Math Problem Statement

solve this

Write 0.00347 in standard form.

Solution

To write the number 0.003470.00347 in standard form:

  1. Move the decimal point so that there is only one non-zero digit to the left of it. In this case, moving the decimal point three places to the right gives 3.473.47.

  2. Count how many places the decimal point was moved. Since it was moved three places to the right, the exponent will be 3-3.

So, the standard form of 0.003470.00347 is:

3.47×1033.47 \times 10^{-3}

Would you like further clarification or details?

Here are five related questions:

  1. How do you convert a large number into standard form?
  2. Why is the exponent negative in this case?
  3. What are the rules for significant figures in standard form?
  4. How would you write 4700 in standard form?
  5. How does scientific notation differ from standard form?

Tip: When moving the decimal to convert a number to standard form, a shift to the right makes the exponent negative, and a shift to the left makes it positive.

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Math Problem Analysis

Mathematical Concepts

Standard Form
Scientific Notation
Decimals
Exponents

Formulas

N × 10^n, where N is a number between 1 and 10 and n is an integer

Theorems

-

Suitable Grade Level

Grades 6-8