Table of cubes from 1 to 50
Understand the Problem
The question is presenting a table of the cubes of numbers from 1 to 50, displaying the resulting values for each number.
Answer
The cubes of numbers from 1 to 50 range from $1^3 = 1$ to $50^3 = 125000$.
Answer for screen readers
The table of cubes from 1 to 50 shows the values for each number cubed:
- $1^3 = 1$
- $2^3 = 8$
- $3^3 = 27$
- ...
- $50^3 = 125000$
Steps to Solve
- Understand the Concept of Cubes
The cube of a number $n$ is calculated as $n^3$. This means multiplying the number by itself three times:
$$ n^3 = n \times n \times n $$
- Calculate the Cube for Each Number up to 50
You can create a table by calculating the cube for each integer from 1 to 50. For instance:
-
For $1^3$: $$1 \times 1 \times 1 = 1$$
-
For $2^3$: $$2 \times 2 \times 2 = 8$$
Continue this process for all numbers up to 50.
- Create the Final Table
Once all cubes are calculated, arrange them in a table format displaying each number with its corresponding cube.
- Verification
Double-check calculations for accuracy by recalculating a few selected cubes:
- $3^3 = 27$
- $10^3 = 1000$
- $50^3 = 125000$
The table of cubes from 1 to 50 shows the values for each number cubed:
- $1^3 = 1$
- $2^3 = 8$
- $3^3 = 27$
- ...
- $50^3 = 125000$
More Information
Cubes grow quickly; for instance, $10^3 = 1000$ while $50^3 = 125000$, showing the rapid increase as numbers rise. Understanding cubes is essential for advanced mathematics, including volume measurements and algebra.
Tips
- Incorrect Calculations: Skipping steps or miscalculating a cube. Always double-check.
- Not Understanding Cubes: Confusing cubes with squares. Remember that cubing involves three multiplications.
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