Question

fill in the largest unit digit to make them divisible by the numbers on the left​

Answer 1

Answer:

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Step-by-step explanation:

Plot A(4,0),B(0,4) and C(-4,0) on graph plot D so that ABCD is a rhombus.

Answer 2

To find:  the largest unit digit to make them divisible by the numbers on the left

Part.1)

Know that, a number is divisible by 4 if last two digits of the number is divisible by 4.

Observe that, the given number is 125__.

Understand that in order for the number to be divisible by 4 last two digit should be divisible by 4, so the largest units digit will be 6.

Part.2)

Know that, a number is divisible by 8 if last three digits of the number is divisible by 4.

Observe that, the given number is 3673__.

Understand that in order for the number to be divisible by 4 last three digit should be divisible by 4, so the largest units digit will be 6.

Part.3)

Know that, a number is divisible by 11 if the difference between the sum of the digits at the odd and even places equals 0 or divisible by 11, then the number is divisible by 11.

Observe that, the given number is 1496__.

$\[\begin{array}{l}\left( {1 + 9 + x} \right) - \left( {4 + 6} \right) = 0\,or11\\ \Rightarrow x = 0\end{array}\]$

Therefore, the largest units digit will be 0.

Part.3)

Know that, a number is divisible by 12 then the number should be divisible by 3 and 4 both.

Observe that, the given number is 108__.

Therefore, the largest units digit will be 0.

Part.4)

Know that, a number is divisible by 11 if the difference between the sum of the digits at the odd and even places equals 0 or divisible by 11, then the number is divisible by 11.

$\[\begin{array}{l}\left( {1 + 6 + x} \right) - \left( {5 + 2} \right) = 0\,or11\\ \Rightarrow x = 0\end{array}\]$

Observe that, the given number is 1562__.

Therefore, the largest units digit will be 0.

Hence, the completed fill up is as follows: