Question

Fill in the boxes:
(a) 3 times 8 = [ ] times 4.
(b) 4 times 3 = 2 times [ ].
(c) 6 times [ ] = 8 times 3.
(d) [ ] times 4 = 8 times 5.
and please explain​

Answer 1

Answer:

a 3 times 8=6 times 4

b 4 times 3=2 times 6

c 6 times 4=8 times 3

d 10 times 4=8 times 5

Answer 2

$\Huge\mathfrak{{\orange{a}}{\blue{n}}{\pink{s}}{\purple{w}}{\red{e}}{\green{r}}:}$

$\bf{~~~(a)~~3~times~8=[~~]~times~4}$

$\bf{Let~the~unknown~number~be~‛x’}$

$\sf{:→3×8=x×4}$

$\sf{:→24=4x}$

$\sf{:→4x=24}$

$\sf{:→x={\dfrac{24}{4}}}$

$\sf{:→x=\color{red}{\underline{\boxed{\bf{6}}}}}$

$\bf\therefore{The~unknown~number~is~6}$

$\bf{Verification:}$

$\sf{3×8=24~~also~~6×4=24}$

――――――――――――――――――――――――――――

$\bf{~~~(b)~~4~times~3=2~times~[~~]}$

$\bf{Let~the~unknown~number~be~‛x’}$

$\sf{:→4×3=2×x}$

$\sf{:→12=2x}$

$\sf{:→2x=12}$

$\sf{:→x={\dfrac{12}{2}}}$

$\sf{:→x=\color{red}{\underline{\boxed{\bf{6}}}}}$

$\bf\therefore{The~unknown~number~is~6}$

$\bf{Verification:}$

$\sf{4×3=12~~also~~2×6=12}$

――――――――――――――――――――――――――――

$\bf{~~~(c)~~6~times~[~~]=8~times~3}$

$\bf{Let~the~unknown~number~be~‛x’}$

$\sf{:→6×x=8×3}$

$\sf{:→6x=24}$

$\sf{:→x={\dfrac{24}{6}}}$

$\sf{:→x=\color{red}{\underline{\boxed{\bf{4}}}}}$

$\bf\therefore{The~unknown~number~is~4}$

$\bf{Verification:}$

$\sf{8×3=24~~also~~6×4=24}$

――――――――――――――――――――――――――――

$\bf{~~~(d)~~[~~]~times~4=8~times~5}$

$\bf{Let~the~unknown~number~be~‛x’}$

$\sf{:→x×4=8×5}$

$\sf{:→4x=40}$

$\sf{:→x={\dfrac{40}{4}}}$

$\sf{:→x=\color{red}{\underline{\boxed{\bf{10}}}}}$

$\bf\therefore{The~unknown~number~is~10}$

$\bf{Verification:}$

$\sf{8×5=40~~also~~10×4=40}$

$\sf{ }$

$\bf{{\underline{\underline{Hence~verified}}}~{\Large{✓}}}$