Converting Base 10 Numbers to Different Bases

This video tutorial explains how to convert base 10 numbers to other bases using a calculator method. It covers the concept of place values in different bases and provides step-by-step examples of converting numbers from base 10 to bases 3 and 7. The tutorial aims to help learners understand the process of base conversion and verify their results.

What is the main focus of the lesson on converting base 10 numbers?

• Multiplying numbers in base 10

• Understanding fractions in base 10

• Learning to add numbers in base 10

• Using a calculator to convert numbers to different bases

In base 5, what does the place value 'five to the second' represent?

• Ones

• Fives

• Twenty-fives

• Hundreds

In base 6, what does the place value 'six to the first' represent?

• Ones

• Sixes

• Hundreds

• Thirty-sixes

What is the first step in the calculator method for converting base 10 numbers?

• Subtract the base from the number

• Add the base to the number

• Find the highest power of the base that divides the number

• Multiply the number by the base

What is the purpose of multiplying the decimal part by the base in the calculator method?

• To add the base to the number

• To convert the number to base 10

• To find the next whole number part

• To subtract the base from the number

What is the final step in the calculator method for base conversion?

• Divide the number by the base

• Subtract the base from the number

• Multiply the number by the base

• Add all the whole number parts

When converting 214 to base 3, what is the highest power of 3 used?

• Three to the first

• Three to the second

• Three to the third

• Three to the fourth

What is the base 3 representation of the number 214?

• 21221

• 22112

• 21212

• 12221

In the example of converting 13,967 to base 7, what is the first digit in the base 7 representation?

• Zero

• Two

• Seven

• Five

What is the base 7 representation of the number 13,967?

• 55502

• 55052

• 50552

• 55520