What is a decimal expansion meaning?

The decimal expansion of a number is its representation in base-10 (i.e., in the decimal system). In this system, each “decimal place” consists of a digit 0-9 arranged such that each digit is multiplied by a power of 10, decreasing from left to right, and with a decimal place indicating the s place.

How do you do decimal expansion?

Theorem 1: If m be any rational number whose decimal expansion is terminating in nature, then m can be expressed in form of pq , where p and q are co-primes and the prime factorization of q is of the form 2x 5y 2 x 5 y , where x and y are non-negative integers.

What is decimal expansion of real numbers?

The decimal expansion terminates or ends after finite numbers of steps. Such types of decimal expansion are called terminating decimals. It means that, after the decimal point, the numbers come to an end at a certain point. For example, ½ is a rational number and its decimal expansion is 0.5.

What is the type of decimal expansion?

There are generally 3 types of decimal expansion: Terminating. Non-terminating Repeating. Non-terminating Non Repeating.

What is the 5 11 decimal expansion?

5/11 as a decimal is 0.45454545454545.

How do you know if a decimal is expanding?

When the numerator of a rational number is divided by its denominator, we get the decimal expansion of the rational number. The decimal numbers thus obtained can be of two types. The decimal numbers having finite numbers of digits after the decimal point are known as the terminating decimal numbers.

What is the decimal expansion for 28 33?

28/33 as a decimal is 0.84848484848485.

What is decimal expansion class 9?

The decimal expansion of real numbers can be either terminating or non – terminating, repeating or non – terminating non – repeating. With the help of decimal expansion of real numbers, we can check whether it is rational or irrational. (b) The remainder never becomes zero and gets repeating numbers.

Which is the decimal expansion of 7 over 22?

7/22 as a decimal is 0.31818181818182.

What is a 28 out of 33?

Now we can see that our fraction is 84.848484848485/100, which means that 28/33 as a percentage is 84.8485%.

What is the decimal expansion of 13 upon 3125?

Then x has a terminating decimal expansion. The denominator is of form 20 × 55. Hence, the decimal expansion of 13/3125 is terminating.

What is the decimal expansion of 2 by 11?

Therefore, 2/11 = 0.1818 or 2/11 = 0.18 which is a non-terminating and recurring decimal.

What is the decimal expansion of 7 by 8?

Answer: 7/8 is expressed as 0.875 in its decimal form.

What is the decimal expansion of 13 by 6250?

136250= 13×24105=208105= 0.00208.

What is the decimal expansion of 136 1400?

Hence, 0.0971 is the correct decimal representation of .

What is the decimal expansion of 17 upon 8?

The decimal expansion of 17/8 is 2.125.

What type of decimal expansion it has 987 10500?

terminating decimal
∴ 987 / 10500 is terminating decimal. If a fraction has no other prime factors other than 2 and 5, it can be represented in its lowest terms as the terminating decimal.

Which of the following has a terminating decimal expansion?

The Correct Answer is 17/25. Decimal termination is generally defined as a decimal number that comprises a finite number of digits after the decimal point.