Evaluate the product without multiplying directly: 103 x 107?

Asked by Last Modified  

6 Answers

Learn Mathematics +2 Expansions

Follow 2
Answer

Please enter your answer

Vimala Ramamurthy

Maths Teacher

103 x 107 = (100 + 3)(100 + 7) We know that (x + a)(x + b) = x^2 + (a + b)x + ab Therefore, 103 x 107 = 100^2 + (3 + 7) x 100 + 3 x 7 = 10000 + 1000 + 21 = 11021
Comments
Dislike Bookmark

TEACHING IS MY PASSION-I STILL STRIVE TO BETTER MY TEACHING ABILITIES

Their product is 11021. First add 7 to 103 OR add 3 to 107 we get 110 either way. take this 110 as right portion of our answer 110, now multiply 3 and 7, take this product 21 as right portion of the answer. 21 putting the two portions together, we get the product of 103 and 107 as 11021.
Comments
Dislike Bookmark

TEACHING IS MY PASSION-I STILL STRIVE TO BETTER MY TEACHING ABILITIES

Their product is 11021. First add 7 to 103 OR add 3 to 107 we get 110 either way. take this 110 as left portion of our answer 110, now multiply 3 and 7, take this product 21 as right portion of the answer. 21 putting the two portions together, we get the product of 103 and 107 as 11021.
Comments
Dislike Bookmark

Maths Tutor

103 +3 107 +7 .................... 11021 103 is 3 above base 100 and 107 is 7 above base 100 103+7=107+3=110 and multiply the deficiencies i.e 3 x 7=21. So, 103 107=11021.
Comments
Dislike Bookmark

Tutor

11021.
Comments
Dislike Bookmark
107x103 = (105+2)x(105-2) = 105^2 - 2^2 = 11025-4 = 11021 Applying formula (a+b)x(a-b) = a^2-b^2. Here, a=105 & b=2
Comments
Dislike Bookmark

View 4 more Answers

Related Questions

Find the greatest number of 5 digits exactly divisible by 12, 15 and 36.
99900 is divisible by 12,15,36
Piyush
0 0
9
What is the difference between histogram and bar diagrams?
Bar Chart:- The columns are positioned over a label that represents a categorical variable. The height of the column indicates the size of the group defined by the categories. Histogram:- The columns...
Vivek
0 0
7
What are boolean algebra laws?
Boolean algebra laws are 1)commutative law. 2)assosiative law. 3)distributive law. 4)demorgon's law.
Gagandeep
0 0
7
Had Ravita scored 10 more marks in her Mathematics test out of 30 marks, 9 times these marks would have been the square of her actual marks. How many marks did she get in the test?
Let Ravita's score be x out of 30. We first form an equation based on the information provided in the question. The equation turns out to be 9(x+10)=x^2 -> x^2-9x-90=0 -> (x-15)(x+6)=0 SO, the possible...
Swapna
0 0
7
What I should do study for coming in merit list of 10th board exam?
Determination and regularity are key points. Make plan, make small achievable goal and do it for that. Make schedule of daily and must follow with giving them high preference.
Hole

Now ask question in any of the 1000+ Categories, and get Answers from Tutors and Trainers on UrbanPro.com

Ask a Question

Related Lessons

Rotation of a Shape
* Rotation is nothing but rotating an object through an angle of 90 degrees, 180 degrees, 270 degrees either clockwise or anticlockwise. * For rotating 90 degrees clockwise and anticlockwise the steps...

Rasheedahamed F

0 0
0
Class-10 L-5 Arithmetic Progressions Ex-5.2 Q10

Ashish bhatia

0 0
0
Splitting and Solving Equations by Factorisation

Saurav

0 0
0
Class-10 L-8 Introduction to Trigonometry Ex-8.1 Q3

Ashish bhatia

0 0
0
Class-10 L-2 Polynomials Ex-2.2 Q2 (iii)

Ashish bhatia

0 0
0

Recommended Articles

Meet Mohammad Wazid, a skilled trainer for...

Mohammad Wazid is a certified professional tutor for class 11 students. He has 6 years of teaching experience which he couples with an energetic attitude and a vision of making any subject easy for the students. Over the years he has developed skills with a capability of understanding the requirements of the students. This...

Read full article >

Meet Raghunandan.G.H, a B. Tech Tutor from...

Raghunandan is a passionate teacher with a decade of teaching experience. Being a skilled trainer with extensive knowledge, he provides high-quality BTech, Class 10 and Class 12 tuition classes. His methods of teaching with real-time examples makes difficult topics simple to understand. He explains every concept in-detail...

Read full article >

Quest Academy - Institute of the month

Quest Academy is a professional Bangalore based NEET and JEE (Main + Advanced) training institute. The academy was incorporated in 2015 to cater to the needs of students, who aim to crack competitive exams by connecting with the best brains around. The institute helps students enhance their skills and capabilities through...

Read full article >

Meet Sandhya R, a B.Sc tutor from Bangalore

Sandhya is a proactive educationalist. She conducts classes for CBSE, PUC, ICSE, I.B. and IGCSE. Having a 6-year experience in teaching, she connects with her students and provides tutoring as per their understanding. She mentors her students personally and strives them to achieve their goals with ease. Being an enthusiastic...

Read full article >

Find Class X Tuition near you
Class X Tuition in Delhi
Class X Tuition in Bangalore
Class X Tuition in Hyderabad
Class X Tuition in Kolkata
Class X Tuition in Chennai
Class X Tuition in Mumbai
Class X Tuition in Pune
Class X Tuition in Noida
Class X Tuition in Lucknow
Class X Tuition in Gurgaon
Online Tuition Class 10

Looking for Class 10 Tuition ?

Learn from the Best Tutors on UrbanPro

Are you a Tutor or Training Institute?

Join UrbanPro Today to find students near you