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Understanding Base 12 and Base 10 Conversions

Understanding Base 12 and Base 10 Conversions

Assessment

Interactive Video

Mathematics

7th - 10th Grade

Practice Problem

Hard

CCSS
4.NBT.A.2

Standards-aligned

Created by

Aiden Montgomery

FREE Resource

Standards-aligned

CCSS.4.NBT.A.2
The video tutorial explains how to convert a number from base 12 to base 10, using the example of finding a digit in base 12 that makes the number equal to 423 in base 10. It covers the concept of place values in different bases, the use of letters to represent digits greater than 9 in bases larger than 10, and the step-by-step process of solving for an unknown digit in base 12. The tutorial concludes with a discussion on the notation used for bases larger than 10.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the place value of the digit '4' in the number 423 in base 10?

Ones place

Tens place

Thousands place

Hundreds place

Tags

CCSS.4.NBT.A.2

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In base 12, what is the place value of the digit represented by the variable x?

Twelfths place

Thousands place

Ones place

Hundreds place

Tags

CCSS.4.NBT.A.2

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do we use letters like 'A' and 'B' in bases larger than 10?

To make calculations easier

To represent numbers greater than 9

To confuse students

To avoid using numbers

Tags

CCSS.4.NBT.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in converting a number from base 12 to base 10?

Divide the number by 12

Add all the digits together

Multiply each digit by its place value

Subtract the digits from each other

Tags

CCSS.4.NBT.A.2

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What equation is set up to find the unknown digit x in base 12?

2 * 12 + x * 144 + 3 * 1 = 423

2 * 144 + x * 12 + 3 * 1 = 423

2 * 144 + x * 1 + 3 * 12 = 423

2 * 1 + x * 12 + 3 * 144 = 423

Tags

CCSS.4.NBT.A.2

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the value of x when the equation is solved?

12

11

10

9

Tags

CCSS.4.NBT.A.2

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the number 11 represented in base 12 to avoid confusion?

As the number 11

As the letter B

As the letter A

As the number 10

Tags

CCSS.4.NBT.A.2

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