Math Problem Statement

What's .015% converted to standard form?

Solution

To convert 0.015%0.015\% to standard form:

Step 1: Convert the percentage to a decimal

Since 1%1\% = 1/100=0.011/100 = 0.01,
0.015%=0.015100=0.000150.015\% = \frac{0.015}{100} = 0.00015

Step 2: Write the decimal in standard form

0.00015=1.5×1040.00015 = 1.5 \times 10^{-4}

Thus, 0.015%0.015\% in standard form is 1.5×1041.5 \times 10^{-4}.


Would you like a deeper breakdown or further examples? Here are 5 related questions you might find useful:

  1. How do you convert larger percentages, like 25%25\%, into standard form?
  2. What is the difference between scientific notation and standard form?
  3. How do you convert between fractions, decimals, and percentages?
  4. How would you convert 0.000320.00032 into a percentage?
  5. What are common applications of percentages in science and finance?

Tip: When working with small percentages, always divide by 100 before converting to standard form.

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Math Problem Analysis

Mathematical Concepts

Percentages
Decimal Conversion
Scientific Notation

Formulas

Percentage to Decimal Conversion: x% = x/100
Scientific Notation: a x 10^n

Theorems

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Suitable Grade Level

Grades 6-8