Understanding Base Conversion

The video tutorial explains how to determine the base in which the number 143 is equal to 255 in base 10. It begins with a review of base 10 place values and then explores different bases, starting with base 11 and moving to base 13, before finally finding that base 14 is the correct base where 143 equals 255 in base 10. The process involves calculating the equivalent base 10 values for 143 in each base until the correct base is found.

What is the main goal of the problem discussed in the video?

• To find the base in which 143 equals 255 in base 10

• To convert 255 from base 10 to base 2

• To understand the concept of base 10

• To learn how to multiply numbers

In base 10, what is the place value of the digit 5 in the number 255?

• Ones

• Tens

• Thousands

• Hundreds

What is the expanded form of 255 in base 10?

• 2 x 1000 + 5 x 100 + 5 x 10

• 2 x 100 + 5 x 10 + 5 x 1

• 2 x 10 + 5 x 10 + 5 x 1

• 2 x 10 + 5 x 1 + 5 x 0

Why was base 11 not suitable for the conversion of 143 to 255 in base 10?

• It resulted in a value greater than 255

• It resulted in a value less than 255

• It resulted in a non-integer value

• It resulted in a negative value

What was the base 10 equivalent of 143 in base 11?

• 255

• 168

• 224

• 196

What was the base 10 equivalent of 143 in base 13?

• 255

• 196

• 168

• 224

Why was base 13 not suitable for the conversion of 143 to 255 in base 10?

• It resulted in a non-integer value

• It resulted in a negative value

• It resulted in a value greater than 255

• It resulted in a value less than 255

What is the base in which 143 equals 255 in base 10?

• Base 13

• Base 12

• Base 14

• Base 11

What is the base 10 equivalent of 143 in base 14?

• 255

• 168

• 224

• 196

What calculation confirms that 143 in base 14 equals 255 in base 10?

• 1 x 169 + 4 x 13 + 3 x 1

• 1 x 121 + 4 x 11 + 3 x 1

• 1 x 196 + 4 x 14 + 3 x 1

• 1 x 100 + 4 x 10 + 3 x 1