297781
While representing \(\frac{2}{3}\) on a number line, between which 2 integers does the point lie?
1 1 and 2
2 0 and 1
3 2 and 3
4 1 and 3
Explanation:
0 and 1 \(\frac{2}{3} = {0.67}\) It is clear that 0.67 lies between 0 and 1
RATIONAL NUMBERS
297782
Reciprocal of \(\frac{-3}{4}\) is:
1 \(\frac{3}{4}\)
2 \(\frac{4}{3}\)
3 \(\frac{-4}{3}\)
4 None of these.
Explanation:
\(\frac{-4}{3}\) We know that the reciprocal of the rational number \(\frac{\text{a}}{\text{b}}\text{ is }\Big(\frac{\text{a}}{\text{b}}\Big)^{-1}=\frac{\text{b}}{\text{a}}\) \(\therefore\) Reciprocal of \(\frac{-3}{4}\) \(=\Big(\frac{-3}{4}\Big)^{-1}\) \(=\frac{4}{-3}\) \(=\frac{4\times(-1)}{-3\times(-1)}\) \(=\frac{-4}{3}\) Hence, the correct answer is option (c).
RATIONAL NUMBERS
297783
\(1\div\frac{-5}{7}=\)
1 \(\frac{2}{7}\)
2 \(\frac{5}{7}\)
3 \(-\frac{2}{7}\)
4 \(\frac{-7}{5}\)
Explanation:
\(\frac{-7}{5}\) \(1\div??\frac{-5}{7}\) \(=1\times\frac{7}{-5}\) \(\Big(\text{x}\div\text{y}=\text{x}\times\frac{1}{\text{y}}\Big)\) \(=\frac{7}{-5}\) \(=\frac{7\times(-1)}{-5\times(-1)}\) \(=\frac{-7}{5}\) Hence, the correct answer is option (d).
RATIONAL NUMBERS
297784
If P: every fraction is a rational number and Q: every rational number is a fraction, then which of the following options hold?
1 P is true and Q is false
2 P is false and Q is true
3 Both p and q are true
4 Both p and q are false
Explanation:
P is true and Q is false P: Every fraction is a rational number: True Q: Every rational number is a fraction: False
297781
While representing \(\frac{2}{3}\) on a number line, between which 2 integers does the point lie?
1 1 and 2
2 0 and 1
3 2 and 3
4 1 and 3
Explanation:
0 and 1 \(\frac{2}{3} = {0.67}\) It is clear that 0.67 lies between 0 and 1
RATIONAL NUMBERS
297782
Reciprocal of \(\frac{-3}{4}\) is:
1 \(\frac{3}{4}\)
2 \(\frac{4}{3}\)
3 \(\frac{-4}{3}\)
4 None of these.
Explanation:
\(\frac{-4}{3}\) We know that the reciprocal of the rational number \(\frac{\text{a}}{\text{b}}\text{ is }\Big(\frac{\text{a}}{\text{b}}\Big)^{-1}=\frac{\text{b}}{\text{a}}\) \(\therefore\) Reciprocal of \(\frac{-3}{4}\) \(=\Big(\frac{-3}{4}\Big)^{-1}\) \(=\frac{4}{-3}\) \(=\frac{4\times(-1)}{-3\times(-1)}\) \(=\frac{-4}{3}\) Hence, the correct answer is option (c).
RATIONAL NUMBERS
297783
\(1\div\frac{-5}{7}=\)
1 \(\frac{2}{7}\)
2 \(\frac{5}{7}\)
3 \(-\frac{2}{7}\)
4 \(\frac{-7}{5}\)
Explanation:
\(\frac{-7}{5}\) \(1\div??\frac{-5}{7}\) \(=1\times\frac{7}{-5}\) \(\Big(\text{x}\div\text{y}=\text{x}\times\frac{1}{\text{y}}\Big)\) \(=\frac{7}{-5}\) \(=\frac{7\times(-1)}{-5\times(-1)}\) \(=\frac{-7}{5}\) Hence, the correct answer is option (d).
RATIONAL NUMBERS
297784
If P: every fraction is a rational number and Q: every rational number is a fraction, then which of the following options hold?
1 P is true and Q is false
2 P is false and Q is true
3 Both p and q are true
4 Both p and q are false
Explanation:
P is true and Q is false P: Every fraction is a rational number: True Q: Every rational number is a fraction: False
297781
While representing \(\frac{2}{3}\) on a number line, between which 2 integers does the point lie?
1 1 and 2
2 0 and 1
3 2 and 3
4 1 and 3
Explanation:
0 and 1 \(\frac{2}{3} = {0.67}\) It is clear that 0.67 lies between 0 and 1
RATIONAL NUMBERS
297782
Reciprocal of \(\frac{-3}{4}\) is:
1 \(\frac{3}{4}\)
2 \(\frac{4}{3}\)
3 \(\frac{-4}{3}\)
4 None of these.
Explanation:
\(\frac{-4}{3}\) We know that the reciprocal of the rational number \(\frac{\text{a}}{\text{b}}\text{ is }\Big(\frac{\text{a}}{\text{b}}\Big)^{-1}=\frac{\text{b}}{\text{a}}\) \(\therefore\) Reciprocal of \(\frac{-3}{4}\) \(=\Big(\frac{-3}{4}\Big)^{-1}\) \(=\frac{4}{-3}\) \(=\frac{4\times(-1)}{-3\times(-1)}\) \(=\frac{-4}{3}\) Hence, the correct answer is option (c).
RATIONAL NUMBERS
297783
\(1\div\frac{-5}{7}=\)
1 \(\frac{2}{7}\)
2 \(\frac{5}{7}\)
3 \(-\frac{2}{7}\)
4 \(\frac{-7}{5}\)
Explanation:
\(\frac{-7}{5}\) \(1\div??\frac{-5}{7}\) \(=1\times\frac{7}{-5}\) \(\Big(\text{x}\div\text{y}=\text{x}\times\frac{1}{\text{y}}\Big)\) \(=\frac{7}{-5}\) \(=\frac{7\times(-1)}{-5\times(-1)}\) \(=\frac{-7}{5}\) Hence, the correct answer is option (d).
RATIONAL NUMBERS
297784
If P: every fraction is a rational number and Q: every rational number is a fraction, then which of the following options hold?
1 P is true and Q is false
2 P is false and Q is true
3 Both p and q are true
4 Both p and q are false
Explanation:
P is true and Q is false P: Every fraction is a rational number: True Q: Every rational number is a fraction: False
297781
While representing \(\frac{2}{3}\) on a number line, between which 2 integers does the point lie?
1 1 and 2
2 0 and 1
3 2 and 3
4 1 and 3
Explanation:
0 and 1 \(\frac{2}{3} = {0.67}\) It is clear that 0.67 lies between 0 and 1
RATIONAL NUMBERS
297782
Reciprocal of \(\frac{-3}{4}\) is:
1 \(\frac{3}{4}\)
2 \(\frac{4}{3}\)
3 \(\frac{-4}{3}\)
4 None of these.
Explanation:
\(\frac{-4}{3}\) We know that the reciprocal of the rational number \(\frac{\text{a}}{\text{b}}\text{ is }\Big(\frac{\text{a}}{\text{b}}\Big)^{-1}=\frac{\text{b}}{\text{a}}\) \(\therefore\) Reciprocal of \(\frac{-3}{4}\) \(=\Big(\frac{-3}{4}\Big)^{-1}\) \(=\frac{4}{-3}\) \(=\frac{4\times(-1)}{-3\times(-1)}\) \(=\frac{-4}{3}\) Hence, the correct answer is option (c).
RATIONAL NUMBERS
297783
\(1\div\frac{-5}{7}=\)
1 \(\frac{2}{7}\)
2 \(\frac{5}{7}\)
3 \(-\frac{2}{7}\)
4 \(\frac{-7}{5}\)
Explanation:
\(\frac{-7}{5}\) \(1\div??\frac{-5}{7}\) \(=1\times\frac{7}{-5}\) \(\Big(\text{x}\div\text{y}=\text{x}\times\frac{1}{\text{y}}\Big)\) \(=\frac{7}{-5}\) \(=\frac{7\times(-1)}{-5\times(-1)}\) \(=\frac{-7}{5}\) Hence, the correct answer is option (d).
RATIONAL NUMBERS
297784
If P: every fraction is a rational number and Q: every rational number is a fraction, then which of the following options hold?
1 P is true and Q is false
2 P is false and Q is true
3 Both p and q are true
4 Both p and q are false
Explanation:
P is true and Q is false P: Every fraction is a rational number: True Q: Every rational number is a fraction: False
