Write each number in decimal notation without the use of exponents. $- 7.00001 \times 10^{10}$

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Identify the given number: $-7.00001 \times 10^{10}$.

Recall that multiplying by \$10^{10}$ means moving the decimal point 10 places to the right.

Start with the number 7.00001 and move the decimal point 10 places to the right, adding zeros as needed.

Since the original number is negative, keep the negative sign in front of the final number.

Write the resulting number after moving the decimal point as the decimal notation without exponents.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Scientific Notation

Scientific notation expresses numbers as a product of a decimal number and a power of ten, making very large or small numbers easier to read and work with. For example, 7.00001×10^10 means 7.00001 multiplied by 10 raised to the 10th power.

Powers of Ten

Powers of ten represent repeated multiplication of 10. A positive exponent, like 10^10, means multiplying 10 by itself 10 times, which shifts the decimal point to the right by 10 places in a number.

Decimal Notation Conversion

Converting from scientific notation to decimal notation involves moving the decimal point according to the exponent. For positive exponents, move the decimal point to the right; for negative exponents, move it to the left, filling with zeros as needed.

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