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What Number, When Multiplied by 8, Equals 3?

What Number, When Multiplied by 8, Equals 3?

In mathematics, one common type of question involves finding a number that satisfies a certain condition. A typical example of this is: “What number, when multiplied by 8, equals 3?”

This problem requires us to determine the value of a number that, when multiplied by 8, results in 3. Mathematically, we express this as:

8×x=38 \times x = 3

Where xx is the unknown number. To solve for xx, we can rearrange the equation by dividing both sides by 8:

See also  To determine how many ounces are in half of 450 milliliters (ml), let's break it down: 1. Find half of 450 ml: 450 \div 2 = 225 \, \text{ml} 2. Convert milliliters to ounces: There are approximately 0.033814 ounces in 1 milliliter, so: 225 \times 0.033814 = 7.60815 \, \text{ounces} 3. Round to two decimal places: 7.60815 \approx 7.61 \, \text{ounces} So, half of 450 ml equals 7.61 ounces.

x=38x = \frac{3}{8}

When you perform the division, you get:

x=0.375x = 0.375

So, the number that, when multiplied by 8, equals 3 is 0.3750.375.

Understanding the Concept

This type of problem involves basic algebra, specifically solving for an unknown variable. It’s a great example of how division and multiplication are inverse operations. By dividing both sides of the equation by 8, we “undo” the multiplication and isolate the variable xx.

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Practical Applications

While this might seem like a simple math problem, understanding how to solve it is essential for more complex mathematical concepts, including algebra, proportions, and even real-world scenarios where quantities are scaled or adjusted.

Whether you’re working with recipes, measurements, or even financial calculations, being able to determine how a number relates to another through multiplication or division is an important skill.

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