Divisibility by Seven and Beyond

The video explores a method to determine if a number is divisible by seven using a division graph. It demonstrates the process with a large number and explains how to use mental arithmetic and shortcuts. The method is extended to other numbers, such as 13, and practical applications are discussed.

What is the main topic introduced in the video?

• Divisibility by seven

• Multiplication shortcuts

• Divisibility by nine

• Prime numbers

What tool does the speaker use to demonstrate the divisibility method?

• A number line

• A clock face

• A calculator

• A multiplication table

What is the remainder when 3,714,289 is divided by seven using the new method?

• Two

• Zero

• Seven

• Five

What is a division graph used for?

• Determining remainders

• Calculating square roots

• Simplifying multiplication

• Finding prime numbers

How does the division graph help with multiplication by ten?

• It divides the number by ten

• It creates shortcuts for remainders

• It adds ten to the number

• It multiplies the number by two

Which number is used as an example for applying the method to other numbers?

• Five

• Twenty

• Thirteen

• Nine

What is the test for divisibility by nine?

• Subtracting nine from the number

• Adding the digits and reducing to less than nine

• Multiplying the number by nine

• Dividing the number by nine

What is the benefit of using the division graph method?

• It is faster for small numbers

• It requires no calculations

• It provides the remainder and divisibility

• It only works for even numbers

What platform is promoted at the end of the video?

• Coursera

• Khan Academy

• Udemy

• Brilliant

What is the expression 'squaring the circle' used to describe?

• A type of division

• An impossible task

• A simple mathematical problem

• A geometric shape