Terminating and Repeating Decimals. Any rational number (that is, a fraction in lowest terms) can be written as either a terminating decimal or a repeating decimal . Just divide the numerator by the denominator . ... Otherwise, the remainders will begin to repeat after some point, and you have a repeating decimal.
To decide the power of 10 to multiply an equation with repeating digits ; Round the equation to the required significant numbers.
when the numerator of an equation is divided by the denominator and the result is not a whole number ( i.e. number with some decimals)and sometimes the decimal places are unending. to present the result properly we have to round off the number to the nearest significant number, then you can multiply the equation with the power of 10, in relation to the number of significant places you rounded off.
Example :
5/200 = 0.025
To express this answer with the power of 10
0.025 = 2.5 * 10 ^-2
Learn more about significant figures : https://brainly.com/question/11566364
