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Today we will discuss about the topic: Multiply 2-4 digit by 1 digit

Good Afternoon!. Today we will discuss about the topic: Multiply 2-4 digit by 1 digit. Let’s Warm up:. 1) 3 x 4 =. 2) 12 x 3 =. 3) 5 x 5 =. 4) 6 x 6 =. 5) Find out the value of 2x2 with the help of the model given below?. REVIEW. Let’s discuss what we did in the last session.

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Today we will discuss about the topic: Multiply 2-4 digit by 1 digit

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  1. Good Afternoon! Today we will discuss about the topic: Multiply 2-4 digit by 1 digit Let’s Warm up:. 1) 3 x 4 = 2) 12 x 3 = 3) 5 x 5 = 4) 6 x 6 = 5) Find out the value of 2x2 with the help of the model given below? CONFIDENTIAL

  2. REVIEW Let’s discuss what we did in the last session. We learnt about the following terms: • Multiple: It is the product of a number and any whole number. • Even numbers: Whole numbers that are divisible by 2 are even numbers. • Odd numbers: Whole numbers that are not divisible by 2 are odd numbers. • Prime numbers: Numbers whose factors are only 1 and the number itself are prime numbers. • Composite numbers: All the non-prime numbers except 0 and 1, are Composite Numbers. CONFIDENTIAL

  3. REVIEW We can multiply by the means of Skip Counting also. By Skip Counting we mean that we can find the multiples of any number by hopping equal steps on the number line. • Here the numbers are taking 3 jumps each of 2 steps. 2 2 2 0 1 2 3 4 5 6 CONFIDENTIAL

  4. REVIEW There are other strategies that can be used for multiplication. Find 7 x 3. Use a Known Fact 7 groups of 3 = 7 groups of 2 plus 7 7 x 3 = 7 x 2 + 7 = 14 + 7 = 21 Find 8 x 6. Double a Known Fact 8 groups of 6 = 4 groups of 6 + 4 groups of 6 8 x 6 = (4 x 6 ) + (4 x 6) = 24 + 24 = 48 CONFIDENTIAL

  5. We looked into the Multiplication Table and its patterns : In the table, the pattern of the square numbers are shown within the yellow squares. CONFIDENTIAL

  6. Today we will learn to Multiply 2-4 digit by 1 digit Multiplication is an operation on two numbers to find a product. Like 3 x 4 = 12. ASSOCIATIVE PROPERTY: While multiplying, we can change the grouping of the factors and the product stays the same. EXAMPLE: 2 x (3 x 4) = (2 x 3) x 4 2 x (3 x 4) = 2 x 12 = 24 (2 x 3) x 4 = 6 x 4 =24 CONFIDENTIAL

  7. Uses of the ASSOCIATIVE PROPERTY: Find: 2 x 6 x 4 Here, Associative Property of Multiplication can be used to multiply the three factors. We will see that the grouping of the numbers does not affects the answer. STEP 1: Use parentheses to show the grouping. 2 x 6 x 4 = (2 x 6) x 4 CONFIDENTIAL

  8. STEP 2: Look for a known fact to multiply. 2 x 4 is a known fact. STEP 3: Use the Commutative Property to change the order, if necessary. (2 x 6) x 4 = 2 x (6 x 4) = 2 x 24 = 48 Therefore, the product of 2 x 6 x 4 is 48. CONFIDENTIAL

  9. You can use pattern of factors and products to multiply mentally. 3 x 2 = 6 3 x 20 = 60 3 x 200 = 600 3 x 2,000 = 6,000 Multiply: 4 x 3 x 7 CONFIDENTIAL

  10. Find: 236 x 6 We multiply numbers by first lining up the digits in the following manner: Regroup 36 as 3 tens and 6 ones. 3 236 X 6 STEP 1: 6 First multiply 6 with 6 to obtain 36. CONFIDENTIAL

  11. STEP 2: Again, multiply 6 with 3 at the tens place to obtain 18. Then, add 3 and 18 to obtain 21. Regroup 21 as 2 hundreds and 1 tens. 23 236 X 6 16 CONFIDENTIAL

  12. STEP 3: Then, multiply 6 with 2 at the hundreds place to obtain 12. Then, 2 and 12 to obtain 14. Hence, the result. 23 236 X 6 1416 Multiply: 564 x 3 CONFIDENTIAL

  13. Estimating Products: • By Estimate, we mean an answer that is close to the exact answer. Estimate 6 x 44. While estimating products, we round the greater factor. 6 x 44. Round to the nearest tens. 6 x 40 =240 Hence, the estimated value of 6 x 44 is 240. CONFIDENTIAL

  14. There are two terms related to Estimation. • Overestimate: It is an estimate greater than the exact answer. Round 36. Example: Estimate: 5 x 36 5 x 40 = 200 5 x 36 = 180 200 > 180 • Underestimate: It is an estimate less than the exact answer. Round 33. Example: Estimate: 5 x 33 5 x 30 = 150 5 x 33 = 165 150 < 165 CONFIDENTIAL

  15. We can do multiplication by other methods also. Multiply: 5 x 3,839 Here we use the Distributive Property to multiply 5 x 3,839 Split 3,839 into 4 parts: 3,000 + 800 + 30 + 9 Here, we see that the greater factor is converted to the Expanded Form. CONFIDENTIAL

  16. Then multiply each part by 5: 5 x 3,000 =15,000 5 x 800 = 4,000 5 x 30 = 150 5 x 9 = 45 Then finally add each part: 15,000 + 4,000 + 150 + 45 = 19,195 Hence, 5 x 3,839 = 19,195. CONFIDENTIAL

  17. BREAK CONFIDENTIAL

  18. GAME Click on the link below for some exciting puzzle http://www.thekidzpage.com/onlinejigsawpuzzles/jigsaw-puzzles/12-piece-jigsaw/050205food.html CONFIDENTIAL

  19. Assignments Using the Associative Property of Multiplication, find the products of the following. 1) (3 x 5) x 7 = 2) (8 x 2) x 6 = 3) (4 x 7) x 4 = 4) (6 x 5) x 2 = CONFIDENTIAL

  20. Find the product: 5) 6) 573 924 X 3 X 7 CONFIDENTIAL

  21. Estimate the products of the given problems: 7) 6 x 44 8) 7 x 48 CONFIDENTIAL

  22. Multiply using the Distributive Property : 9) 6 x 694 10) 2 x 7,295 CONFIDENTIAL

  23. Very Good! Let's Review Multiplication is an operation on two numbers to find a product. Like 3 x 4 = 12. ASSOCIATIVE PROPERTY: While multiplying, we can change the grouping of the factors and the product stays the same. EXAMPLE: 2 x (3 x 4) = (2 x 3) x 4 You can use pattern of factors and products to multiply mentally. 3 x 2 = 6 3 x 20 = 60 3 x 200 = 600 3 x 2,000 = 6,000 CONFIDENTIAL

  24. We multiply numbers by first lining up the digits. STEP 1: First multiply 6 with 6 to obtain 36. Regroup 36 as 3 tens and 6 ones. 3 236 X 6 6 STEP 2: Again, multiply 6 with 3 at the tens place to obtain 18. Then, add 3 and 18 to obtain 21. Regroup 21 as 2 hundreds and 1 tens. 23 236 X 6 16 CONFIDENTIAL

  25. STEP 3: Then, multiply 6 with 2 at the hundreds place to obtain 12. Then, 2 and 12 to obtain 14. Hence, the result. 23 236 X 6 1416 • By Estimate, we mean an answer that is close to the exact answer. Estimate 6 x 44. While estimating products, we round the greater factor. Round to the nearest tens. 6 x 44. 6 x 40 =240 CONFIDENTIAL

  26. Overestimate: It is estimate greater than the exact answer. • Underestimate: It is estimate less than the exact answer. We also use the Distributive Property to multiply. Multiply: 5 x 3,839 Split 3,839 into 4 parts: 3,000 + 800 + 30 + 9 Then multiply each part by 5: 5 x 3,000 =15,000 5 x 800 = 4,000 5 x 30 = 150 5 x 9 = 45 Then finally add each part: 15,000 + 4,000 + 150 + 45 = 19,195 CONFIDENTIAL

  27. You have done a nice job. See you in the next session. CONFIDENTIAL

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