Evaluating Expressions with Cube Roots
Grade 7 students in Big Ideas Math Advanced 2 (Chapter 7: Real Numbers and the Pythagorean Theorem) learn to evaluate expressions containing cube roots by applying order of operations. The cube root is evaluated first before performing multiplication, division, addition, or subtraction.
Key Concepts
To evaluate expressions containing cube roots, follow the order of operations: first find the cube root, then perform multiplication, division, addition, or subtraction as indicated. For expressions like $a + \sqrt[3]{b}$, $a \cdot \sqrt[3]{b}$, or $\frac{\sqrt[3]{a}}{b}$, evaluate the cube root first.
Common Questions
How do you evaluate expressions with cube roots in 7th grade?
Find the cube root first (following order of operations), then perform any remaining operations. For example, 5 + cube_root(27) = 5 + 3 = 8.
What is a cube root in math?
The cube root of a number is the value that, when multiplied by itself three times, gives that number. For example, the cube root of 64 is 4 because 4 x 4 x 4 = 64.
What order of operations applies to cube roots?
Cube roots are evaluated like other radicals before multiplication, division, addition, and subtraction. They are at the same level as exponents in PEMDAS.
What chapter in Big Ideas Math Advanced 2 covers evaluating expressions with cube roots?
Chapter 7: Real Numbers and the Pythagorean Theorem in Big Ideas Math Advanced 2 (Grade 7) covers evaluating expressions with cube roots.
What are perfect cubes in 7th grade math?
Perfect cubes are numbers whose cube roots are whole numbers: 1, 8, 27, 64, 125, 216 (1^3, 2^3, 3^3, 4^3, 5^3, 6^3).