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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.
Can fractions always be written as decimals?
You can always convert a fraction to a decimal. For some fractions, you'll get terminating decimals. For example, 1/8 = 0.125. For other fractions, you get repeating decimals, such as 1/7 = 0.142857 142857 142857...To convert the fraction to a decimal, just divide the numerator by the denominator, for example on a calculator.
Is a non-terminating decimal always sometimes or never a rational number?
Sometimes. (pi) is non-terminating and irrational. 0.33333... non-terminating is 1/3 , which is rational.
Is a fraction always a rational number?
No, a fraction such as 22/7 (approximately pi), is a non-terminating, non-repeating fraction, making it irrational.
Why does 39 divided by 99 equal 0.39393939 repeating?
Simply because the solution to your sum produces a repeating decimal. Just as 22/7 (The value of Pi as a fraction) produces the repeating decimal 3.142857
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.
Can fractions always be written as decimals?
You can always convert a fraction to a decimal. For some fractions, you'll get terminating decimals. For example, 1/8 = 0.125. For other fractions, you get repeating decimals, such as 1/7 = 0.142857 142857 142857...To convert the fraction to a decimal, just divide the numerator by the denominator, for example on a calculator.
Is a terminating decimal always rational?
Yes.
Which of the following is always irrationalhe sum of two fractions the product of a fraction and a repeating decimal the sum of a terminating decimal and the square root of a perfect square the produ?
None of the items in the list.
What is a counterexample to show that the repeating decimals are closed under subtraction false?
In fact, the statement is true. Consequently, there is not a proper counterexample. The fallacy is in asserting that a terminating decimal is not a repeating decimal. First, there is the trivial argument that any terminating decimal can be written with a repeating string of trailing zeros. But, Cantor or Dedekind (I can't remember which) proved that any terminating decimal can also be expressed as a repeating decimal. For example, 2.35 can be written as 2.3499... Or 150,000 as 149,999.99... Thus, a terminating decimal becomes a recurring decimal. As a consequence, all real numbers can be expressed as infinite decimals. And that proves closure under addition.
Is a non-terminating decimal always sometimes or never a rational number?
Sometimes. (pi) is non-terminating and irrational. 0.33333... non-terminating is 1/3 , which is rational.
Are rational numbers always terminating?
No. The simplest example is the number 1/3, which when expressed as a decimal is the infinite (non-terminating) 0.333...
Is an irrational number always a non-repeating and non-terminating decimal number?
Yes.
Is a fraction always a rational number?
No, a fraction such as 22/7 (approximately pi), is a non-terminating, non-repeating fraction, making it irrational.
Is a decimal and fraction always equivalent?
no they are not always equivalent.
What is the closest sqare root of 389?
The square root of 389 is an irrational number. It has a non-terminating, non-repeating decimal representation. As a result, having found a close estimate, a decimal fraction with one more digit after the decimal place will always be closer. The roots are approx +-/ 19.72
Why does 39 divided by 99 equal 0.39393939 repeating?
Simply because the solution to your sum produces a repeating decimal. Just as 22/7 (The value of Pi as a fraction) produces the repeating decimal 3.142857
