# Shown below is a method to the product 46× 28. i) Check this method for some other two-digit numbers.ii) Explain why this is correct, using algebra. (Recall that any two-digit number can be written 10m + n, as seen in the section, Two-digit numbers of the lesson, Numbers and Algebra, in the class 7 textbook).

i)  ii) We know that we can express any 2-digit number as 10m+n , where m is the digit at tens place and n is the digit at ones place.

So, let (10m+n) and (10x+y) be the two numbers to be multiplied.

(10m+n)(10x+y) = 10m(10x+y)+n(10x+y) = 100 mx +10my +10nx + ny

= (100× mx) + ((m×y)+(n×x))× 10 +(n×y)

Now, carefully observe the above method, you will see that we were finding these terms only and then addition of these terms gives us the required product.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos  Champ Quiz | Algebric Identities46 mins  Discussion on Algebric Identities48 mins  Algebric Expressions and Identities45 mins  Algebraic Expressions and Identities43 mins  Master Algebraic Identities43 mins  Division of Algebraic Expressions36 mins  Smart Revision | Quiz on Algebraic Expression and Identities44 mins  How to Use Algebraic Identities40 mins  Genius Quiz | Algebraic Expressions and Identities30 mins  Multiplication of Algebraic Expression40 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses 