Math Problem Statement

Fill in the blanks to write the number in scientific notation: 35,710

Solution

To write 35,71035,710 in scientific notation:

  1. Place the decimal point so that there is one non-zero digit to its left: 35,7103.571035,710 \rightarrow 3.5710

  2. Count the number of places the decimal point has been moved. In this case, it was moved 4 places to the left.

  3. The result is: 3.571×1043.571 \times 10^4

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Here are 5 related questions to deepen understanding:

  1. How would you write 0.005670.00567 in scientific notation?
  2. What is the rule for determining the exponent in scientific notation?
  3. Why is scientific notation useful in mathematics and science?
  4. Can you convert 4.29×1034.29 \times 10^{-3} back into standard notation?
  5. What is the difference between positive and negative exponents in scientific notation?

Tip: Always remember, if the decimal moves to the left, the exponent is positive; if it moves to the right, the exponent is negative!

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Math Problem Analysis

Mathematical Concepts

Scientific Notation
Decimal Numbers
Exponents

Formulas

Scientific Notation Formula: a × 10^n where 1 ≤ a < 10

Theorems

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Suitable Grade Level

Grades 6-8