![]() This problem can be set up as \(\ 250.95 \div 5\) the quotient is 50.19. Then place the decimal point in the quotient directly over the decimal point in the dividend. Multiply both the divisor and the dividend by 10 (this will change 0.5 into a whole number), and then divide. Note that the decimal points do not have to be aligned as for addition and subtraction. To find out where to put the decimal point in a decimal multiplication problem, count the total number of decimal places in each of the factors.Ģ1.4 the first factor has one decimal placeģ.6 the second factor has one decimal placeħ7.04 the product will have 1+1=2 decimal places The difference lies in the placement of the decimal point in the final answers: \(\ 214 \cdot 36=7,704\), and \(\ 21.4 \cdot 3.6=77.04\). ![]() The multiplication does not change at all. Notice how the digits in the two solutions are exactly the same: 7, 7, 0, and 4. Let’s compare two multiplication problems that look similar: \(\ 214 \cdot 36\) and \(\ 21.4 \cdot 3.6\). When you multiply decimals, the decimal point is placed in the product so that the number of decimal places in the product is the sum of the decimal places in the factors. ![]() ![]() Multiplying decimals is the same as multiplying whole numbers except for the placement of the decimal point in the answer. ![]()
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