To find 30 percent of 100, you can use a simple formula. The term ‘percent’ means ‘per hundred,’ so to convert 30 percent into a decimal, you divide 30 by 100. This gives you 0.30. Next, to find out what 30 percent of 100 is, you multiply the decimal result by 100: 0.30 × 100 … Read more
To find the derivative of the function f(x) = 1/x, we can use the rules of differentiation applied to polynomial and rational functions. Let’s begin by rewriting the function in a more manageable form. We know that: f(x) = 1/x can be rewritten as f(x) = x-1. Now, we can use the power rule, which … Read more
The number 710 is already represented in decimal form. In the decimal numbering system, each digit has a place value that is a power of 10. The number 710 consists of three digits: 7, 1, and 0. Here’s a breakdown of how it works: The digit ‘7’ is in the hundreds place, which means it … Read more
To express the number 75 as a fraction in its simplest form, we start by recognizing that any whole number can be represented as a fraction by placing it over 1. Therefore, the fraction representation of 75 is: 75/1 Now, let’s think about whether this fraction can be simplified. The numerator is 75 and the … Read more
When you divide 30 by 40, you’re essentially trying to find out how many times 40 fits into 30. Since 30 is smaller than 40, the result will be less than 1. Let’s break it down: 1. **Performing the Division:** To divide 30 by 40, you can express it as: 30 ÷ 40 2. **Converting … Read more
The term ‘equivalent’ usually refers to values that are equal in amount or significance. In mathematics, asking for an equivalent value of 25 can pertain to various contexts, such as converting it to other units, expressing it through fractions, or identifying it in different numeral systems. For instance, in the world of numbers: Fractions: The … Read more
To convert the decimal 0.25 into a fraction, follow these straightforward steps: Understand the decimal: The number 0.25 can be read as ‘twenty-five hundredths’ because it has two decimal places. This indicates that it is 25 parts out of 100. Write the fraction: Based on this understanding, we can initially express 0.25 as a fraction: … Read more
Raising a number to a power means multiplying that number by itself a certain number of times. In the case of 3 to the 2nd power (written as 32), we are multiplying the number 3 by itself. To break it down: 3 to the 2nd Power: This means we perform the calculation 3 × 3. … Read more
The value of 10 raised to the power of negative 2 can be calculated using the concept of negative exponents. A negative exponent indicates that the base (in this case, 10) is on the bottom of a fraction. Specifically, 10 to the power of negative 2 is equivalent to: 10-2 = 1 / 102 Now, … Read more
A kilometer is a unit of length in the metric system, equivalent to 1,000 meters. To understand how many centimeters make up a kilometer, we need to know the conversion between meters and centimeters. In the metric system, 1 meter equals 100 centimeters. Therefore, to convert kilometers to centimeters, we can follow these steps: Start … Read more