PE4MA Multiplication

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Questions and Answers

What is the result of the multiplication 78 x 69?

  • 5,382 (correct)
  • 4,982
  • 5,482
  • 6,582

In the multiplication of 217 x 4, how many tens are regrouped to the tens place from the ones place?

  • 0
  • 1
  • 2 (correct)
  • 3

What is the final result of 3125 multiplied by 12 using the box method?

  • 38,500
  • 36,500
  • 35,500
  • 37,500 (correct)

When multiplying 276 by 123, what is the value of the last partial product in the row before the final addition?

<p>27,600 (B)</p> Signup and view all the answers

During the multiplication 78 x 69, what is the total value when adding the results of steps 1 and 3?

<p>702 (D)</p> Signup and view all the answers

In the box method for multiplication, how should the digits of the multiplier be arranged?

<p>Horizontally on the top (B)</p> Signup and view all the answers

What is the sum of the final results when multiplying 42538 by 9 and 30 separately?

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

What is the first step to multiply 62 by 4?

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

When multiplying 25 by 6, what is written in the ones place after the calculations?

<p>0 (C)</p> Signup and view all the answers

Which step in the multiplication of 217 x 4 involves adding the tens obtained from multiplying 4 by 10?

<p>Step 2 (A)</p> Signup and view all the answers

What is the regrouped value from the first multiplication in 276 x 123?

<p>800 (C)</p> Signup and view all the answers

What is the result of 72 multiplied by 8?

<p>576 (C)</p> Signup and view all the answers

In the multiplication 27 x 12, what needs to be regrouped after the first multiplication step?

<p>14 into 1 ten. (B)</p> Signup and view all the answers

What is the last step in multiplying 23 by 21?

<p>Add the results from steps 1 to 4. (D)</p> Signup and view all the answers

Which of the following represents the multiplication process of 38 x 7?

<p>Multiply 8 by 7 then 3 by 7. (D)</p> Signup and view all the answers

What is the result of 23 times 20?

<p>460 (C)</p> Signup and view all the answers

In the process of multiplying two-digit numbers by a two-digit multiplier, how are the digits aligned?

<p>By their values. (C)</p> Signup and view all the answers

When multiplying 64 by 2, what is the product?

<p>128 (B)</p> Signup and view all the answers

What does the regrouping technique in multiplication help facilitate?

<p>Allows for easier addition of products. (B)</p> Signup and view all the answers

What is the product of 8202 and 200?

<p>1,640,000 (A)</p> Signup and view all the answers

How many total eggs will be laid by 5998 hens in nine weeks if each hen lays two eggs per day?

<p>755,688 (B)</p> Signup and view all the answers

If a factory prints 685,390 books per day, how many books does it print in 317 days?

<p>217,317,030 (A)</p> Signup and view all the answers

What is the number of children expected to be born in 12 months if an average of 128 children are born each month?

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

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

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

If villagers planted 3841 trees in each of 389 nurseries, how many total trees were planted?

<p>1,492,169 (A)</p> Signup and view all the answers

Calculate the total number of pupils who sat for an examination if 309 schools had 208 pupils each.

<p>62,472 (A)</p> Signup and view all the answers

An airport serves 462,015 passengers per month. How many passengers will it serve in five months?

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

What is the result of multiplying 239,586 by 24?

<p>5,826,830 (B)</p> Signup and view all the answers

If a box contains 20 bars of soap and a businessman bought 170 boxes, how many bars of soap did he buy?

<p>3,400 (C)</p> Signup and view all the answers

Flashcards

Multiplication

The process of combining equal groups to find a total.

Multiplier

The number of groups in a multiplication problem.

Multiplicand

The number that is being multiplied.

Product

The result of a multiplication problem.

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Multiplying Ones Place

Multiplying a two-digit number by a one-digit number and writing down the product in the ones place, then regrouping the tens.

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Multiplying Tens Place

Multiplying the tens place of a two-digit number by a one-digit number, adding any regrouped tens, and writing the result in the tens place.

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Multiplying two-digit numbers

The process of multiplying a two-digit number by another two-digit number.

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Multiplying Ones by Ones

Multiplying ones place of the second number with the ones place of the first.

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Multiplying Ones by Tens

Multiplying ones place of the second number with the tens place of the first.

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Multiplying Tens by Tens

Multiplying tens place of the second number with the tens place of the first.

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Box Method for Multiplication

Multiplying each digit of the multiplier by each digit of the multiplicand, then adding the results diagonally.

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Partial Products

Breaking down a multiplication problem into steps, multiplying each digit separately and then adding the results.

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Horizontal Arrangement Method

Rearranging a multiplication problem vertically by aligning the digits in each place value column, then performing step-by-step multiplication.

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Step-by-Step Multiplication

Multiplying each digit of the multiplicand by the multiplier, then adding the partial products together.

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Vertical Multiplication

A method of multiplying where you write the product of each digit of the multiplier by each digit of the multiplicand in separate rows, and then add the results.

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Traditional Multiplication

A method of multiplying where you multiply the ones digit of the multiplier by the multiplicand, then the tens digit of the multiplier, and so on, adding the results together.

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What is the result of multiplication called?

When multiplying two numbers, the result is called the product.

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What is the number that we use to multiply another called?

The number by which we multiply another number is called the multiplier.

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What is the number that is being multiplied by the multiplier called?

The number being multiplied is called the multiplicand.

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How do you multiply the ones place in a 1-digit by 1-digit multiplication?

When multiplying a one-digit number by another one-digit number, we start by multiplying the ones place and write the product in the ones place.

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How do you multiply ones place in a 2-digit by 1-digit multiplication?

When multiplying a two-digit number by a one-digit number, we multiply the ones place of the two-digit number by the one-digit number and write the product in the ones place. If the product is greater than 9, we carry over the tens digit to the tens place.

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How do you multiply the tens place in a 2-digit by 1-digit multiplication?

When multiplying a two-digit number by a one-digit number, we multiply the tens place of the two-digit number by the one-digit number, add any carried over tens, and write the result in the tens place.

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How do you multiply two-digit numbers by two-digit numbers?

When multiplying a two-digit number by a two-digit number, we multiply the ones place of the second number by the ones place of the first number, then the ones place of the second number by the tens place of the first number, and so on.

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In word problems involving groups, how do you find the total number of items?

To find the total number of items in a group, we multiply the number of items in each smaller group by the number of smaller groups.

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How do you multiply a number by 10, 100, or 1000?

When multiplying a number by 10, add a zero to the right of the number. When multiplying by 100, add two zeros, and so on.

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What happens when you multiply any number by 0?

Multiplying by 0 always results in 0.

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Study Notes

Multiplication of Whole Numbers

  • Multiplication is used in various areas like business, construction, and statistics.
  • Multiplication of one-digit multipliers and two-digit multipliers.

Two-Digit by One-Digit

  • Multiply ones first, then tens
  • Write results in the correct place value
  • Regroup as needed (carry-over)

Two-Digit by Two-Digit

  • Multiply the one-digit multiplier by each digit in the two-digit number
  • Write the results in the correct place value.
  • Regroup appropriately
  • Add all results to get the total.

Examples

  • Example multiplication problems are provided with step-by-step solutions.
  • The different steps involve multiplying the ones, then the tens, and then regrouping respectively.
  • Multiplication problems are solved using both vertical and horizontal methods.

Exercises

  • Several exercises are provided to practice the skills learned.
  • Example problems involve multiplication of two-digit and three-digit numbers by a one-digit or two-digit multiplier.

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