How do you show the group of digits that repeat in a repeating decimal?
by underlining them
by printing them in italics
by putting a bar over them
by putting them in parentheses
The correct answer is by putting a bar over them.
How many digits long could the repeating cycle of a repeating decimal be if the denominator of the rational number is 7?
up to six digits long
any finite length
infinitely long
up to seven digits long
The correct answer is up to six digits long.
Convert 0.bar(27)
to a rational number in simplest form.(1 point)
3/11
27/99
1/27
27/100
To convert the repeating decimal 0.bar(27) to a rational number in simplest form:
Let x = 0.bar(27)
Multiply x by 100 to shift the decimal point two places to the right:
100x = 27.bar(27)
Subtract the original equation from the above equation to eliminate the repeating part:
100x - x = 27.bar(27) - 0.bar(27)
99x = 27
x = 27/99
Therefore, the rational number in simplest form equivalent to 0.bar(27) is 27/99.
To convert 0.bar(264)to a rational number, you would set x equal to 0.bar(264) and then multiply both sides of the equation by what number?
999
10
1,000
100
To convert 0.bar(264) to a rational number, you would set x equal to 0.bar(264) and then multiply both sides of the equation by 1000.
Setting x = 0.bar(264), we can multiply both sides by 1000 as follows:
1000x = 264.bar(264)
Next, subtract x from both sides to eliminate the repeating part:
1000x - x = 264.bar(264) - 0.bar(264)
Simplifying the equation yields:
999x = 264
Dividing both sides by 999 gives:
x = 264/999
Therefore, the rational number equivalent to 0.bar(264) is 264/999.
If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with what denominator?
100
99
999
1,000
If a repeating decimal has a repeating cycle of three digits, it will convert to a rational number with a denominator of 99.
Since the 1800s, which human activity has changed land use and led to the growth of large cities in many countries?
industrialization
colonization
pollution
rural population growth
The human activity since the 1800s that has changed land use and led to the growth of large cities in many countries is industrialization.
Fill in the black
Rapid population growth can result in large increases in the infant mortality rate if there is _______
A. a shortage of clean food and water
B. a higher cosumption of goods and services
C. deforestation
D. increased migration
The correct answer is A. a shortage of clean food and water.
Fill in the blank
______ are renewable resources because they can be replaced in a short time. _____ are nonrenewable resources because they cannot be replaced or can only be replaced over millions of years.
1st blank space
A. Fossil fuels
B. Metal ores
C. Minerals
D. Plants
2nd blank space
A. Animals
B. Fossil fuels
C. Plants
D. Water sources
The correct answers are:
1st blank space: D. Plants
2nd blank space: B. Fossil fuels