Base 60 Number System Concepts

The video tutorial explains how to convert a base 10 number, 12,760, into base 60 and express it in modern sexagesimal form. It covers the concept of place values in base 60, which are powers of 60, and demonstrates the step-by-step process of dividing the base 10 number by decreasing powers of 60 to find the corresponding base 60 values. The tutorial concludes with a verification of the conversion using a calculator to ensure the accuracy of the result.

What is the first step in converting a base 10 number to base 60?

• Subtract the base 10 number from 60.

• Determine the highest power of 60 that divides the number.

• Add 60 to the base 10 number.

• Multiply the base 10 number by 60.

In base 60, what is the place value of 60 to the 1st power?

• 3600's place

• 216,000's place

• 60's place

• 1's place

How do you determine the whole number in the 3600 place value?

• By adding 3600 to the base 10 number.

• By subtracting 3600 from the base 10 number.

• By dividing the base 10 number by 3600.

• By multiplying the base 10 number by 3600.

What is the remainder when 12,760 is divided by 3,600?

• 12,760

• 1,960

• 3,600

• 10,800

How many 60s are there in 1,960?

• 33

• 30

• 34

• 32

What is the remainder when 1,960 is divided by 60?

• 120

• 40

• 16

• 180

What is the whole number in the 1's place value for the number 12,760 in base 60?

• 32

• 33

• 40

• 60

What is the base 60 representation of the number 12,760?

• 33, 32, 40

• 32, 33, 40

• 40, 33, 32

• 33, 40, 32

How can you verify the conversion from base 10 to base 60?

• By adding the base 60 numbers.

• By multiplying the base 60 numbers.

• By converting back to base 10 and checking the result.

• By subtracting the base 60 numbers.

What is the sum of 33 * 3,600, 32 * 60, and 40?

• 3,600

• 1,960

• 10,800

• 12,760