Express 7/13 as a repeating decimal
To express the fraction 7/13 as a repeating decimal, divide 7 by 13:
7 ÷ 13 = 0.538461538461...
The decimal part of the quotient repeats the pattern "538461" indefinitely.
Mark the repeating digits with a bar
To express 7/13 as a repeating decimal, the repeating digits should be marked with a bar.
Thus, 7/13 = 0.538461538461...
Convert 0.8 to a rational number
To convert 0.8 to a rational number, we can write it as a fraction with a numerator and denominator.
First, let x = 0.8.
To remove the decimal point, we multiply x by 10, which gives us:
10x = 8.
Solving for x, we divide both sides of the equation by 10:
x = 8/10.
Simplifying the fraction, we can reduce it to its simplest form:
x = 4/5.
Therefore, 0.8 as a rational number is equal to 4/5.
Which of the following is an irrational, number between 5 and 6. /6 /12. /27. /36
None of the given numbers is an irrational number between 5 and 6.
To determine if a number is irrational, it must be a non-repeating, non-terminating decimal and cannot be expressed as a fraction. However, all the numbers listed (6, 12, 27, 36) are rational numbers since they can be expressed as whole numbers or fractions.
Find a rational number between 2 and 2 1/4 using the method of adding the numbers toghrpether and dividing 2 wr8te as a m8xed number
To find a rational number between 2 and 2 1/4, we can add the two numbers together and divide by 2.
2 + 2 1/4 = 9/4 + 9/4 = 18/4 = 9/2
To write 9/2 as a mixed number, we divide the numerator by the denominator:
9 ÷ 2 = 4 remainder 1
Thus, 9/2 can be written as the mixed number 4 1/2.
Therefore, a rational number between 2 and 2 1/4 is 4 1/2.