Mathematics
Easy

Question

# The value of 916 ÷ 2 is _________.

Hint:

## 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 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