Problem 276 Divide. $$ -84 \div(-6) $$... [FREE SOLUTION]

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Chapter 1: Problem 276

Divide. $$ -84 \div(-6) $$

Short Answer

Expert verified

-84 \div (-6) = 14

Step by step solution

Identify the numbers

The numbers involved in the division are -84 and -6.

Understand the signs

When dividing two numbers with the same sign, the result is positive. Here, both numbers are negative.

Perform the division

Ignore the signs and divide the absolute values: \- $ 84 \div 6 = 14 $. Since both numbers were negative, the final result is positive.

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Key Concepts

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

Integer Division

In algebra, the concept of integer division is straightforward. When you divide one integer by another, you find how many times the divisor can be subtracted from the dividend without going negative.
Simply put, it鈥檚 like breaking down a number into equal parts.
For example, in our exercise, we're dividing -84 by -6. Here, both -84 and -6 are integers.
Understanding how to divide integers is crucial to solving algebra problems efficiently.

Identify the dividend (the number being divided)
Identify the divisor (the number you're dividing by)
Perform the division operation to find the quotient

By following these steps, you can break down complex problems into manageable parts.

Negative Numbers

Negative numbers are numbers below zero.
They have a 'negative' or 'minus' sign in front of them. In our exercise, both numbers we are dividing are negative: -84 and -6.
When dealing with negative numbers, one key rule stands out:

When you divide two numbers with the same sign (both positive or both negative), the result is positive.

Here, since both -84 and -6 are negative, the result is positive after division. Understanding this rule helps avoid common mistakes when working with negative numbers.

Absolute Value

The absolute value of a number is its distance from zero on the number line, ignoring the sign.
It's like asking, 'How far is this number from zero?' without worrying about direction.
We use absolute values to simplify the process when working with negative numbers.

For our problem, the absolute values are 84 and 6.
Ignore the negative signs and perform the division: 84 divided by 6 equals 14.
Since the signs of the original numbers are the same (both negative), our result is positive.

So, the absolute value helps simplify calculations and make them easier to handle.

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91影视

Divide. $$ -84 \div(-6) $$

Short Answer

Step by step solution

Identify the numbers

Understand the signs

Perform the division

Key Concepts

Integer Division

Negative Numbers

Absolute Value

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