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Mental Calculation Shortcut

A quick method to find the answer to calculations without using a calculator.

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Multiplication of 90s

A method for multiplying numbers close to 100 (e.g., 96 x 98) efficiently

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Reference number

A number used as a benchmark for multiplication to avoid complex calculations

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96 x 96 calculation

The calculation that results in the answer 9216

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Speed Math Method

A computational technique to facilitate quick multiplication, especially between close numbers

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Mental Calculation

Doing calculations in your head without using aids like calculators or paper

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Example Calculation (98 x 94)

Multiplication of numbers very near 100. This requires a method beyond basic multiplication.

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Calculation strategy (96 x 94)

A specific approach to multiplying numbers where one is slightly lower than the other (both near 100).

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First Grade Example

Story showing a child demonstrating advanced computational skills in multiplication.

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Multiplication Tables

A set of facts showing the product of two numbers multiplied together.

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Reference Number

A number used as a basis for calculation, often 10 or 100 (example: in multiplication)

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Multiplying Teens

Multiplying numbers greater than 10 (teens).

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Example of multiplication

Using 13 × 15, multiplication method showing the process.

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Method for Teens products

A method to multiply numbers above 10 in multiplication.

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Calculating Crossways

Adding the products of individual components to derive the final product in multiplication.

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Multiplication approach

The method that works for multiplication, whether of numbers less than or greater than the reference number.

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Basic Number Facts

Fundamental arithmetic combinations that form the building blocks of multiplication.

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Multiplying above and below 100

A multiplication method where one number is above 100 and the other is below 100 using 100 as a reference.

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Reference Number

A benchmark number, often 100, used for approximating calculations.

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Difference from 100

The distance between a given number and 100

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Crossways Calculation

Calculating using the distances from 100 in opposite directions.

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97 x 125 calculation

Multiplication example using 100 as a reference to find 97 X 125, finding the result

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Numbers Above/Below 100

Multiplication method adjusting for numbers greater or smaller than 100

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Calculate 122 X 100

Multiplication example with straightforward calculation, following by calculation example

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Shortcut Multiplication

A method for multiplying numbers close to a reference number using a simple calculation with adjustment.

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Multiplying numbers close to 10

A method to multiply numbers around 10 by using a reference number of 10 and adding or subtracting diagonally, then multiplying by 10, and adding the product of the circled numbers.

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Reference number in multiplication

A base number, usually 10, used as a starting point for quick multiplication.

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Numbers above/below reference number

Numbers larger/smaller than the reference number using a 10 reference.

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Subtotal calculation

The result of multiplying the sum of the numbers in rows/columns with the reference number

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Diagonal Addition/Subtraction

Adding or Subtracting the circled numbers based on their position above or below the reference number in a calculation.

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Final answer calculation

The outcome of adding the subtotal to the product of the circled numbers.

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Example: 12 x 17

Multiplying 12 by 17 involves placing 2 and 7 above 10, adding crosswise, multiplying by 10, and adding the product 2 X 7 to find the final answer.

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Example: 10's as reference

Using 10 as the central reference point when computing a multiple, breaking down the problem into smaller, solvable steps.

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Multiplying 3-digit numbers

Multiplying two numbers in the 20s together, using a reference number (like 20), and adjusting accordingly

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Casting out nines

A method of checking if a multiplication answer is correct by subtracting the sum of the digits to each result

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Multiplication reference number

A number used as a base for calculations to solve multiplication problems quicker

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Multiplication of Teens

Multiplication involving numbers in the teens(e.g., 11, 12)

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Sub-total

A partial product in a multiplication, used in multistep calculation

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Multiplication method

A specific approach for performing multiplication of numbers

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Multiplication calculation

The process of multiplying two numbers to calculate the product

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Multiplication by reference

A shortcut multiplication method utilizing a reference number

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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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