When we talk about raising the mathematical constant e (approximately 2.71828) to the power of infinity, we are essentially exploring the behavior of the exponential function as the exponent approaches infinity. The expression can be represented as \(e^{\infty}\), and it is essential to understand what this notation signifies. In mathematical terms, when we take e … Read more
An acre is a unit of area commonly used in the United States and other countries to measure large plots of land. One acre is defined as exactly 43,560 square feet. To give you a clearer picture, you can visualize an acre as a rectangle measuring 66 feet wide by 660 feet long or as … Read more
To express the division of 7 by 3 as a fraction, you simply put 7 as the numerator (the top part of the fraction) and 3 as the denominator (the bottom part of the fraction). This results in the fraction 7/3. Furthermore, this fraction is improper because the numerator (7) is larger than the denominator … Read more
To express 2 divided by 7 as a fraction, you start by understanding that dividing by a number is equivalent to forming a fraction. In mathematical terms, when you divide 2 by 7, you can represent this operation as: Fraction Form: = \( \frac{2}{7} \) This means that 2 (the numerator) is being … Read more
Multiplying a mixed number by a whole number may seem tricky at first, but it’s really a straightforward process when you break it down step by step. A mixed number consists of a whole part and a fractional part, such as 2 1/3. Here’s how you can do it: Convert the Mixed Number into an … Read more
Converting the decimal 0.2 into a fraction is a straightforward process. Here’s how you can do it step by step: Understand the Decimal: First, recognize that the decimal 0.2 can be read as ‘two tenths’. Write it as a Fraction: You can express this understanding as a fraction: 0.2 = 2/10. Simplify the Fraction: The … Read more
To express the repeating decimal 3.333… (where the digit ‘3’ repeats indefinitely) as a fraction, we can follow a systematic approach: Let x equal the repeating decimal: Let x = 3.333… Multiply by 10: To shift the decimal point, multiply both sides by 10: 10x = 33.333… Subtract the original equation from the new one: … Read more
To convert the decimal 3.6 into a fraction, follow these steps: Identify the Decimal Place: The number 3.6 has one decimal place. Convert to Fraction: To remove the decimal, consider 3.6 as 36 tenths. This is because there is one digit after the decimal point, which represents tenths. Thus, we can write: 3.6 = 36/10 … Read more
To calculate 3 raised to the power of 4, we multiply 3 by itself a total of 4 times: 34 = 3 × 3 × 3 × 3 Let’s break it down: First, we multiply the first two 3s: 3 × 3 = 9 Next, we take that result and multiply it by 3 again: … Read more
A square foot is a unit of area commonly used in the United States, especially in real estate and construction. To understand how many inches are in a square foot, we need to look at the dimensions involved. A square foot is defined as a square that measures one foot on each side. Since each … Read more