Problem 3 Divide, if possible. Check each ... [FREE SOLUTION]

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Basic College Mathematics

Marvin L. Bittinger, Judith A. Beecher, Barbara L. Johnson

$Math Studyset 91影视 Explanations$ Math

13 Edition

Chapter 10: Problem 3

Divide, if possible. Check each answer. $$ \frac{26}{-2} $$

Short Answer

Expert verified

The result of dividing 26 by -2 is -13.

Step by step solution

- Identify the Dividend and Divisor

The dividend is the number being divided, and the divisor is the number by which we are dividing. Here, the dividend is 26, and the divisor is -2.

- Perform the Division

Divide the dividend (26) by the divisor (-2). The division operation can be performed directly: For example, 26 divided by -2 is: 26 梅 -2 = -13.

- Verify the Answer

To verify the answer, multiply the quotient (-13) by the divisor (-2), and check if the result equals the dividend (26). Here: -13 脳 -2 = 26. Since the result matches the original dividend, our answer is verified.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

dividend and divisor

In any division problem, it's important to identify the two main components: the dividend and the divisor. The dividend is the number you want to divide up. For the example $ \frac{26}{-2} $, the dividend is 26. The divisor, on the other hand, is the number you are dividing by. In our example, the divisor is -2. Understanding these terms is essential because they determine how the division will be performed. Knowing the roles of the dividend and divisor makes it easier to follow through with the next steps.

performing division

Once you have identified the dividend and the divisor, you can perform the division. This step involves dividing the dividend by the divisor. Let's take our example again: $ \frac{26}{-2} $. Here, you would divide 26 by -2. This can be done through simple arithmetic or with the help of a calculator:
$ 26 梅 -2 = -13 $.
Notice that dividing a positive number by a negative number results in a negative quotient. Always keep track of the signs (+ or -) in division, as they play a critical role in determining the outcome.

verifying division

Verification ensures that the division operation was performed correctly. To verify, multiply the quotient by the divisor and check if you get back the original dividend. For our example, the quotient is -13 and the divisor is -2. Multiply these together:
$ -13 \times -2 = 26 $.
Since the result equals the original dividend (26), the answer is verified. Verifying your division results like this helps catch any mistakes and ensures your answer is accurate.

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91影视

Divide, if possible. Check each answer. $$ \frac{26}{-2} $$

Short Answer

Step by step solution

- Identify the Dividend and Divisor

- Perform the Division

- Verify the Answer

Key Concepts

dividend and divisor

performing division

verifying division

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