Math Problem Statement

The average human body contains about 3.4 × 10 ^ 10 cells. Write this number in standard form.

Solution

To write the number 3.4×10103.4 \times 10^{10} in standard form, you need to move the decimal point to the right according to the exponent on 10, which is 10 in this case. This means moving the decimal point 10 places to the right.

3.4×1010=34,000,000,0003.4 \times 10^{10} = 34,000,000,000

So, the number in standard form is 34,000,000,000.

Would you like more details or have any questions? Here are 5 related questions to expand on this concept:

  1. How would you write 2.5×1072.5 \times 10^7 in standard form?
  2. What is the process for converting a large number like 5,000,000,000 into scientific notation?
  3. How do you express 7.9×1037.9 \times 10^{-3} in standard form?
  4. What are some practical applications of using scientific notation?
  5. How do you compare two numbers written in scientific notation?

Tip: When converting from scientific notation to standard form, remember that a positive exponent means moving the decimal to the right, while a negative exponent means moving it to the left.

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Standard Form Conversion

Formulas

a × 10^n = a with decimal moved n places

Theorems

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Suitable Grade Level

Grades 5-7