Exploring the Sum of Odd Integers

Exploring the Sum of Odd Integers

Assessment

Interactive Video

Mathematics

1st - 5th Grade

Hard

Created by

Sophia Harris

FREE Resource

In this video, Jonathan Lambert from the National College of Ireland presents a proof that the sum of two odd numbers is always an even number. The video begins with an introduction to the topic and the objective of the proof. It then explains the definition of odd numbers using the division algorithm. The proof is set up by defining two odd integers and proceeds by adding these numbers together, simplifying the expression, and concluding that the result is an even number. The video ends with closing remarks and thanks from the presenter.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main goal of the video tutorial?

To prove that the sum of two even numbers is odd

To demonstrate that all numbers are even

To discuss the properties of prime numbers

To prove that the sum of two odd numbers is even

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What must be true for a number to be considered odd according to the division algorithm?

It is divisible by 2 without any remainder

It has a remainder of 1 when divided by 2

It cannot be divided by 2

It has a remainder of 0 when divided by 2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the proof, what form do the variables a and b take?

a = 2m and b = 2n

a = m/2 and b = n/2

a = 2m + 1 and b = 2n + 1

a = 2m - 1 and b = 2n - 1

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What mathematical property is used to define odd numbers?

Addition

Multiplication

Division

Subtraction

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the division algorithm help to establish about odd numbers?

They are divisible by 3

They have a remainder of 1 when divided by 2

They can be divided by 2 without remainder

They are always greater than even numbers

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the sum a + b simplify to in the proof?

2(m + n + 1)

2m + 2n

m + n

2m + 2n + 2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of adding two odd numbers according to the proof?

An odd number

An even number

A prime number

A composite number

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