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 Dependent Variable

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# Multiplying Whole Numbers

Multiplication, which simplifies addition, is the process of calculating the total of a number that is added together a specific number of times. For example, 3 Ã— 4 means adding 3 together 4 times, or 3 + 3 + 3 + 3 = 12. So 3 Ã— 4 = 12. The answer to a multiplication problem is called the product.

PROCEDURE: To find the product of two whole numbers, align your numbers so that the ones digits are in the same column. Multiply each digit of the top number by the ones digit in the bottom number, carrying when necessary. Then multiply each digit in the top number by the tens in the bottom number, regrouping when necessary. Finally, add the partial products to find the final product.

SAMPLE PROBLEM: Find the product of 34 and 16.

 Step 1: Align the numbers vertically. Multiply each digit in the top number by the ones digit in the bottom number. Carry when necessary. Step 2: Multiply each digit in the top number by the tens in the bottom number. Imagine adding a zero in the ones column as a place holder. Step 3: Add the partial products.

The product is 544.