Understanding Number Sequences and Bases

Understanding Number Sequences and Bases

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

CCSS
RI.11-12.9, 2.NBT.A.1B, 2.NBT.A.3

+7

Standards-aligned

Created by

Olivia Brooks

FREE Resource

Standards-aligned

CCSS.RI.11-12.9
,
CCSS.2.NBT.A.1B
,
CCSS.2.NBT.A.3
CCSS.6.NS.C.6A
,
CCSS.5.NBT.A.2
,
CCSS.4.OA.B.4
,
CCSS.RI.9-10.9
,
CCSS.RL.11-12.9
,
CCSS.RL.9-10.9
,
CCSS.RL.K.6
,
The video explores the number 82,000, highlighting its unique property of being expressible in ones and zeros across bases 2 to 5. It delves into the concept of number bases, explaining how numbers can be represented differently depending on the base. The video also discusses the open problem of finding another number with similar properties in higher bases. Additionally, a book recommendation is provided for 'How Not to be Wrong' by Jordan Ellenberg, praised for its mathematical insights and humor.

Read more

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the significance of the number 82,000 in the sequence discussed?

It is the smallest number that can be written with ones and zeros in bases 2 to 5.

It is the largest number in the sequence.

It is the first number in the sequence.

It is a prime number.

Tags

CCSS.2.NBT.A.1B

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In base 10, what does the number 231 represent?

Two lots of 1, three lots of 10, and one lot of 100

Two lots of 10, three lots of 100, and one lot of 1

Two lots of 100, three lots of 10, and one lot of 1

Two lots of 10, three lots of 1, and one lot of 100

Tags

CCSS.2.NBT.A.3

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the number 231 represented in base 5?

1101

231

1411

1023

Tags

CCSS.6.NS.C.6A

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the representation of 82,000 in base 2?

10111000

110001100

101000000010100

11011111001

Tags

CCSS.5.NBT.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which base does not allow 82,000 to be written with only ones and zeros?

Base 5

Base 6

Base 3

Base 2

Tags

CCSS.4.OA.B.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the smallest number that can be written with ones and zeros in bases 2 and 3?

2

3

4

5

Tags

CCSS.RI.11-12.9

CCSS.RI.9-10.9

CCSS.RL.11-12.9

CCSS.RL.9-10.9

CCSS.RL.K.6

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the main theme of the book 'How Not to be Wrong'?

The history of mathematics

The hidden mathematics of everyday life

Advanced calculus techniques

The biography of a famous mathematician

Tags

CCSS.RI.11-12.9

CCSS.RI.9-10.9

CCSS.RL.11-12.9

CCSS.RL.9-10.9

CCSS.RL.K.6

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