Question
The value of 602 ÷ 7 is __________.
- 80
- 50
- 88
- 86
Hint:
On can use many methods to perform division of two numbers. Some of them to solve division operation are:
1. Division by subtraction(General method)
2.Division by Multiplication(Area Model)
3.Long Division Method(In complicated case)
Apply any one to obtain a solution.
The correct answer is: 86
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 602 ÷ 7 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.
Representation of a block diagram: 000 80 6
602
602
42
000
42
0
Therefore, the required answer is 086 ~ 86
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 3
2 ==6 blocks to construct area block diagram.
Hence, the division process follows the below structure:
000 80 6
| 602 | 602 | 42 |
| 602 | 42 | 0 |
Related Questions to study
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 |
