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type a digit that makes this statement true.7458__4 is divisible by four

Sagot :

There are 5 numbers that can make the above statement true. They are [tex]\boxed{0,\:2,\:4,\:6\:and\:8}[/tex].

[tex]\longrightarrow{\green{}}[/tex]  [tex]\sf\red{745804}[/tex], [tex]\sf\purple{745824}[/tex], [tex]\sf\blue{745844}[/tex], [tex]\sf\pink{745864}[/tex], [tex]\sf\orange{745884}[/tex].

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] \frac{745804}{4} = 186451 \\ \frac{745824}{4} = 186456 \\ \frac{745844}{4} = 186461 \\ \frac{745864}{4} = 186466 \\ \frac{745884}{4} = 186472[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

A number is divisible by 4 when the last two digits are a multiple of 4
So 04, 24, 44, 64, 84 are all valid final pairs

This is because all hundreds are divisible by 4