Math Problem Statement
How do you write 523,000 in scientific notation?
Solution
To write 523,000 in scientific notation, follow these steps:
-
Move the decimal point: Start by writing 523,000 as (move the decimal point 5 places to the left).
-
Count the number of places the decimal moved: Since the decimal moved 5 places, this gives you the exponent for the power of 10.
-
Write it in scientific notation: Combine the new number with the exponent .
Thus, 523,000 in scientific notation is:
Would you like further clarification or examples? Here are some related questions you could explore:
- How do you convert a very small number like 0.00032 to scientific notation?
- What is the difference between scientific notation and standard form?
- How do you multiply two numbers in scientific notation?
- How do you divide two numbers in scientific notation?
- What are the rules for adding and subtracting numbers in scientific notation?
Tip: In scientific notation, the exponent on 10 tells you how many places to move the decimal point. Positive exponents mean the number is greater than 1, and negative exponents indicate a number less than 1.
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Scientific Notation
Place Value
Exponents
Formulas
Scientific notation formula: a × 10^n where a is a number between 1 and 10, and n is an integer
Theorems
Scientific Notation
Suitable Grade Level
Grades 6-8