Advertisements
Advertisements
प्रश्न
Write the following rational numbers in `bb(p/q)` form.
\[\ce{0.\overset{\bullet}{6}}\]
Advertisements
उत्तर
Let x = 0.666.... = \[\ce{0.\overset{\bullet}{6}}\]
∴ 10x = 6.666... = \[\ce{0.\overset{\bullet}{6}}\]
∴ 10x − x = \[\ce{6.\overset{\bullet}{6} - 0.\overset{\bullet}{6}}\]
∴ 9x = 6
∴ x = `6/9`
∴ x =`2/3`
∴ \[\ce{0.\overset{\bullet}{6}}\] = `2/3`
APPEARS IN
संबंधित प्रश्न
Add the following rational numbers:
Fill in the branks:
Express each of the following as a rational number of the form \[\frac{p}{q}:\]
Express each of the following as a rational number of the form \[\frac{p}{q}:\]
Multiply:
Simplify each of the following and express the result as a rational number in standard form:
Simplify:
Divide:
Find the value and express as a rational number in standard form:
Find ten rational numbers between\[\frac{3}{5} \text{and} \frac{3}{4} .\]
Insert a rational number between:
8 and 8.04
Insert three rational number between:
6 and 7
Arrange the following rational numbers in ascending order.
`(-7)/(12), (-3)/(10) and (-2)/(5)`
Arrange the following rational numbers in ascending order.
`(10)/(9),(13)/(12) and (19)/(18)`
If `x/y` is a rational number, then y is always a whole number.
The population of India in 2004 - 05 is a rational number.
All decimal numbers are also rational numbers.
8 can be written as a rational number with any integer as denominator.
150 students are studying English, Maths or both. 62 per cent of the students are studying English and 68 per cent are studying Maths. How many students are studying both?
A body floats `2/9` of its volume above the surface. What is the ratio of the body submerged volume to its exposed volume? Re-write it as a rational number.
