Question

Are

953, 9534, 900, 452

divisible by

2

? Also, check by actual division.

Accepted Answer

We know that a number is divisible by $2$ if it has any of the digits $0, 2, 4, 6$ or $8$ in its unit's place.

So, we get, $953$ is not divisible by $2$ because the unit's digit is $3$ , which is not one among the digits $0, 2, 4, 6$ and $8 .$

Actual division is shown below:

$2) 953 (476 8 - 15 14 - 13 12 - 1$

We observe that when we divide $953$ by $2$ , we obtain remainder $1$ , which is not $0$ .

[A number is completely divisible by another number, when it leaves zero as remainder].

Therefore, by actual division also, we observe that $953$ is not divisible by $2 .$

Now, we see that $9534$ is divisible by $2$ because the unit's digit is $4$ , which is one among the digits $0, 2, 4, 6$ and $8 .$

Actual division is shown below:

$2) 9534 (4767 8 - 15 14 - 13 12 - 14 14 - 0$

We observe that when we divide $9534$ by $2$ , we obtain remainder $0$ .

[A number is completely divisible by another number, when it leaves zero as remainder].

Therefore, by actual division also, we observe that $9534$ is divisible by $2 .$

Now, we see that $900$ is divisible by $2$ because the unit's digit is $0$ , which is one among the digits $0, 2, 4, 6$ and $8 .$

Actual division is shown below:

$2) 900 (450 8 - 10 10 - 00 00 - 0$

We observe that when we divide $900$ by $2$ , we obtain remainder $0$ .

[A number is completely divisible by another number, when it leaves zero as remainder].

Therefore, by actual division also, we observe that $900$ is divisible by $2 .$

Now, we see that $452$ is divisible by $2$ because the unit's digit is $2$ , which is one among the digits $0, 2, 4, 6$ and $8 .$

Actual division is shown below:

$2) 452 (226 4 - 05 04 - 12 12 - 0$

We observe that when we divide $452$ by $2$ , we obtain remainder $0$ .

[A number is completely divisible by another number, when it leaves zero as remainder].

Therefore, by actual division also, we observe that $452$ is divisible by $2 .$

Telangana Board Solutions for Chapter: Playing with Numbers, Exercise 1: Exercise 1

Telangana Board Mathematics Solutions for Exercise - Telangana Board Solutions for Chapter: Playing with Numbers, Exercise 1: Exercise 1

Questions from Telangana Board Solutions for Chapter: Playing with Numbers, Exercise 1: Exercise 1 with Hints & Solutions

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