place value

In this edition of ‘Adventures’ we study a few miscellaneous problems, mostly from the Pre-Regional Mathematics Olympiad (PRMO; this year’s PRMO was conducted on August 19 in centres all over the country). As usual, we pose the problems first and present solutions later.

We have often seen that what we think happens the way we wanted it to happen but at times the results are much better than what we expected.

Read more about G Numbers.

This article deals with a simple test for divisibility by 7 for natural numbers having a minimum of four digits. Here, a case of a six-digit number is proved initially and similar proofs follow for other higher-digit numbers.

Invite your middle school students to this set of problems.

Bharat Learn (BL) is a NGO that works with the aim of empowering teachers and students to enhance the learning outcomes of the students. BL uses its Film Based Teaching Methodology (FBTM®) to convert existing school curriculum into video based teaching-learning content and makes it available to the teachers and students free and freely.

There is a well-known test for divisibility by powers of 2: to check the divisibility of a number M by 2n, we form a new number M' using only the last n digits of M and then examine the divisibility of that number (i.e., M') by 2n. The test works because of the easily-proved fact that M is divisible by 2 if and only if M' is divisible by 2n.

Here are more examples of multiplication for your students to strengthen their learning of the concept.

Multiplication with multiple digit numbers is made easy with this video from Khan Academy.

This is a mathematics book with a difference. There are more stories here than problems!
Written by Mala Kumar and illustrated by Angie and Upesh, "Happy Maths - 1" looks at numbers and is intended for children who can read independently.
 

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