To find 2 to the 6th power, we simply need to calculate 2 raised to the power of 6. This means we multiply the base (which is 2) by itself 6 times. The mathematical expression looks like this: 2^6 = 2 × 2 × 2 × 2 × 2 × 2 Now, let’s perform the … Read more
The average number of weeks in a month can be understood by examining the basic relationship between days and weeks. A standard month has about 30 or 31 days, except for February, which has 28 days most years and 29 days in a leap year. To calculate the average number of weeks in a month, … Read more
To solve the expression 2 raised to the power of 3, we are essentially performing the operation of multiplying the number 2 by itself a total of three times. This can be represented mathematically as: 2 x 2 x 2 Now, let’s break it down step by step: First, we multiply the first two 2’s: … Read more
To convert the fraction 8/9 into a decimal, you need to divide the numerator (8) by the denominator (9). When you perform the division, you can either use long division or a calculator. If you use long division, you would set it up as follows: 9 goes into 8, 0 times. Since 8 is less … Read more
To convert the decimal 0.8 into a fraction, follow these simple steps: Understand the decimal: The decimal 0.8 represents a number that is less than 1. You can read it as “eight tenths” because there is one digit after the decimal point. Write it as a fraction: To express 0.8 as a fraction, you can … Read more
To convert the decimal 0.33333 into a fraction, we start by recognizing that this decimal is a repeating decimal, with the digit 3 repeating indefinitely. 1. **Identifying the repeating part:** The decimal can be represented as 0.3̅, where the bar indicates that the 3 continues infinitely. 2. **Setting up an equation:** We can let x … Read more
To find the value of 2 by 3 multiplied by 4 expressed as a fraction, we start by interpreting the mathematical expression: First, we can represent 2 by 3 as the fraction 2/3. Next, we want to multiply this fraction by 4. But to multiply a fraction by a whole number, we can think of … Read more
Pi (π) is an irrational number, meaning that it cannot be expressed as a fraction of two integers. This unique property of pi is one of the reasons it has fascinated mathematicians for centuries. To get a clearer picture, let’s explore what makes a number rational or irrational. A rational number can be written as … Read more
The distinction between a yard and a meter lies in their definitions, origins, and usage within different measurement systems. Let’s break it down: Definitions: Yard: A yard is a unit of length in the Imperial system, commonly used in the United States and some other countries. It is defined as exactly 0.9144 meters. Meter: A … Read more
To express 8 divided by 3 as a fraction, you can start by writing it in fraction form. When you divide 8 by 3, you are essentially creating the fraction 8/3. This means that you have 8 parts, and you are splitting them into groups of 3. As a result, 8/3 can also be interpreted … Read more