Chapter Review

What is the base of 5⁷?

What is the exponent of 5⁷?

Compute $4^5+3^2$.

Convert the Hindu-Arabic number into expanded form: 4,201.

Convert the expression to a Hindu-Arabic numeral: $6\times <!--\; \times \; -->{10}^3+3\times <!--\; \times \; -->{10}^2+7\times <!--\; \times \; -->{10}^1+5\times <!--\; \times \; -->{10}^0$.

Which systems—Hindu-Arabic, Roman, Mayan, or Babylonian—are additive systems?

Which systems—Hindu-Arabic, Roman, Mayan, or Babylonian—are positional systems?

Which systems—Hindu-Arabic, Roman, Mayan, or Babylonian—use a 0?

In the Babylonian system, what are the place values based on?

In the Mayan system, what are the place values based on?

Convert the Babylonian numeral to a Hindu-Arabic numeral.

Convert the Mayan numeral to a Hindu-Arabic numeral.

Convert the Roman numeral MMCDXLVII into a Hindu-Arabic numeral.

Convert the Hindu-Arabic numeral 394 to a Roman numeral.

List the numbers from 0 to 100 in base 5.

In base 8, what is the place value of the 3 in the number 638₈?

How many symbols are needed for a base 17 system?

What does it mean for a number to be in base 6?

What symbols are used in a base 12 system?

When converting from a base 10 number to a base 2 number, would the number of digits decrease?

Convert 311₅ to base 10.

Convert 45₁₂ to base 10.

Convert 1001₂ to base 10.

Convert 459 to base 8.

Convert 1198 to base 12.

Convert 38 to base 2.

When converting from base 10 to base 4, the result obtained was 142₄. How can you tell an error was made?

Create the addition table for base 5.

How many addition rules are there for a base 7 system?

Calculate 34₅ + 44₅.

Calculate A7₁₂ + 88_12.

Calculate 541₆ − 233_6.

Calculate 5B₁₂ − 1A_12.

When adding in base 8, the result 911₈ is found. How do we know a mistake was made?

What is the process for creating the multiplication table for a base other than 10?

Create the multiplication table for base 7.

How many multiplication rules are there in a base 3 system?

Calculate ${14}_7\times <!--\; \times \; -->{25}_7$.

Calculate ${67}_{12}\times <!--\; \times \; -->3{\text{B}}_{12}$.

Calculate ${42}_7÷<!--\; ÷\; -->5_7$.

Calculate ${38}_{12}÷<!--\; ÷\; -->{\text{B}}_{12}$.

When multiplying ${14}_{12}\times <!--\; \times \; -->{10}_{12}$, the result 140 is found. How do we know a mistake was made?