Math Problem Statement
solve the following proble
Solution
The table shown appears to be a representation of a number in a certain positional numeral system. Let's break down how to solve the problem based on the table.
The table has columns labeled with "Place Value" and "Number." Here are the values:
Place Value | 128 | ___ | 16 | ___ | 1 |
---|---|---|---|---|---|
Number | 2 | 1 | 0 | 0 | 2 |
A) Give the base for the place value table above.
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The place values (128, 16, 1) suggest that these values are powers of a certain base.
Since the place values are powers of 2, this table is in base 4 or quaternary system, as each step is skipping two powers of 2, based on the values shown.
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Math Problem Analysis
Mathematical Concepts
Place Value
Number Systems
Base Systems
Formulas
Place value in base systems is represented as powers of the base.
128 = 2^7, 16 = 2^4, 1 = 2^0
Theorems
Positional numeral system based on powers of a base
Suitable Grade Level
Grades 8-10