0
What else can I help you with?
How does 1 over 3 to 100th power have a repeating or terminating decimal representation?
It is repeating. Any fraction in simplest terms which has ANY prime factor other than 2 or 5 in its denominator will be a repeating fraction.
What causes the difference in terminating decimals and repeating decimals?
If a fraction is a rational number then if the denominator goes into the numerator or into the numerator multiplied by a power of 10, then you will have a terminating decimal. Otherwise it will be a repeating decimal.
Why do you multiplied by a power of 10 when writing a repeating decimal as a rational number?
Multiplying by ten to the power k moves the decimal point k places to the right. If the repeating sequence comprises n digits and you multiply by 10n then the decimal point is moved n places to the right and the positions of the repeating sequence relative to the decimal point is not changed. This allows you to subtract the one repeating decimal expression from the other and get a terminating decimal which can then be used as the numerator of the ratio.
Is the fraction 7 over 6 a terminating decimal or a repeating decimal?
Well honey, let me break it down for you. The fraction 7/6 is an improper fraction, meaning the numerator is greater than the denominator. When you divide 7 by 6, you get 1 with a remainder of 1. So, it's not a terminating decimal, nor is it a repeating decimal. It's just a sassy little fraction that doesn't conform to your decimal rules.
How can you use place value to write a terminating decimal as a fraction with a power of ten in the deminator?
Finding a place value in a terminating decimal is easy. When placing the decimal always remember to place it at the tenth.
What is 0.966129 raised to the 100th power?
0.966129100 = 0.0319 (answer accurate to 4 decimal places only)
Why do I get a repeating decimal when I divide?
When you get a repeating decimal when dividing, it means that the decimal representation of the quotient has a repeating pattern of digits. This occurs when the divisor (the number you're dividing by) is not a factor of 10, leading to a situation where the division process does not result in a clean, terminating decimal. The repeating decimal is a way to represent the fraction that results from the division in a concise form.
Why are number 4 a terminating decimal?
Because 4 is a factor of a power of 10: 4 divides into 100.
What is the meaning of Terminating quotient?
In mathematics, a terminating quotient refers to a division operation that results in a decimal that ends after a finite number of digits. This occurs when the divisor is a factor of a power of ten, allowing the division to be expressed as a terminating decimal. For example, dividing 1 by 8 yields 0.125, a terminating quotient. In contrast, a non-terminating quotient continues indefinitely, such as 1 divided by 3, which results in 0.333...
What is negative 6.8 repeating decimal as a fraction?
To convert a repeating decimal to a fraction, let x = -6.8. Multiply the repeating decimal by a power of 10 to eliminate the repeating part. Therefore, 10x = -68.8888.... Subtract the original equation from this to get 9x = -75, which simplifies to x = -75/9. Thus, the fraction form of -6.8 repeating decimal is -75/9.
How do you change a repeating decimal to a mixed number?
To convert a repeating decimal to a mixed number, first separate the non-repeating part from the repeating part. Let ( x ) equal the repeating decimal. Multiply ( x ) by a power of 10 that moves the decimal point to the right, aligning the repeating parts. Subtract the original equation from this new equation to eliminate the repeating part, then solve for ( x ). Finally, express the resulting fraction as a mixed number if applicable.
How do I multiply a fraction to a 100th power?
You can either calculate the fraction and raise the result to the 100th power or raise the numerator to the 100th power and divide it by the denominator raised to the 100th power.
