Understanding Base 60 Number System

The video tutorial explains how to convert a base 60 number into a base 10 number. It begins by introducing the base 60 system and its place values, which are powers of 60. The tutorial then demonstrates the conversion process by multiplying each digit by its respective place value and summing the results. It also covers simplifying fractions and converting them to decimal form, rounding to three decimal places. The tutorial concludes with a summary of the conversion process.

What is the significance of the semicolon in the base 60 number 19, 4; 22?

• It indicates the end of the number.

• It has no special significance.

• It separates the integer part from the fractional part.

• It is used to separate thousands.

In base 60, what is the place value of the digit immediately to the left of the semicolon?

• 60^2 or 3600's place

• 60^-1 or 1/60th place

• 60^1 or 60's place

• 60^0 or 1's place

How do you determine the base 10 value of a digit in base 60?

• Divide the digit by its place value.

• Multiply the digit by 10.

• Multiply the digit by its place value in base 60.

• Add the digit to its place value.

What is the base 10 equivalent of 19 in the 60's place?

• 1140

• 19

• 1200

• 60

What is the base 10 equivalent of 4 in the 1's place?

• 400

• 4

• 60

• 40

How is the fractional part 22/60 simplified?

• By multiplying both numerator and denominator by 2.

• By dividing both numerator and denominator by 2.

• By adding 2 to both numerator and denominator.

• By subtracting 2 from both numerator and denominator.

What is the simplified form of 22/60?

• 22/120

• 22/30

• 11/30

• 11/60

What is the decimal approximation of 11/30 rounded to three decimal places?

• 0.365

• 0.368

• 0.366

• 0.367

What is the final base 10 value of the number 19, 4; 22 base 60?

• 1144.365

• 1144.368

• 1144.366

• 1144.367

Why is it important to round the decimal to three decimal places?

• To match the requirements of the problem.

• To make the number easier to read.

• To ensure precision in calculations.

• To avoid errors in conversion.