Problem 71

Question

Write each number in decimal notation without the use of exponents. $$7.9 \times 10^{-1}$$

Step-by-Step Solution

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Answer

The number $7.9 \times 10^{-1}$ written in decimal notation is $0.79$.

1Step 1: Understand Scientific Notation

In the given expression $7.9 \times 10^{-1}$, the number is written in scientific notation. Here, $7.9$ is the coefficient and $-1$ is the exponent. The exponent represents the number of times the decimal point of the coefficient must be moved.

2Step 2: Decide the direction to move the decimal point

Since the exponent is negative ($-1$), we need to shift the decimal point of the coefficient ($7.9$) one place to the left.

3Step 3: Rewrite the number in Decimal Notation

When moving the decimal point of $7.9$ one place to the left, we get $0.79$ as the number in decimal notation.

Problem 71

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Problem 71

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Problem 72

Factor completely, or state that the polynomial is prime. $$ x^{3}+3 x^{2}-25 x-75 $$

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