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Multiplication lesson

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Multiplication lesson

  1. 1. The terms of the multiplication are the factors and the product. Factor Product
  2. 2. Properties of the multiplication Associative property: When three or more numbers are multiplied, the product is the same regardless of the grouping of the factors. Conmutative property: When two numbers are multiplied together, the product is the same regardless of the order of the multiplicands.
  3. 3. Distributive property: The sum of two numbers times a third number is equal to the sum of each addend times the third number. Identity property: The product of any number and one is that number.
  4. 4. Multiples of a number The multiples of a number are all the products that we get when we multiply the number times each natural number. Example: The bus to Cali leaves the bus station every 3 hours. The first bus leaves at 6:00 am. Let´s find the multiples of 3 in order to know what are the hours in which the bus leaves the station.
  5. 5. M3: {0,3,6,9,…………..18,21,24} The bus leaves the bus station at: 6:00 am 9:00 am 12:00 pm 3:00 pm 6:00 pm 9:00 pm Multiples of 3: {0,3,6,9,12,15,18,21}
  6. 6. Multiplication by one digit In order to multiply a number by one digit factor we first multiply , the ones, then the tens, the hundreds and so on. Let´s multiply 403 x 2. First step 403 x 2 6 Second step Ones x 403 2 06 tens
  7. 7. Third step 403 x 2 1,094 Hundreds
  8. 8. Multiplication by two digits In order to multiply a 2 digit factor, we multiply the number by the ones, then by the tens and finally we add the products Let´s multiply 412 x 13. Step 1 : multiply the number in the ones place which is 3 by 412. Ones 1,236
  9. 9. Step 2: Because the place value of number 1 in the Tens is 10 you write a zero 0. Tens + 1, 236 4, 120 5,356 Step 3: Multiply 1 by 412 and write the product to the left of the 0. Step 4: Add the products and find the total.
  10. 10. Multiplication by 3 digits Let´s multiply 413 x 321. 413 8260 1 2 3, 9 0 0 1 3 2, 5 7 3
  11. 11. Multiplication by 10, 100 and 1,000 In order to multiply a number by 10, 100 and 1,000 in an abbreviated way you write the number followed by 1, 2 or 3 ceros respectively. Example 1: You write the number then you add one zero.
  12. 12. Example 2: To multiply by 100 you write the number and you add two zeros (0 0). Example 3: To multiply by 1,000 you write the number and you add three zeros (0 0 0).

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