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Multiplication

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Study Guide Multiplication Mathematics, Grade 5

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THREE DIGIT MULTIPLICATION Multiplying three-digit numbers by one digit numbers: 245 x 3 = ? Step #1: Place one number above the other so that the ones' place digits are lined up. Draw a line under the bottom number. 245 x 3 Step #2: Multiply the two numbers in the ones' place (3 x 5 = 15). This answer is larger than 9,so place the 1 above the tens' place column and place the 5 below the line in the ones' place column. 1 245 x 3 5 Step #3: Next, multiply 3 and the number in the tens' place column (4). 3 x 4 = 12. Add the 1 you carried to the tens column to the 12 (12 + 1 = 13). Place the 1 above the hundreds’ place column and place the 3 below the line in the tens’ place column. 1 + 1 245 x 3 35 Step #4 (Final Step): Now, multiply the 3 and the number in the hundred' place column (2). 3 x 2 = 6. Add the 1 you carried to the hundreds column to the 6 (6 + 1 = 7) and place the answer below the line in the hundreds place column. + 1 1 245 x 3 735 © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
Multiplying three-digit numbers by two digit numbers: 245 x 13 = ? In order to multiply these two numbers you would first follow the 4 steps listed above: Step #1 245 x 13 Step #2 1 245 x 13 5 Step #3 1 + 1 245 x 13 35 Step #4 + 1 1 245 x 13 735 Now there are a few more steps to complete in order to get the answer: Step #5 245 Multiply the 1 in the tens place of the number 13 by the x 13 number 5 in 245. 1 x 5 = 5. Place the 5 under the 3 735 (under the line in the tens column) 5 Step #6 245 Multiply the 1 in the tens place of the number 13 by the x 13 number 4 in 245. 1 x 4 = 4. Place the 4 under the 7 (under the line in the hundreds column) 735 45 © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.
Step #7 245 Multiply the 1 in the tens place of the number 13 by the x 13 number 2 in 245. 1 x 2 = 2. (Place the 2 under the line 735 in the thousands column) 245 Step #8 245 x 13 735 Add 735 and 245 together the way they are lined up. 245 3,185 245 x 13 = 3,185 © Copyright NewPath Learning. All Rights Reserved. Permission is granted for the purchaser to print copies for non-commercial educational purposes only. Visit us at www.NewPathLearning.com.