Question
The value of 916 ÷ 2 is _________.
- 208
- 300
- 450
- 458
Hint:
One can solve division operation in many ways. some of the finest methods offered in mathematics are:
1. Division using Subtraction(General method)
2. Division using Multiplication(Area model)
3. Long Division(In complicated cases)
The correct answer is: 458
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 916 ÷ 2 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.
Area model representation for 916 ÷ 2 :
400 50 8
916
116
16
116
16
0
Hence, 916 ÷ 2 gives 458.
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 |
Related Questions to study
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 |
