8th Grade · Expressions & Equations
Renormalize
8.EE.A.4
Definition
To rewrite a number so the coefficient is between 1 and 10, adjusting the power of ten accordingly. Needed after multiplying or adding in scientific notation.
Examples
- 42 × 10⁵ renormalizes to 4.2 × 10⁶.
- 0.6 × 10⁵ renormalizes to 6 × 10⁴.
Key rule
If the coefficient is 10 or more, move the decimal left and add to the exponent; if less than 1, move right and subtract.
Memory hook
Adjust the coefficient back between 1 and 10.