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Multiplying Multiple Digit Numbers

Multiplying Multiple Digit Numbers. Sixth Grade Remedial Math Ms. Adams. Welcome.

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Multiplying Multiple Digit Numbers

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  1. MultiplyingMultipleDigit Numbers Sixth Grade Remedial Math Ms. Adams

  2. Welcome Welcome to sixth grade math. Today you will learn how to multiply multiple digit numbers. I am your tutorial guide Miss Adams. I currently teach sixth grade math at Jane Macon Middle School. I hope that you will learn a lot today so that you can successfully master the objectives presented in this lesson. Please take note of the guide tabs on each page. This will help you navigate through the tutorial. Please feel free to go back and review any of the pages. Good luck with successfully completing this tutorial.

  3. Instructional Goals • Identify place value in multiple digit numbers. • Represent multiplication with single digit numbers by modeling repeated • addition. • 3. Multiply a two digit number by a multiple of 10. • 4. Multiply a multiple digit number by a multiple digit number.

  4. Table of Contents 1 Vocabulary 2 Lesson 1 3 Lesson 2 4 Lesson 3 5 Lesson 4

  5. Multiplication -Repeated addition of the same number Example: V O C A B U L A R Y Multiple -The product of the number and any other whole number Example: Multiples of 2 _ 2, 4, 6, 8, 10, 12, 14… Product -the answer to a multiplication problem Example: Factor -a number that will divide into another number without a remainder Example: Factors of 20 _ 1, 2, 4, 5, 10, 20 Place Value -the value of a digit as determined by its position in a number; the name of the place or location of a digit in a number Example:

  6. P L A C E V A L UE Place value is the position of a digit within a number. How do we represent the number 342? By using 3 hundred blocks, 4 rows of ten blocks, and 2 single blocks. Use the fewest number of blocks to represent the number.

  7. Another way to visualize place value is by making a chart. PlaceValue Remember: The value of whole numbers increase from right to left. For example, the ten place value is greater than the ones place value. The hundreds place value is greater than the tens and ones place value. Tens Hundreds Ones • In order to make the number 342, you need: • Three100’s 100 + 100 + 100 = 300 • Four10’s 10 + 10 + 10 + 10 = 40 • Two1’s 1 + 1 = 2 • Therefore… • 300 + 40 + 2 = 342

  8. Check out the table below. P L A CE U L A V

  9. Let’s Practice Problem 1: Identify the digit in the tens place value. 941 *Think about how many sets of ten are needed to display this number. The answer is ….4 Problem 2: Identify the digit in the hundreds place value. 1,043 *How many hundreds are needed to make the number? Answer : 0

  10. NOW IT’S YOUR TURN In 265, which digit is in the ones place? 5 2. In 397, which digit is in the tens place? 9 3. In 627, which digit is in the tens place? 2 4. In 901, which digit is in the hundreds place? 9 5. In 270, which digit is in the hundreds place? 2

  11. How do I multiply? Multiplication is repeated addition that is symbolized by the operation symbol “x”. Multiplication means to have groups of the same size. 3 x 4 3 4 4 3 3 x 4 = 3 + 3 + 3 + 3 = 12 Number of groups Number in each group Number of groups Number in each group

  12. Single Digit Multiplication Write an addition sentence for the picture. ___ groups, ____ scissors in each group ____ +____ + ____ = ____ 3 x 2 = 6 Write an addition sentence for the picture. ___ groups, ____ gummy bears in each group ___ +___ + ___ + ___ + ___ =____ 5 x 8 = 40 5 8 2 3 8 8 8 8 40 8 6 2 2 2

  13. S I N G LE D I G I T Multiplication Draw 3 groups of seven sticks. 7 + 7 + 7 = 21 Draw 2 groups of six balls. 7 x 3 = 21 6 + 6 = 12 6 x 2 = 12

  14. MULTIPLY ON YOUR OWN 32 8 x 4 = ____ 7 x 4= ____ 28 5 x 5 = ___ 25 4 x 4 = ___ 16

  15. Multiplying By Two Digit Numbers You will learn how to multiply a single digit number by a number that ends in zero. Let’s take a look at the problem below. 20 x 2 Using repeated addition: 20 + 20 = 40 Remember: 2 groups of 20 To solve this problem by multiplying first, write the problem vertically as such _ 20 x 2 Be sure to put the larger or longer number on top.

  16. Multiplying By Two Digit Numbers First, multiply the digits in the ones place value. 2 0 x 2 0 Last, the product is 40. 20 x 2 40 Second, multiply the single digit by the digit in the tens place value. 2 0 x 2 4 0

  17. Multiplying By Two-Digit Numbers Here’s another example. 43 x 10 First, set the problem up vertically. 43 x 10 Second, multiply 43 by 0. 43 43 x 0 x 0 000 Next, multiply 43 by the one in the tens place value. 43 x 10 00 430 Put a zero to hold the ones place value before multiplying the number in the tens place value.

  18. Multiplying By Two-Digit Numbers 43 x 10 00 430 The last step is to add to get the product. 43 x 10 00 + 430 430 Ten sets of 43 is 430. 43 + 43 + 43 + 43 + 43 + 43 + 43 + 43 + 43 + 43 = 430 Be sure to line up the place values after multiplying.

  19. Practice Try these on your own. Multiply. 1. 59 x 10 00 + 590 590 The product is 590. 70 x 30 00 + 2100 2100 The product is 2,100. 90 x 2 180 The product is 180.

  20. Let’s multiply. 612 x 24 When multiplying multiple digit numbers by each other, set the problem up vertically. 612 x 24 Multiply 612 and four. 612 x 4 2448 Multiply 612 and 20. 612 x 20 000 +12240 12240 612 x 24 = 14,688 Add the products together. 12240 + 2448 14688 Multiplying Multiple Digit Numbers

  21. Multiplying Multiple Digit Numbers Let’s’ try this problem together. 423 x 211 First, multiply 423 by the one in the ones place value. 423 x 211 423 Next, multiply 423 by the one in the tens place value. (We’re basically multiplying 423 and 10). 423 x 211 423 4230 Then, multiply 423 by the two in the hundreds place value. 423 x 211 423 4230 Add 423 x 211 = 84,600 84600 423 4230 + 84600 89253

  22. Multiplying Multiple Digit Numbers Let’s work through this problem together. 8,346 x 52 16692 +417300 433992 Try this problem on your own. 168 x 95 840 + 15120 15960 3 6 7 1 2 1 4 3 Multiply 8,346 and 2. 6 x 2 = 12 Carry the digit in the tens place value above the four. Add 1 to the product of 4 and 5. Multiply 8,346 and 50. Add

  23. NOW MULTIPLY ON YOUR OWN 1. 320 x 123 960 6400 +32000 39360 3. 2. 38 x 24 152 + 380 532 226 x 115 1130 2260 + 22600 25990

  24. Let’s Review Place value is the position of a digit within a number. Think about how many ones, tens, hundreds, or thousands are needed to create a number. ThousandsHundredsTensOnes Problem Find the digit in the ones place value. 688 Answer: 8

  25. Let’s Review Multiplication is repeated addition where there are groups of the same size. 9 x 9 There are 9 groups with 9 in each group. Solve by adding. 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 + 9 = 81 9 x 9 = 81

  26. Let’s Review When multiplying by more than one digit, place value is important. Start by multiplying by the digit in the ones place. Carry the digits, if needed, and continue multiplying by the digit in the tens place value. Don’t forget to put a zero to hold the ones place value before multiplying by the tens place value. Add the numbers together. Be sure to line up the numbers in columns. 13 x 13 39 +130 169

  27. In conclusion… • Take your time. • Ask yourself questions to help you along the way. • Multiplication is repeated addition. • Remember to carry over, if necessary, when multiplying. • Thank you for your time. Happy Multiplying!

  28. Resources • http://www.aaamath.com/B/g6_31ax1.htm#section2 • http://www.mathsisfun.com/numbers/multiplication-long.html • http://www.homeschoolmath.net/teaching/md/multiplication-repeated-addition.php • http://mathatube.com/tables-charts-placevalue-chartshtml.html • http://www.helpingwithmath.com/by_subject/multiplication/mul_by_10_3nbt3.htm

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