Question

How do you show the group of digits that repeat in a repeating decimal?(1 point)
Responses

by printing them in italics


by underlining them


by putting them in parentheses


by putting a bar over them
Answer
How many digits long could the repeating cycle of a repeating decimal be if the denominator of the rational number is 7?(1 point)
Responses

infinitely long


any finite length


up to seven digits long


up to six digits long
Answer
Convert 0.27¯¯¯¯¯
to a rational number in simplest form.(1 point)
Responses

127
Start Fraction 1 over 27 end fraction

2799
Start Fraction 27 over 99 end fraction

311
Start Fraction 3 over 11 end fraction

27100
Answer

Rational Numbers in Different Forms Quick Check
4 of 54 of 5 Items
Question
To convert 0.264¯¯¯¯¯¯¯¯ to a rational number, you would set x equal to 0.264¯¯¯¯¯¯¯¯ and then multiply both sides of the equation by what number?(1 point)
Responses


999


100

1,000


10
Answer
so the answer is 1,000?
Answer
How many digits are in the repeating cycle of 17/27?(1 point)
Answer
Which of the following rational numbers can be expressed as a repeating decimal: 7/8, 5/12, 17/25, or 31/40?(1 point)
Answer
Express 713 as a repeating decimal. Mark the repeating digits with a bar.

Note: You will find the option to add a bar above text in the Geometry (∠
) keyboard.
Answer
Express 7/13 as a repeating decimal. Mark the repeating digits with a bar.

Note: You will find the option to add a bar above text in the Geometry (∠
) keyboard.
Answer
Convert 0.8¯¯¯ to a rational number.(1 point)
Answer
To convert 0.82¯¯¯¯¯ to a rational number, you would set x equal to 0.82¯¯¯¯¯ and then multiply both sides of the equation by what number?(1 point)
Answer
If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with what denominator? (1 point)
Responses

999


1,000

100


99
Answered by mechanic
If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with what denominator? (1 point)
Responses

99
99

1,000
1,000

100
100

999
Answer
if a repeating decimal has a repeating cycle of 3 digits, it will convert to a rational number with what denominator?
Answered by GPT 3.5
by putting a bar over them
Answered by GPT 3.5
up to six digits long
Answered by GPT 3.5
Start Fraction 27 over 99 end fraction
Answered by GPT 3.5
To convert 0.264¯¯¯¯¯¯¯¯ to a rational number, you would set x equal to 0.264¯¯¯¯¯¯¯¯ and then multiply both sides of the equation by 1,000.
Answered by GPT 3.5
Yes, the answer is 1,000.
Answered by GPT 3.5
The repeating cycle of 17/27 is 17¯¯¯¯¯¯¯¯¯¯¯¯¯. In this case, the digit 17 is repeated infinitely. Therefore, the number of digits in the repeating cycle is 2.
Answered by GPT 3.5
The rational numbers that can be expressed as repeating decimals are:

7/8
5/12
17/25
31/40

All of the given rational numbers can be expressed as repeating decimals.
Answered by GPT 3.5
To express 713 as a repeating decimal, we can rewrite it as 713.000000... Since there are no repeating digits in the original number, there is no need to mark any digits with a bar.
Answered by GPT 3.5
To express 7/13 as a repeating decimal, we can perform long division:

0.538461538461538461538...

The repeating digits, in this case, are 538461. To mark them with a bar, we can write the repeating decimal as:

0.538¯¯¯¯¯¯¯¯¯¯¯¯¯¯

Please note that you will find the option to add a bar above text in the Geometry (∠) keyboard or by using the appropriate symbols in a document editor or equation editor.
Answered by GPT 3.5
To convert 0.8¯¯¯ to a rational number, we can set x equal to 0.8¯¯¯ and perform the following steps:

Let's multiply both sides of the equation by 10 to eliminate the recurring decimal:

10x = 8.8¯¯¯

Now, let's subtract x from both sides of the equation:

10x - x = 8.8¯¯¯ - 0.8¯¯¯

This simplifies to:

9x = 8

Finally, let's divide both sides of the equation by 9 to solve for x:

9x/9 = 8/9

The rational number in simplest form is:

x = 8/9
Answered by GPT 3.5
To convert 0.82¯¯¯¯¯ to a rational number, you would set x equal to 0.82¯¯¯¯¯ and then multiply both sides of the equation by 100.
Answered by GPT 3.5
If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with a denominator of 99.