To express the number 60 as a fraction in its simplest form, we can follow these steps: Understand what a fraction is: A fraction represents a part of a whole and is generally written in the form of numerator/denominator. In this case, we want to express 60 as a fraction. Choose a denominator: A simple … Read more
10 to the power of 10, also written as 1010, is a mathematical expression that means 10 multiplied by itself 10 times. This concept is part of the field of exponents in mathematics, where a number (the base) is raised to a certain power (the exponent). To break it down, let’s calculate it step by … Read more
To convert 60 percent into a fraction, we start by understanding what percent means. The term ‘percent’ comes from the Latin phrase ‘per centum’, which translates to ‘by the hundred’. Therefore, 60 percent can be written as: 60% = 60/100 Now, to simplify the fraction 60/100, we need to find the greatest common divisor (GCD) … Read more
To convert the fraction 1/12 into a decimal, you need to perform division. This involves dividing the numerator (1) by the denominator (12). Here’s how you can do it step by step: Take the fraction 1/12 which means 1 divided by 12. Set up the division: 1.000 (you add a decimal point and zeroes to … Read more
10 raised to the power of 6, often written as 106, represents a mathematical expression where the base is 10 and the exponent is 6. This expression means that you multiply 10 by itself a total of 6 times. To break it down further, you would calculate it as follows: 106 = 10 × 10 … Read more
When we talk about 10 raised to the power of negative 3 (written as 10-3), we’re dealing with a mathematical concept called exponentiation. Exponents indicate how many times a number (the base) is multiplied by itself. In the case of a negative exponent, however, it signifies reciprocal values. So, 10-3 translates to: 1 / 103 … Read more
When we look at the expression x squared plus x squared, we are essentially dealing with algebraic terms. This expression can be written mathematically as: x² + x² To simplify this, we can observe that both terms have the same variable and exponent. When adding like terms in algebra, we combine the coefficients of the … Read more
To find out what 30 is of 400, you essentially want to determine the proportion of 30 compared to 400. In mathematical terms, this can be represented as: 1. **Calculating the Percentage**: First, divide 30 by 400 to get the decimal value: 30 ÷ 400 = 0.075. Next, convert the decimal into a percentage by … Read more
To find out what 10 percent of 40 is, you can follow a simple mathematical process. Percent means ‘per hundred,’ so when we say 10 percent, it translates to 10 out of every 100. To calculate 10 percent of any number, you multiply the number by 0.10 (which is the decimal form of 10 percent). … Read more
To find 80 percent of 40, you can use a simple calculation method. First, remember that ‘percent’ means ‘per hundred’. So, 80 percent can be expressed as a fraction: 80/100 or 0.80. Now, you multiply 40 by 0.80: Calculation: 40 x 0.80 = 32 Therefore, 80 percent of 40 is 32. This means if you … Read more