If Is Expressed as a Terminating Decimal

As you can see the only fraction that has a repeating decimal and is not a terminating decimal is 23. A terminating decimal is a decimal that has numbers that DO NOT go on forever.

If Is Expressed As A Terminating Decimal Magoosh Gre

For Example 1232 can be written as 123200000000.

. Hence the option A is the correct answer. A fraction is a terminating decimal if its factors are 2 or its powers 5 or its powers or both. If frac1211517 is expressed as a terminating decimal how many nonzero digits will the decimal have.

Three Four Five Six Nine. A terminating decimal like 132 can be represented as the repeating decimal 13. Feb 20 2018 Reply.

You have a terminating decimal if you wind up with a residual of 0. Therefore our answer is 23. If t 12⁹5³ is expressed as a terminating decimal.

Hence a rational number can be expressed as a terminating decimal if the denominator has factors 2 or 5. We can stop here because we know that the 10000000 in the denominator means to move the decimal place after the 16 seven places to the left. Hence a rational number can be expressed as a terminating decimal if the denominator has factors 2 or 5.

Otherwise its a repeating decimal. If 1 211 517 is expressed as a terminating decimal how many non-zero digits will the decimal have. Terminating decimal definition is a decimal number with a finite number of digits after the decimal point.

In the next post we will have more discussions and we will refine our conjecture. Terminating decimals are rational numbers which when converted into fractions. A terminating decimal true to its name is a decimal that has an end.

Simply divide the denominator by the numerator. In both the examples the result is a terminating decimal because terminating decimal is a decimal which can be expressed in a finite number of figures. The decimal quotient obtained is known as the terminating decimal.

Yes thered be the same number of nonzero digits and the nonzero digits would still be 6 and 4. If a terminating decimal can be expressed in the form p q where p and q are co-prime integers and q 0 and q is of the form 2 m 5 nwhere m and n are non-negative integersA. For example the fraction 237 has a terminating decimal representation because 2333 is evenly divided by 7.

1 211 511 11011 - which is nothing but a bunch of zeros followed by 1. If is expressed as a terminating decimal If is expressed as a terminating decimal how many zeros will t have between the decimal point and the first nonzero digit to the right of the decimal point. One comment converting decimals to fractions non-terminating decimals terminating decimals.

We use the term leading zeros to describe the zeros between the decimal point and the. In contrast 1 3 cannot be expressed as a. 2000000 but when the repeating digit is zero the number is usually labelled as terminating.

Non-zero numbers are 6 and 4. If 1211517 is expressed as a terminating decimal how ma 05 Oct 2021 2358 1 frac1211517 frac121151156 frac1101156 by rewriting 211 511 in the denominator as 1011. So the question basically asks you what 156 is.

A terminating decimal like 565 can be represented as the repeating decimal 56500000000 but when the repeating digit is zero the number is usually labelled as terminating. Effectively youd be dividing the original decimal value of 1 52 by 1011 which would mean 11 additional zeroes would be added between the decimal point and 64. If you can express the denominator of a simplified rational number in the form 2 p 5 q or 2 p or 5 q where p q N then the number has a terminating decimal expansion.

If tfrac12953 is expressed as a terminating decimalhow many zeros will t have between the decimal point and the first nonzero digit to the right of the decimal point. Hence 2 Option B. Terminating Decimals can be expressed as repeating decimals by simply placing zeros that are never-ending.

The final value of d will be 00000016. For example 1 4 can be expressed as a terminating decimal. Note that the division of 16 by 10000000 did not.

Your proof is fine for the part that any terminating decimal represents a rational number-you have demonstrated a rational number depending a bit on your definition-if they have to be in lowest terms you need to clear common. The given decimal is 07265 07265 frac07265 times 1000010000 frac726510000 Its a terminating decimal because the number that terminates after four decimal places and can be expressed in the form of fracpq. My work so far.

A terminating decimal number always has a finite number of digits after the decimal point. In the case of irrational numbers the decimal. Determine whether 07265 is a terminating or non-terminating decimal and Justify the answer.

Conversely any such rational number can be expressed and in one way only as a terminated decimal. Thus we can multiply 1 2357 by 2424. In fact such decimals will have a finite number of digits after the decimal point.

To figure this out we need to divide the fractions given. A One B Two C Four D Six E Eleven B 显示答案.

For A Fraction To Be Terminating Decimal It Should Have A 2 Or 5 Or Both In The Denominator Denominator Decimals Numerator

Terminating Decimal Meaning Examples Identification

Write Whether 7 75 Will Have Terminating Decimal Expansion Or

Fractions With Terminating And Non Terminating Decimal Representations Decimals Fractions Decimal Chart