Question

Find six rational numbers between 3 and 4 .


Answer

To find six rational numbers between 3 and 4, we can simply choose denominators and create fractions that lie between these two integers. A straightforward way to do this is to use a common denominator and then select six fractions that fall into this range. Let's use 10 as the denominator for simplicity. The rational numbers between 3 and 4 with a denominator of 10 are:

  • $3\frac{1}{10} = \frac{31}{10}$

  • $3\frac{2}{10} = \frac{32}{10}$

  • $3\frac{3}{10} = \frac{33}{10}$

  • $3\frac{4}{10} = \frac{34}{10}$

  • $3\frac{5}{10} = \frac{35}{10}$

  • $3\frac{6}{10} = \frac{36}{10}$

These are six rational numbers that lie between 3 and 4. Note that the fractions can be simplified, but they are expressed in these forms to directly show their status as numbers between 3 and 4.


Was this helpful?

✨ Free AI Tools for You

Powered by Chatterbot AI


Related Questions

Sum of 6 consecutive integers is 3. Find the sum of squares of those 6 integers.

A. 19

B. 12

C. 18

D. 20

26: The surface areas of the six faces of a rectangular solid are $16, 16, 32, 32, 72,$ and $72$ sq cm. The volume of the solid (in cubic cm) is a) 192 b) 384 c) 480 d) 2592

A light source of frequency v illuminates a metallic surface and ejects photoelectrons. The photoelectrons having maximum energy are just able to excite the hydrogen atom in ground state. When the whole experiment is repeated with an incident radiation of frequency $\frac{6}{5} \mathrm{v}$, the photoelectrons so emitted are able to excite the hydrogen atom which then emit radiation of six different wavelengths.

  • The work function of the metal is $3.15 \mathrm{eV}$
  • The work function of the metal is $2.55 \mathrm{eV}$
  • The frequency of radiation is $3.08 \times 10^{15} \mathrm{~Hz}$
  • The frequency of radiation is $3.08 \times 10^{14} \mathrm{~Hz}$

Find five rational numbers between $\frac{3}{5}$ and $\frac{4}{5}$.

Find three different irrational numbers between the rational numbers $\frac{5}{7}$ and $\frac{9}{11}$.