Question
Erik went to the soccer game, he noticed that there were 23 rows of bleacher seats. He counted one row of bleachers and saw that there were 36 seats in each row. The total seats are there is?
- 923
- 828
- 820
- 882
Hint:
Erik went to the soccer game he noticed, there were 23 rows and each row having 36 seats . To find total seats it were easy multiplication . Use partial product concept to solve the question.
The correct answer is: 828
Here, we have to find the total number of seat .
Firstly, we have 23 rows, each row having 36 seats.
Then ,
1 row = 36 seats
1 x 23 row = 36 x 23 seats
Now we know the total seat in 23 rows were 36 x 23 seats , to find the product we use partial product concept.
First, we write the first number 36 which written as 30 and 6. [ 30 because 3 it is at tens place , 6 is at ones place]
And so , the other number 23 which written down as 20 and 3 . [ 20 because 2 it at tens place , 3 at ones place]
So there are two term each having two number tens and ones.
Firstly multiply first number tens digit with second number both tens digit and one digit.
And, multiply second number of tens digit and ones digit with first number ‘s one digit partially.
Now, we multiply first ,
30 x 20 = 600 [multiply tens digit of multiplier with tens digit of multiplicand]
30 x 3= 90 [multiply tens digit of multiplier with ones digit of multiplicand]
20 x 6 = 120 [multiply tens digit of multiplier with ones digit of multiplicand]
6 x 3 = 36 [ multiply ones digit of multiplier with one digit of multiplicand]
Now add all the partial product of find the solution.
36 x 26 = 600 + 90 + 120 + 18
34 x 64 = 828
Therefore the total seats are 828.
The correct answer is 828 (option (b)) .
Or,
Rows = 23
Each row = 32 seats
Total seats = 23 x 32
= 828
Here the 23 row having 36 seats to find total seat you just multiply both of them. For multiplication you can use any method , and one of them are partial product , which break your product and makes it easy to solve. Apply same type of concept in similar questions.
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