To find the number that, when multiplied by 3, equals negative two, you can set up an equation:

3x = -2

Now, to solve for x, divide both sides by 3:

x = -2/3

So, the number you’re looking for is -2/3.

## 3 times what equals negative two?

To find the number that, when multiplied by 3, equals negative two, you can set up an equation:

3x = -2

Now, to solve for x, divide both sides by 3:

x = -2/3

So, 3 times (-2/3) equals negative two.

Now, let’s expand on this topic to create a 1000-word blog post about solving equations with negative numbers and fractions.

Solving equations is a fundamental skill in mathematics that allows us to find unknown values. While many equations involve positive numbers or whole numbers, it’s important to understand how to tackle equations that include negative numbers and fractions. In this blog post, we’ll explore how to solve equations with negative numbers and fractions, with a focus on the equation “3x = -2.” We’ll break down the process step by step and provide real-life examples to illustrate the concept.

## Understanding the Equation

The equation “3x = -2” may seem straightforward, but it introduces the idea of solving for a variable when negative numbers and fractions are involved. In this case, the variable x represents an unknown number. The equation tells us that when we multiply this unknown number by 3, the result should be -2. Let’s delve into how we can find the value of x in such equations.

To find the value of x in the equation “3x = -2,” we follow a simple series of steps. First, we isolate x on one side of the equation by dividing both sides by 3. This step is crucial because it allows us to determine the value of x.

3x = -2 x = -2/3

Now, we’ve found that x is equal to -2/3. This means that when we multiply -2/3 by 3, we get -2. It’s essential to understand that fractions and negative numbers can be valid solutions to equations, and they have real-world applications.

## Real-Life Examples

To illustrate the significance of solving equations with negative numbers and fractions, let’s consider a few real-life scenarios. Imagine you have a debt of $2, and you want to pay it off over three months. In this case, your monthly payment, represented by x, would be -2/3 of a dollar. This means you are paying back $2 in debt over three months, with a negative value indicating an outgoing payment.

Furthermore, solving equations with fractions and negative numbers is common in various scientific fields. For instance, in physics, equations involving time, distance, and velocity can result in solutions with negative values or fractions. Understanding these solutions is crucial for accurate scientific calculations.

## FAQs

**How do you write 2 times 3?** 2 times 3 is written as 2 x 3 or simply 6.

**What is 2 multiplied by 2?** 2 multiplied by 2 is equal to 4.

**What is six times seven?** Six times seven is equal to 42.

**What is 3 times 2 to the power of 2?** 3 times 2 to the power of 2 is 12. It’s calculated as 3 x (2^2) = 3 x 4 = 12.

**What is 3 times in math?** In mathematics, “3 times” means multiplying a number by 3. For example, 3 times 4 is equal to 12.

**What are the multiples of 2 and 3?** The multiples of 2 are 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, and so on. The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, and so on. The common multiples of 2 and 3 include numbers like 6, 12, 18, 24, and so on.

**What is a multiple of 2?** A multiple of 2 is any number that can be evenly divided by 2. For example, 4, 6, 8, and 10 are multiples of 2 because they can be divided by 2 without leaving a remainder.

**Is 2 plus 2 actually 4?** Yes, 2 plus 2 is indeed 4.

**What times 8 gives you 48?** The number that, when multiplied by 8, gives you 48 is 6. So, 8 times 6 equals 48.

**Is 6 times 9 54?** Yes, 6 times 9 is indeed 54.

**Is 7 times 9 63?** No, 7 times 9 is not 63. It is actually 63.

**How do you write the square root of 9?** The square root of 9 is written as √9, and it is equal to 3, because 3 multiplied by 3 equals 9.

**What is 2 raised to the power of 0?** Any number raised to the power of 0 is equal to 1. So, 2^0 is equal to 1.

**How to divide fractions?** To divide fractions, you can multiply the first fraction by the reciprocal (flipped version) of the second fraction. For example, to divide 1/2 by 1/3, you would multiply 1/2 by 3/1 (the reciprocal of 1/3), resulting in (1/2) * (3/1) = 3/2.

**How much is 3x in math?** In mathematics, “3x” represents an expression that means “3 times x.” It indicates that you should multiply the number x by 3.

**What is 3 times 2x in algebra?** In algebra, “3 times 2x” is written as 3 * 2x, and it simplifies to 6x.

**What is 3 times also known as?** In mathematics, “3 times” is also known as multiplication. You can say “3 times” or “multiply by 3” interchangeably.

**What multiples of 3 can be divided by 2?** The multiples of 3 that can be divided by 2 are those that are also multiples of both 3 and 2. These include numbers like 6, 12, 18, 24, and so on.

**What multiples equal 3?** The multiples of 3 include 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, and so on.

**What does 2 and 3 have in common?** 2 and 3 have the common factor of 1, as they are both prime numbers. They do not have any common factors other than 1.

**What are factors of 3?** The factors of 3 are 1 and 3, because these are the numbers that can be multiplied together to give the product 3.

**How do I multiply 2 negative numbers?** To multiply two negative numbers, simply multiply them as you would with positive numbers, and the result will be positive. For example, (-2) * (-3) = 6.

**What are factors of 2?** The factors of 2 are 1 and 2, because these are the numbers that can be multiplied together to give the product 2.

## Conclusion

Solving equations with negative numbers and fractions is an essential skill that finds applications in everyday life and various fields of science. The equation “3x = -2” demonstrates that solutions can involve fractions, and negative values do have meaning and practical significance. By following a systematic approach to isolate the variable, we can find solutions that accurately represent real-world scenarios. Embracing these mathematical concepts enhances our problem-solving abilities and helps us make informed decisions in diverse situations.

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