Write Standard Form From Scientific Notation Worksheet

Algebra 1
Scientific Notation

Total questions - 6

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How Will This Worksheet on "Write Standard Form from Scientific Notation" Benefit Your Student's Learning?

  • Write standard form from scientific notation worksheets will help students to become mastery at converting numbers between scientific notation and standard form.
  • To convert scientific notation to standard form, students must understand place value and how to move the decimal point. Worksheets provide repeated practice with this concept, solidifying students' grasp of place value.
  • Worksheets will also have word problems that include converting scientific notation into a real-world context, such as working with very large or small measurements in science.

How to Write Standard Form from Scientific Notation?

  • Identify the number between `1` and `10`, which is the coefficient in the scientific notation. 
  • Identify the exponent, which is the power of `10` in the scientific notation.
  • If the exponent is positive, shift the decimal point to the right by the number of places indicated by the exponent If the exponent is negative, shift the decimal point to the left by the number of places indicated by the exponent.
  • Combine the coefficient and the shifted decimal to write the number in standard form. 

Solved Example

Q. How do you write 2.90×1012.90 \times 10^1 in standard form?\newline____
Solution:
  1. Understand Meaning of 10110^1: Understand the meaning of 10110^1 in the expression 2.90×1012.90 \times 10^1.\newline10110^1 means 1010 raised to the power of 11, which is simply 1010.
  2. Multiply by 1010: Multiply 2.902.90 by 1010 to convert the expression into standard form.\newline2.90×10=29.02.90 \times 10 = 29.0
  3. Recognize Standard Form: Recognize that 29.029.0 is the same as 2929 in standard form, as the trailing zero after the decimal point does not change the value.
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About Worksheet

Algebra 1
Scientific Notation

Scientific notation is a way to express very large or very small numbers using powers of `10`. Writing standard form from scientific notation involves converting a number expressed as a product of a coefficient and a power of ten (e.g., `3.5×10^4`) into its full decimal form (e.g., `35,000`).

This process includes moving the decimal point to the right for positive exponents and to the left for negative exponents, adjusting the number accordingly to represent its value in standard decimal notation.

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