Division 17 problem

For multiplication and division problems, round off the answer to the same number of significant figures in the measurement with the fewest significant figures. 

To divide with decimal numbers, first change the problem to division by a whole number. It may be necessary to move the decimal point in the divisor (the number you are dividing by) to make it a whole number. Move the decimal in the dividend (the number you are dividing into) the same number of places, and copy the new decimal place holder straight up into the quotient (the answer to the division problem). Once the decimal point is placed, divide as you normally would with long division. 

The metric measurement system is extremely easy to use, because all the units and equivalents are powers of 10. A kilogram is 1,000 times as big as a gram, and a centimeter is 0.01 as big as a meter. The multiplication and division problems using metric measures are really a piece of cake. When you learn what the different prefixes stand for, you can navigate your way through the metric measurement system. 

Division is usually the last of the four basic operations that kids study in school. Why Because many of the results are not whole numbers. When you add, subtract, or multiply whole numbers together, you always get a whole number as a result (or an integer — in the case of subtracting a larger number from a smaller number). Not so with division. Not every division problem comes out evenly, and dealing with a remainder can be a bit unsettling or even daunting. 

Just as multiplication is used instead of repeated addition, you can say that division is used instead of repeated subtraction. For example, if Keisha wants to hand out 4 pieces of candy to each of her friends and she has 38 pieces of candy, she can give 4 pieces to the first friend and 4 pieces to the second friend and so on until 9 friends have 4 pieces of candy each — and Keisha has 2 left over. Of course, you would do the division problem 38 + 4 = 9 with a remainder of 2. The remainder can also be written as a fraction 04, which can be simplified to Vr,. 

When a division problem doesn t come out even — when the number you re dividing into isn t a multiple of the number you re dividing by — you have several options ... 

Rounding the answer of a division problem to a whole number results in a new answer that s an approximation of the real, exact answer. Rounding answers is practical and makes sense in many situations. 

As you can see, the remainder will now forever be 8, and the corresponding number in the quotient (answer of a division problem) will be 6. The three dots following the last 6 shown indicates that the 6 keeps repeating forever and ever. 

You use division in problems when you want to break some total amount of stuff into equal shares. After setting up the division problem, though, the best course of action for solving the equation is usually to get rid of the division operation. Do this by multiplying each term in the equation by some common denominator then solve the simpler equation that s been created. 

When the division problem has a mixed number, convert it to an improper fraction and then divide as usual. Example 2j j... 

Since a fraction means top number divided by bottom number, rewrite the fraction as a division problem 16j 100... 

Now that we ve reviewed the names of the parts of a division problem, let s divide some fractions ... 

In this example, is the dividend and is the divisor. The first step in solving a fraction division problem is to find the reciprocal of the divisor. Switch the numerator and denominator of the fraction y its reciprocal is 5. Next, switch the division symbol to a multiplication symbol becomes X- —these two math problems... 

This problem can be solved two ways—in fact, all fraction division problems can be solved two ways. The easiest method is the one we just saw—take the reciprocal of the divisor, and multiply. However, if you already have common denominators, you can simply divide... 

BEFORE YOU CAN cancel or divide the numerators and denominators of the fractions in a division problem, you must first take the reciprocal of the divisor and switch the division symbol to a multipli-... 

BECAUSE MIXED NUMBERS must be converted to improper fractions before dividing, it would be easy to forget to take the reciprocal of the second fraction (the divisor) before dividing. Don t let that happen to you Start a division problem with mixed numbers by converting the divisor to an improper fraction FIRST-and then find its reciprocal right away. Then, convert the first fraction (the dividend) to an improper fraction. Now you re ready to multiply. 

Begin by replacing the fraction bar with the division symbol — -r Just like that, the complex fraction is a division problem that, by now, we ve seen many times - -r-y = x- = =... 

Because a complex fraction is just a division problem, we can turn division problems into complex fractions. Just as the division problem 6 divided... 

So far, we ve read fractions as division problems. But fractions can also represent ratios. 

IN A DIVISION problem, the number being divided is called the dividend. The number by which the dividend is divided is called the divisor. The result of the division is called the quotient. In the problem 12-5-3 = 4, 12is the dividend, 3 is the divisor, and 4 is the quotient. 

Some division problems could go on forever. Quotients like that can be non-terminating decimals or they can be repeating decimals. We ll learn more about those in Chapter 11. For now, we ll round our decimals to four places. Still remember how to round decimals ... 

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