Problem 277 Divide. $$ -180 \div 15 $$... [FREE SOLUTION]

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Chapter 1: Problem 277

Divide. $$ -180 \div 15 $$

Short Answer

Expert verified

-12

Step by step solution

- Understand the Problem

You need to divide $-180$ by $15$.

- Set Up the Division

Write the expression as $-180 \div 15$.

- Perform the Division

Divide $180$ by $15$ first. $\frac{180}{15} = 12$. Add the negative sign back to get $-12$.

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Key Concepts

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

Integer Division

Integer division is the process of dividing two integer numbers. When we talk about integers, we mean whole numbers that can be positive, negative, or zero. In the given problem, we need to divide $-180$ by $15$. Here鈥檚 a quick rundown of what to do:

Identify the dividend (the number to be divided), which is $-180$ in this problem.
Identify the divisor (the number you are dividing by), which is $15$ here.
Divide the absolute values of the numbers $180 \div 15 = 12$.
Determine the sign of the result. Since a negative number divided by a positive number gives a negative result, the answer will be $-12$.

Always keep in mind that dividing integers may result in both positive and negative results, depending on the signs of the numbers involved.

Negative Numbers

A negative number is any number that is less than zero. In the problem, $-180$ is a negative number. Understanding how to work with negative numbers is crucial for solving division problems like this.

To divide negative numbers:

First, ignore the sign and perform the division as if both numbers were positive. In this case, divide $180$ by $15$ to get $12$.
Next, determine the final sign of the answer. Remember two key rules:
- A negative number divided by a positive number yields a negative result.
- A negative number divided by a negative number yields a positive result.

For our problem, since we are dividing a negative number $-180$ by a positive number $15$, the result will be negative. Therefore, $\frac{-180}{15} = -12$.

Basic Arithmetic

Basic arithmetic involves the four fundamental operations of addition, subtraction, multiplication, and division. Let鈥檚 focus on division, which is taking one number and determining how many times it fits into another.

Division can be expressed using different notations: \/, 梅, or a fraction bar. In our exercise, we use 梅.
To divide $-180$ by $15$, you can set it up in a division format: $ -180 \div 15 $.
Calculate the division of absolute values: $\frac{180}{15} = 12$.
Adjust the sign based on the rules for negative numbers, resulting in $-12$.

Mastering basic arithmetic principles can simplify more complex problems and ensure a deeper understanding of math.

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91影视

Divide. $$ -180 \div 15 $$

Short Answer

Step by step solution

- Understand the Problem

- Set Up the Division

- Perform the Division

Key Concepts

Integer Division

Negative Numbers

Basic Arithmetic

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