Share
Ordering Numbers: Scientific Notation and Standard Form
Published on March 19, 2026
Pre-Algebra
Order numbers presented in standard form, scientific notation (e.g., 2.1 x 10^-2), and E-notation (e.g., 8.06E3) from least to greatest by converting them to decimals.
Question
Answer
Here is the step-by-step solution to order the given numbers from least to greatest.
The numbers to order are:
-
-
-
-
(which means )
Step 1: Convert all numbers to standard decimal notation for easy comparison.
-
: This is already in standard form: . -
: Multiplying by moves the decimal point 2 places to the left: -
: Multiplying by moves the decimal point 5 places to the right: -
(or ): Multiplying by moves the decimal point 3 places to the right:
Step 2: List the numbers in standard form:
Step 3: Order the decimal numbers from least to greatest.
Comparing the values:
-
is the smallest. -
is next. -
is next. -
is the largest.
Step 4: Match the ordered standard forms back to their original notation.
- Least:
- Second:
- Third:
- Greatest:
Final Order (Least to Greatest):
The required arrangement in the boxes is:
| Least | Greatest | ||
|---|---|---|---|
|
|
|
|
|