PE4MA Multiplication Medium

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Questions and Answers

What is the first step in multiplying 62 by 4?

  • Multiply 2 ones by 4. (correct)
  • Regroup 20 tens into 2 hundreds.
  • Multiply 6 tens by 4.
  • Write 8 in the tens place.

In the multiplication of 25 by 6, what is written in the ones place after the first step?

  • 5
  • 0 (correct)
  • 30
  • 3

What must be done after multiplying 6 by 4 in the problem 62 x 4?

  • Write 8 in the hundreds place.
  • Write 4 in the tens place and regroup 20 into hundreds. (correct)
  • Add the results.
  • Multiply 2 by 4 again.

What is the total result of 23 multiplied by 21?

<p>483 (A)</p> Signup and view all the answers

During the multiplication of 27 by 12, which number is regrouped in Step 1?

<p>14 (C)</p> Signup and view all the answers

What would be the next digit written after completing Step 2 in the multiplication of 27 by 12?

<p>5 (B)</p> Signup and view all the answers

In the multiplication of two-digit numbers, what is the purpose of aligning the digits by place values?

<p>To facilitate straightforward multiplication. (B)</p> Signup and view all the answers

When performing 64 x 2, what should be the first step?

<p>Multiply 4 by 2. (D)</p> Signup and view all the answers

How do you regroup in multiplication problems like 25 x 6?

<p>You shift tens into hundreds. (A)</p> Signup and view all the answers

What is the final result of adding the digits from the multiplication of 27 by 12?

<p>324 (C)</p> Signup and view all the answers

What is the result of multiplying 53 by 34 using a standard multiplication method?

<p>1,802 (A)</p> Signup and view all the answers

In the multiplication process of 217 x 4, what value is written in the tens place after regrouping?

<p>6 (B)</p> Signup and view all the answers

What is the first step in multiplying 42538 by 39 using the horizontal arrangement method?

<p>Multiplying by 9 ones (C)</p> Signup and view all the answers

When using the method of boxes to multiply 276 by 123, what do you write in the top triangle of the boxes?

<p>Tens place values (A)</p> Signup and view all the answers

What is the result of adding the numbers after the diagonal addition when multiplying using the box method for 276 x 123?

<p>33,948 (A)</p> Signup and view all the answers

During the multiplication of 78 x 69, what is the value written in the hundreds place after regrouping?

<p>5 (C)</p> Signup and view all the answers

Which of the following represents the complete result of multiplying 3125 by 12 using the standard multiplication approach?

<p>37,500 (C)</p> Signup and view all the answers

What step follows multiplying 60 by 8 in the multiplication of 78 x 69?

<p>Add 4680 (B)</p> Signup and view all the answers

In the calculation of 97 x 88, which part of the process typically involves regrouping?

<p>During the addition of the final result (C)</p> Signup and view all the answers

What is the value of 480 after the second step when multiplying using the standard method?

<p>480 (D)</p> Signup and view all the answers

The total number of bars of soap bought by the businessman is obtained by multiplying the number of boxes with each box containing how many bars?

<p>20 (C)</p> Signup and view all the answers

How many bottles of soda did the school purchase if it bought 5624 crates, with each crate containing 24 bottles?

<p>134,976 (C)</p> Signup and view all the answers

If a factory prints 685390 books each day, how many books will it print in 317 days?

<p>217,173,530 (A)</p> Signup and view all the answers

A bus carries 60 sacks of beans per trip. How many sacks will it carry in 19 trips?

<p>1,140 (B)</p> Signup and view all the answers

If 3841 trees are planted in 389 nurseries, what is the total number of trees planted?

<p>1,493,189 (A)</p> Signup and view all the answers

What will be the total number of passengers served by an airport over five months if it serves 462015 passengers each month?

<p>2,310,075 (D)</p> Signup and view all the answers

If an average of 128 children are born each month in a hospital, how many children will be born in 12 months?

<p>1,536 (A)</p> Signup and view all the answers

How many sacks can 728 warehouses store if each warehouse stores 8985 sacks?

<p>6,527,880 (C)</p> Signup and view all the answers

If a farmer has 5998 laying hens and each lays two eggs per day, how many eggs will be laid in nine weeks?

<p>756,396 (B)</p> Signup and view all the answers

The number 42538 multiplied by 39 results in which of the following totals?

<p>1,658,982 (C)</p> Signup and view all the answers

Flashcards

Multiplication

The process of repeated addition of the same number.

Multiplier

The number that is being multiplied by.

Multiplicand

The number that is being multiplied.

Product

The result of multiplying two numbers together.

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Exponents

Multiplying a number by itself a certain number of times.

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Two-digit multiplication by a one-digit multiplier

Multiplying numbers with two digits by a number with one digit.

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Two-digit multiplication by a two-digit multiplier

Multiplying numbers with two digits by another number with two digits.

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Multiplication concept

Combining groups of objects to find the total number.

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Multiplication steps

Multiplying the ones place by the multiplier, then the tens place.

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Activity 1: Developing the concept of multiplication

The process of grouping similar objects by counting them.

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Step 1: Multiplying ones

Multiplying the ones digit of the multiplier by the ones digit of the multiplicand. Carrying over any carried tens to the tens digit.

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Step 2: Multiplying Tens

Multiplying the ones digit of the multiplier by the tens digit of the multiplicand. Adding any carried tens to the result, and writing the number in the tens place.

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Step 3: Multiplying Hundreds

Multiplying the ones digit of the multiplier by the hundreds digit of the multiplicand. Adding any carried hundreds to the result, and writing the number in the hundreds place.

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Step 4: Adding Partial Results

Adding all the partial results from Steps 1 to 3.

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Step 5: Multiplying tens digit by ones digit

Multiplying the tens digit of the multiplier by the ones digit of the multiplicand, then carrying over any tens to the tens place.

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Step 6: Multiplying tens digit by tens digit

Multiplying the tens digit of the multiplier by the tens digit of the multiplicand, adding any carried tens, then writing the result in the tens place, carrying over any hundreds to the hundreds place.

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Step 7: Multiplying tens digit by hundreds digit

Multiplying the tens digit of the multiplier by the hundreds digit of the multiplicand, adding any carried hundreds, then writing the result in the hundreds place, carrying over any thousands to the thousands place.

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Step 8: Adding Partial Results

Adding the partial results from Steps 5 to 7 to obtain the final answer.

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Method of Boxes

A method of multiplication using boxes to organize and perform the multiplication.

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Horizontal Arrangement Method

A horizontal arrangement method used to multiply numbers with up to six digits by a multiplier with up to three digits

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Word Problem Involving Multiplication

A word problem involving multiplication requires you to find the total number of items when you have multiple groups of the same size.

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Breaking down two-digit multiplication

The process of multiplying two-digit numbers by two-digit numbers can be broken down into a series of simpler multiplications.

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Adding the products of two-digit multiplication

To combine the results of multiplying the ones and tens digits, add the two products together.

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Learning Multiplication Through Online Lessons

Practice multiplication by using online resources. These lessons offer a visual and interactive way to learn the concept and explore different types of multiplication problems.

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Study Notes

Multiplication of Whole Numbers

  • Multiplication is used in various daily activities like business, construction, statistics, sports, and finance.
  • Multiplication involves finding the total of equal groups.

Multiplication of Two-Digit Numbers by One-Digit Multiplier

  • Multiply the ones place of the two-digit number by the one-digit multiplier.
  • Multiply the tens place of the two-digit number by the one-digit multiplier.
  • Add any carried-over tens to the other product.
  • Examples include 62 x 4, 25 x 6, and more.

Multiplication of Two-Digit Numbers by Two-Digit Multiplier

  • Write the multiplication problem vertically, aligning the digits by place value.
  • Multiply the one-digit multiplier by each digit in the two-digit multiplicand, starting from the ones place.
  • Multiply the tens digit of the multiplier by each digit of the multiplicand, placing the product with a zero in the tens place.
  • Add the products to find the final answer.
  • Examples include 23 x 21, 78 x 69, and more.

Multiplication of Three-Digit Numbers

  • Similar to two-digit x two-digit multiplication; however, include the hundreds place when multiplying.
  • Examples include 217 x 4, 278 x 13, 624 x 35, and more.

Multiplication of Numbers with Up to Six Digits by a Multiplier

  • Arrange numbers in either vertical or horizontal order.
  • Multiply digits starting from the ones place, then tens, hundreds, thousands, ten thousands, and hundred thousands places.
  • The multiplier is the number used to multiply another number.

Word Problems

  • Word problems involving multiplication of whole numbers include scenarios such as calculating the total items in multiple boxes, or total items within a given time scale.
  • Examples include finding the total weight of packages, total items in multiple containers, etc.

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