Problem 66 Divide, if possible, and check. ... [FREE SOLUTION]

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Chapter 1: Problem 66

Divide, if possible, and check. If a quotient is undefined, state this. $$ -3.9 \div 1.3 $$

Short Answer

Expert verified

-3

Step by step solution

Understand the Operation

The problem requires dividing two numbers: ewline ewline ewline ewline

Set up the Division

We need to divide ewline ewline ewline ewline

Perform the Division

Divide ewline ewline ewline ewline

Simplify the Quotient

Simplify the quotient obtained by performing the division: ewline ewline ewline ewline

State the Result

The result of the division is: 1 ewline ewline ewline

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Key Concepts

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

Division Operation

Division is a fundamental arithmetic operation used to find how many times one number is contained within another. Here, we need to divide -3.9 by 1.3.
To start, we take -3.9 (the dividend) and 1.3 (the divisor).
Division can be thought of as splitting a quantity into equal parts or groups.
When dividing decimals, it's often helpful to make the divisor a whole number by multiplying both the dividend and the divisor by the same power of 10. In our example, we can multiply both -3.9 and 1.3 by 10, resulting in -39 and 13, respectively.
This transforms the division problem into -39 梅 13, making the arithmetic simpler.

Simplifying Quotients

Simplifying the quotient means reducing the result of the division to its simplest form.
After transforming -3.9 梅 1.3 into -39 梅 13, we perform the division.
\[\[\begin{align*} -39 \ 梅 \ 13 \ = \ -3 \ \text{(as 13 goes into 39 exactly 3 times, and because the dividend is negative, the quotient is also negative)} \ \ \text{This means the simplified quotient in this case is -3.} \ \ \text{Always double-check your result! In this case,}\ \text{-3.9 梅 1.3 should equal -3.} \ \text{You can verify the result by multiplying your quotient by the divisor to get the dividend back,} \ -3 脳 1.3 = -3.9. \ \text{This confirms our quotient is correct.} \end{align*}\]\]

Performing Arithmetic Operations

For division, as with other arithmetic operations, understanding the steps is crucial.
Here are some key points:

Align decimal points when performing operations.
Convert divisors to whole numbers, if possible.
Perform operations in a step-by-step manner to avoid errors.
Simplify the resulting quotient to ensure correctness.

Arithmetic operations like addition, subtraction, multiplication, and division follow specific rules and order:
- Parentheses
- Exponents
- Multiplication and Division
- Addition and Subtraction
By mastering these rules and performing steps carefully, you'll get accurate results in your calculations.

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91影视

Divide, if possible, and check. If a quotient is undefined, state this. $$ -3.9 \div 1.3 $$

Short Answer

Step by step solution

Understand the Operation

Set up the Division

Perform the Division

Simplify the Quotient

State the Result

Key Concepts

Division Operation

Simplifying Quotients

Performing Arithmetic Operations

One App. One Place for Learning.

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