Convert each of the following numbers from scientific to ordinary notation and write its name. 2 x 10^-2 Can you explain or clarify this problem? Thank you.
1 = 10^0 = one
.1 = 10^-1 = one tenth
.01 = 10^-2 = one hundredth
so, 2x10^-2 = .02 = two hundredths or one fiftieth
Sure! In scientific notation, a number is expressed as a product of a number between 1 and 10 (known as the coefficient) and 10 raised to a power (known as the exponent). The coefficient can be greater than or equal to 1 but less than 10.
In the given number, 2 x 10^-2, the coefficient is 2 and the exponent is -2. To convert this to ordinary notation, you need to multiply the coefficient by 10 raised to the power of the exponent.
In this case, 10 raised to the power of -2 is equal to 1/10^2, which is 1/100 or 0.01. Therefore, the number 2 x 10^-2 in ordinary notation is 0.01.
Certainly! The given number, 2 x 10^-2, is written in scientific notation. Scientific notation is a way to express very large or very small numbers by using powers of 10.
In this specific example, 2 is multiplied by 10 raised to the power of -2.
To convert it to ordinary notation, we need to evaluate the expression:
2 x 10^-2 = 2 / 10^2 = 2 / 100 = 0.02
So, the number 2 x 10^-2, when converted to ordinary notation, is 0.02.
In terms of its name, we can say that 0.02 is two hundredths.