To make: A true statement by inserting a symbol <, > or = text{between the given numbers} displaystyleoverline{{0.6}}{quadtext{and}quad}frac{5}{{6}}.

To make: A true statement by inserting a symbol <, > or = text{between the given numbers} displaystyleoverline{{0.6}}{quadtext{and}quad}frac{5}{{6}}.

Question
Decimals
asked 2021-01-15
To make: A true statement by inserting a symbol \(<,\ >\ or\ =\ \text{between the given numbers}\ \displaystyle\overline{{0.6}}{\quad\text{and}\quad}\frac{5}{{6}}.\)

Answers (1)

2021-01-16
The given numbers are \(\bar{0.6}\ and\ \frac{5}{6}.\)
To compare the numbers \(\displaystyle\overline{{0.6}}{\quad\text{and}\quad}\frac{5}{{6}},\ \text{first we write the fraction}\ \frac{5}{6}\ \text{as decimal and compare with the decimal}\ \bar{0.6}.\)
\(\displaystyle{6}\frac{0.833}{{5.00}}\)
\(\displaystyle\frac{{-{48}}}{{20}}\)
\(\displaystyle\frac{{-{18}}}{{20}}\)
\(\displaystyle\frac{{-{18}}}{{20}}\)
\(\displaystyle\frac{{-{18}}}{{2}}\)
Thus, \(\displaystyle\frac{5}{{6}}={0.833}\ldots{\quad\text{or}\quad}\overline{{0.83}}.\)
Now, we compare this with given decimal \(\bar{0.6}.\)
Original number \(\displaystyle\overline{{0.6}}\frac{5}{{6}}\)
Decimals\(\displaystyle\overline{{0.6}}\overline{{0.83}}\)
Compare \(\displaystyle\overline{{0.6}}<\overline{{0.83}}\)</span>
Thus, \(\displaystyle\overline{{0.6}}<\frac{5}{{6}}.\)</span>
Final statement:
\(\displaystyle\overline{{0.6}}<\frac{5}{{6}}.\)</span>
0

Relevant Questions

asked 2020-11-08
A true statement by inserting a symbol \(\displaystyle<,>{\quad\text{or}\quad}=\) between the given numbers \(\displaystyle{0.58}\overline{{3}}{\quad\text{and}\quad}\frac{6}{{11}}\)
asked 2020-11-08
A true statement by inserting a symbol \(\displaystyle<,>{\quad\text{or}\quad}=\) between the given numbers 7.123 and \(\displaystyle\frac{456}{{64}}.\)
asked 2021-06-10
The given question is \(93.6-0.518\)
That means we have to subtract the number 0.158 from the number 93.6.
asked 2021-06-12
To calculate:
The solution of the equation \(0.36u+2.55=0.41u+6.8\) by clearing the decimals.
asked 2021-03-09
Given \(\displaystyle \sin{{\left(\alpha\right)}}=\frac{4}{{9}}{\quad\text{and}\quad}\pi\text{/}{2}<\alpha<\pi\),
find the exact value of \(\displaystyle \sin{{\left(\alpha\text{/}{2}\right)}}.\)
asked 2021-05-28
Data analysis
Given a standard deck of cards,
To find the probability of drawing three red cards one by one by not replacing any of the card.
asked 2021-05-19
For digits before decimals point, multiply each digit with the positive powers of ten where power is equal to the position of digit counted from left to right starting from 0.
For digits after decimals point, multiply each digit with the negative powers of ten where power is equal to the position of digit counted from right to left starting from 1.
1) \(10^{0}=1\)
2) \(10^{1}=10\)
3) \(10^{2}=100\)
4) \(10^{3}=1000\)
5) \(10^{4}=10000\)
And so on...
6) \(10^{-1}=0.1\)
7) \(10^{-2}=0.01\)
8) \(10^{-3}=0.001\)
9) \(10^{-4}=0.0001\)
asked 2021-05-18
The student engineer of a campus radio station wishes to verify the effectivencess of the lightning rod on the antenna mast. The unknown resistance \(\displaystyle{R}_{{x}}\) is between points C and E. Point E is a "true ground", but is inaccessible for direct measurement because the stratum in which it is located is several meters below Earth's surface. Two identical rods are driven into the ground at A and B, introducing an unknown resistance \(\displaystyle{R}_{{y}}\). The procedure for finding the unknown resistance \(\displaystyle{R}_{{x}}\) is as follows. Measure resistance \(\displaystyle{R}_{{1}}\) between points A and B. Then connect A and B with a heavy conducting wire and measure resistance \(\displaystyle{R}_{{2}}\) between points A and C.Derive a formula for \(\displaystyle{R}_{{x}}\) in terms of the observable resistances \(\displaystyle{R}_{{1}}\) and \(\displaystyle{R}_{{2}}\). A satisfactory ground resistance would be \(\displaystyle{R}_{{x}}{<}{2.0}\) Ohms. Is the grounding of the station adequate if measurments give \(\displaystyle{R}_{{1}}={13}{O}{h}{m}{s}\) and R_2=6.0 Ohms?
asked 2021-04-13
A slab of insulating material of uniform thickness d, lying between \(\displaystyle{\frac{{-{d}}}{{{2}}}}\) to \(\displaystyle{\frac{{{d}}}{{{2}}}}\) along the x axis, extends infinitely in the y and z directions, as shown in the figure. The slab has a uniform charge density \(\displaystyle\rho\). The electric field is zero in the middle of the slab, at x=0. Which of the following statements is true of the electric field \(\displaystyle{E}_{{{\vec}}}\) at the surface of one side of the slab?
asked 2021-05-29
How do you know by inspection that the solution set of the inequality \(x+3>x+2\) is the entire set of real numbers?
...