Math Problem Statement

How do you write 523,000 in scientific notation?

Solution

To write 523,000 in scientific notation, follow these steps:

  1. Move the decimal point: Start by writing 523,000 as 5.235.23 (move the decimal point 5 places to the left).

  2. Count the number of places the decimal moved: Since the decimal moved 5 places, this gives you the exponent for the power of 10.

  3. Write it in scientific notation: Combine the new number 5.235.23 with the exponent 10510^5.

Thus, 523,000 in scientific notation is: 5.23×1055.23 \times 10^5


Would you like further clarification or examples? Here are some related questions you could explore:

  1. How do you convert a very small number like 0.00032 to scientific notation?
  2. What is the difference between scientific notation and standard form?
  3. How do you multiply two numbers in scientific notation?
  4. How do you divide two numbers in scientific notation?
  5. 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.

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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