Question

moderater help please in math​

Answer 1

$\huge\text{Question-}$

Which of the following number is in standard form

$\huge\text{Answer-}$

$\;\;\underline{\boxed{\tt{\;\bf{\green{c) \dfrac{ - 9}{16} }}}}}$

________________

$\huge\text{Question-}$

(-9/16 × 8/15) = ?

$\huge\text{Answer-}$

$\dashrightarrow\sf \: \dfrac{ - 9}{16} \times \dfrac{8}{15}$

$\dashrightarrow\sf \: \dfrac{ -72}{240}$

$\dashrightarrow\sf \: \dfrac{ - \cancel{72}}{ \cancel{240}} = \dfrac{ - 3}{10}$

$\;\;\underline{\boxed{\tt{\;\bf{\green{a) \dfrac{ - 3}{10} }}}}}$

________________

$\huge\text{Question-}$

(-5/9 ÷ 2/3) = ?

$\huge\text{Answer-}$

$\dashrightarrow\sf \: \dfrac{ - 5}{9} \div \dfrac{2}{3}$

$\dashrightarrow\sf \: \dfrac{ - 5}{9} \times \dfrac{3}{2}$

$\dashrightarrow\sf \: \dfrac{ -15}{18}$

$\dashrightarrow\sf \: \dfrac{ - \cancel{15}}{ \cancel{18}} = \dfrac{ -5}{6}$

$\;\;\underline{\boxed{\tt{\;\bf{\green{b) \dfrac{ - 5}{6} }}}}}$

________________

$\huge\text{Question-}$

4/9 ÷ ? = -8/15

$\huge\text{Answer-}$

$\dashrightarrow\sf \: \dfrac{4}{9} \div x = \dfrac{-8}{15}$

$\dashrightarrow\sf \: x = \dfrac{ - \cancel{ 8}}{15} \times \dfrac{9}{\cancel{4}}$

$\dashrightarrow\sf \: x = \dfrac{ -{ 2}}{15} \times \dfrac{9}{1}$

$\dashrightarrow\sf \: x = \dfrac{ -{ 18}}{15}$

$\dashrightarrow\sf \: x= \dfrac{ - \cancel{18}}{ \cancel{15}} = \dfrac{ -5}{6}$

$\;\;\underline{\boxed{\tt{\;\bf{\green{d) \dfrac{ - 5}{6} }}}}}$

________________

$\huge\text{Question-}$

Between any two given rational number we can find -

$\huge\text{Answer-}$

d) Infinitely many rational numbers

________________

$\huge\text{Question-}$

rational number between 1/5 and 1/2 is

$\huge\text{Answer-}$

$\;\;\underline{\boxed{\tt{\;\bf{\green{d) \dfrac{ 7}{20} }}}}}$

________________

$\huge\text{Question-}$

Identify the rational number between 1/3 and 4/5 is

$\huge\text{Answer-}$

$\;\;\underline{\boxed{\tt{\;\bf{\green{c) \dfrac{1 7}{30} }}}}}$

________________

$\huge\text{Question-}$

arrange the rational number -7/10 , -5/8,-2/3 ascending order

$\huge\text{Answer-}$

by taking the LCM of 10 , 8 and 3 we got 120

→ -7/10 × 12/12 = -84/120

→ -5/8 × 15/15 = -75/120

→ -2/3 × 40/40 = -80/120

hence ,

-84/120 < -80/120 < -75/120

-7/10 < -2/3 < -5/8

$\;\;\underline{\boxed{\tt{\;\bf{\green{b)-7/10 < -2/3 < -5/8 }}}}}$

Answer 2

Answer:

Question-

Which of the following number is in standard form

\huge\text{Answer-}Answer-

\;\;\underline{\boxed{\tt{\;\bf{\green{c) \dfrac{ - 9}{16} }}}}}

c)

16

−9

________________

\huge\text{Question-}Question-

(-9/16 × 8/15) = ?

\huge\text{Answer-}Answer-

\dashrightarrow\sf \: \dfrac{ - 9}{16} \times \dfrac{8}{15}⇢

16

−9

×

15

8

\dashrightarrow\sf \: \dfrac{ -72}{240}⇢

240

−72

\dashrightarrow\sf \: \dfrac{ - \cancel{72}}{ \cancel{240}} = \dfrac{ - 3}{10}⇢

240

−

72

=

10

−3

\;\;\underline{\boxed{\tt{\;\bf{\green{a) \dfrac{ - 3}{10} }}}}}

a)

10

−3

________________

\huge\text{Question-}Question-

(-5/9 ÷ 2/3) = ?

\huge\text{Answer-}Answer-

\dashrightarrow\sf \: \dfrac{ - 5}{9} \div \dfrac{2}{3}⇢

9

−5

÷

3

2

\dashrightarrow\sf \: \dfrac{ - 5}{9} \times \dfrac{3}{2}⇢

9

−5

×

2

3

\dashrightarrow\sf \: \dfrac{ -15}{18}⇢

18

−15

\dashrightarrow\sf \: \dfrac{ - \cancel{15}}{ \cancel{18}} = \dfrac{ -5}{6}⇢

18

−

15

=

6

−5

\;\;\underline{\boxed{\tt{\;\bf{\green{b) \dfrac{ - 5}{6} }}}}}

b)

6

−5

________________

\huge\text{Question-}Question-

4/9 ÷ ? = -8/15

\huge\text{Answer-}Answer-

\dashrightarrow\sf \: \dfrac{4}{9} \div x = \dfrac{-8}{15}⇢

9

4

÷x=

15

−8

\dashrightarrow\sf \: x = \dfrac{ - \cancel{ 8}}{15} \times \dfrac{9}{\cancel{4}}⇢x=

15

−

8

×

4

9

\dashrightarrow\sf \: x = \dfrac{ -{ 2}}{15} \times \dfrac{9}{1}⇢x=

15

−2

×

1

9

\dashrightarrow\sf \: x = \dfrac{ -{ 18}}{15}⇢x=

15

−18

\dashrightarrow\sf \: x= \dfrac{ - \cancel{18}}{ \cancel{15}} = \dfrac{ -5}{6}⇢x=

15

−

18

=

6

−5

\;\;\underline{\boxed{\tt{\;\bf{\green{d) \dfrac{ - 5}{6} }}}}}

d)

6

−5

________________

\huge\text{Question-}Question-

Between any two given rational number we can find -

\huge\text{Answer-}Answer-

d) Infinitely many rational numbers

________________

\huge\text{Question-}Question-

rational number between 1/5 and 1/2 is

\huge\text{Answer-}Answer-

\;\;\underline{\boxed{\tt{\;\bf{\green{d) \dfrac{ 7}{20} }}}}}

d)

20

7

________________

\huge\text{Question-}Question-

Identify the rational number between 1/3 and 4/5 is

\huge\text{Answer-}Answer-

\;\;\underline{\boxed{\tt{\;\bf{\green{c) \dfrac{1 7}{30} }}}}}

c)

30

17

________________

\huge\text{Question-}Question-

arrange the rational number -7/10 , -5/8,-2/3 ascending order

\huge\text{Answer-}Answer-

by taking the LCM of 10 , 8 and 3 we got 120

→ -7/10 × 12/12 = -84/120

→ -5/8 × 15/15 = -75/120

→ -2/3 × 40/40 = -80/120

hence ,

-84/120 < -80/120 < -75/120

-7/10 < -2/3 < -5/8

\;\;\underline{\boxed{\tt{\;\bf{\green{b)-7/10 < -2/3 < -5/8 }}}}}

b)−7/10<−2/3<−5/8