Question
The value of 252 ÷ 4 is _________.
- 40
- 50
- 63
- 60
Hint:
One can do general division to obtain a solution. But, to be professional one should use area model to obtain solution for division and multiplication of numbers.
There are many methods to perform division, some of them are:
1. Division using subtraction (general method)
2.Using Multiplication and remainders (Area model)
3.Long Division(In complicated case) and so on.
choose any one to solve.
The correct answer is: 63
In Mathematics, an area model is a rectangular model used for calculation of a division and multiplication of numbers. Here, we define quotient and divisor as length and width of a rectangle.
METHOD: One can do division in area model through blocks. we first try to divide the first most number of a dividend with the divisor and replace rest of the places of the dividend as 0 and so on till we get the number that is less than divisor as a remainder.
Answer: As we seen the method for division of numbers using area model then, Our goal is to find 252 ÷ 4 hence, let us try to evaluate through blocks of a area model.
In block representation since only dividend changes I only updated dividend. Divisor remains constant in area model.
Hence, Area model gives area as:
000 60 3
252
252
12
252
12
0
By this way we represent area model.
Hence, we have seen the area model method to calculate the division of two numbers.
For the expression 252 ÷ 4 is evaluated through area model as shown below.
Block table for 252 ÷ 4 is:
000 60 3
| 252 | 252 | 12 |
| 252 | 12 | 0 |
Therefore, the value of 252 ÷ 4 is 063 ~ 63.
we can solve using general subtraction division method also.
Related Questions to study
The value of 845 ÷ 5 is _________.
Performing division of two numbers isn't a big task. But, in area model one should construct block table to solve a problem. It is an easy way of performing division.
Hence, For the given Question 845
5 the division becomes:
100 60 9
| 845 | 345 | 45 |
| 345 | 45 | 0 |
This is the process of division through area model.
The value of 845 ÷ 5 is _________.
Performing division of two numbers isn't a big task. But, in area model one should construct block table to solve a problem. It is an easy way of performing division.
Hence, For the given Question 8455 the division becomes:
100 60 9
| 845 | 345 | 45 |
| 345 | 45 | 0 |
This is the process of division through area model.
The value of 916 ÷ 2 is _________.
To perform a division is pretty simpler task. But, in area model every divisor and Quotient represents length and breadth of a rectangle. That's the reason why area model is called as a division using multiplication.
Performing division need's number of blocks in arranging block diagram. Here, number of blocks is equal to the product of number of digits in the divisor to the number of digits in the dividend.
Hence in evaluating 916 ÷ 2 we need 3
2 =6 blocks to perform a division.
The process of division in area model follows following table:
400 50 8
| 916 | 116 | 16 |
| 116 | 16 | 0 |
The value of 916 ÷ 2 is _________.
To perform a division is pretty simpler task. But, in area model every divisor and Quotient represents length and breadth of a rectangle. That's the reason why area model is called as a division using multiplication.
Performing division need's number of blocks in arranging block diagram. Here, number of blocks is equal to the product of number of digits in the divisor to the number of digits in the dividend.
Hence in evaluating 916 ÷ 2 we need 32 =6 blocks to perform a division.
The process of division in area model follows following table:
400 50 8
| 916 | 116 | 16 |
| 116 | 16 | 0 |
The value of 602 ÷ 7 is __________.
As we discussed earlier, Division of numbers using area model requires block diagram. No of blocks Required is the product of number of digits in dividend to the number of digits in divisor.
Hence, to solve 602 ÷ 7 we need 32 ==6 blocks to construct area block diagram.
Hence, the division process follows the below structure:
000 80 6
| 602 | 602 | 42 |
| 602 | 42 | 0 |
The value of 602 ÷ 7 is __________.
As we discussed earlier, Division of numbers using area model requires block diagram. No of blocks Required is the product of number of digits in dividend to the number of digits in divisor.
Hence, to solve 602 ÷ 7 we need 32 ==6 blocks to construct area block diagram.
Hence, the division process follows the below structure:
000 80 6
| 602 | 602 | 42 |
| 602 | 42 | 0 |
The value of 774 ÷ 3 is ________.
Area model block diagram size depends on number of digits in divisor and dividend. One can obtain number of blocks as product of number of digits in divisor to the number of digits in the dividend.
Hence, In our Question we have got 32= 6 blocks.
Block table creation: 200 50 8
| 774 | 174 | 24 |
| 174 | 24 | 0 |
The value of 774 ÷ 3 is ________.
Area model block diagram size depends on number of digits in divisor and dividend. One can obtain number of blocks as product of number of digits in divisor to the number of digits in the dividend.
Hence, In our Question we have got 32= 6 blocks.
Block table creation: 200 50 8
| 774 | 174 | 24 |
| 174 | 24 | 0 |
