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Chapter 2: Problem 3

Perform the indicated operation. $$-100 \div(-4)$$

Short Answer

Expert verified
25

Step by step solution

01

Identify the operation

The given problem involves division: o This can be written as: o
02

Recognize the signs

Determine the signs of the numbers involved. Both -100 and -4 are negative:
03

Apply the division rule for signed numbers

When both numbers in a division problem are negative, the result will be positive. Therefore, o This simplifies to: o
04

Perform the division

Divide 100 by 4: o This gives: o

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Key Concepts

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

Signed Numbers
In mathematics, numbers can have a sign. They can either be positive or negative. Signed numbers include both positive (+) and negative (-) integers.
When you see a number without a sign, it is usually positive. For example, 5 is a positive number, whereas -5 is negative. Understanding how to work with signed numbers is essential, as they follow different rules depending on their operations like addition, subtraction, multiplication, and division.
When dealing with signed numbers in division, it鈥檚 important to follow the division rules carefully to get the correct result.
Negative Numbers
Negative numbers are numbers with a minus sign in front. For example, -100 and -4 are negative numbers.
They represent values below zero. Negative numbers are crucial in contexts like temperature readings below freezing, debts, and more.
It鈥檚 important to note that dividing or multiplying two negative numbers will result in a positive number. This concept is critical in prealgebra and beyond. Knowing how to correctly interpret and handle negative numbers helps avoid common mistakes in calculations.
Division Rules
Division is one of the basic arithmetic operations. When you divide numbers, you鈥檙e essentially determining how many times one number is contained within another.
When working with division involving signed numbers, remember:
  • If both numbers are positive or both are negative, the result is positive.
  • If one number is positive and the other is negative, the result is negative.
In our exercise, -100 divided by -4 follows these rules, resulting in a positive 25 because both numbers are negative.
These division rules make calculations simple and straightforward, ensuring accurate results for signed number division.

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Most popular questions from this chapter

Fill in the blank with \(<,>,\) or \(=\) $$-|22| \square 0$$

Fill in the blank with \(<,>,\) or \(=\) $$-|0| \square-|1|$$

a. What number must be multiplied by \(-5\) to obtain \(-35 ?\) b. What number must be multiplied by \(-5\) to obtain \(35 ?\)

Divide the real numbers, if possible. $$\frac{0}{-18}$$

Simplify. $$(-1)^{2}$$
See all solutions

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