Math Problem Statement

Approximate the number to the nearest (a) integer and (b) tenth: cube root of 25.

Solution

The value of 253\sqrt[3]{25} is approximately 2.9242.924.

  • (a) To the nearest integer, the value is 33.
  • (b) To the nearest tenth, the value is 2.92.9.

Would you like more details or explanations? Here are some related questions to further explore:

  1. How is the cube root of a number calculated?
  2. What is the difference between rounding to the nearest integer and to the nearest tenth?
  3. How do you calculate cube roots for larger or non-integer numbers?
  4. Can we approximate roots manually without a calculator?
  5. What are some common uses of cube roots in real-life applications?

Tip: When approximating roots, use a calculator with a "power" function for precise values.

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Math Problem Analysis

Mathematical Concepts

Cube Roots
Approximations
Rounding

Formulas

Cube root formula: ∛x

Theorems

Rounding theorem

Suitable Grade Level

Grades 7-10