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MULTIPLICATION What is multiplication? Multiplication is a mathematical operation is which numbers, called factors, are multiplied together to get a result, called a product. Multiplication can be used with numbers or decimals of any size. How to use multiplication: • When multiplying two numbers, it is best to stack the numbers vertically with the number that has more digits on top. The number with fewer digits should be placed under the first number, being sure to line up the place values. Example: 34 x 7 → 34 x 7 • To multiply, start with the number on the bottom in the ones place and multiply that number by the number in the ones place of the top number. Write the ones place of the answer on the ones place in the answer row. The tens place value of the answer will be carried over and added to the answer when the tens digit is multiplied. Next, multiply the ones digit on the bottom by the tens digit of the top number. Again, bring down the ones place of your answer and carry the tens place value. Keep doing this until all the multiplication is done and then bring down the tens value of the number also. Examples: ² 34 34 x 7 x 7 8 238 © 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.

• If the numbers to be multiplied have more than one digit, the same rule applies. The only difference is that under the answer for the ones digit, a zero should be placed then the tens digit can be multiplied. If there is a hundreds digit, two zeros should be added under the answer for the tens digit, then multiply. Once the multiplication is done, add the numbers. Examples: 456 321 x 21 x123 456 963 + 9120 ← add zero 6420 ← add zero 9576 + 32100 ← add zeros 39483 • When multiplying with decimals, multiply the same way as without decimals. When the answer is complete, the decimal point must be properly placed. To do this, count the number of digits to the right of the decimal point in each number that is being multiplied. Add that number and that is the number of digits that the decimal point must be moved from the right to get the answer. Example: 4.56 ← two digits x 0.1 ← one digit .456 ← move 3 digits over Try this! 24 652 378 x 3 x 14 x 92 9.8 .57 x .5 x 2.3 © 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.