Questions: (9.8 × 10^31) × (1.24 × 10^-35)

Transcript text: $\left(9.8 \times 10^{31}\right) \times\left(1.24 \times 10^{-35}\right)$

Solution

Solution Steps

To solve the given problem, we need to multiply two numbers expressed in scientific notation. The multiplication of numbers in scientific notation involves multiplying their coefficients and adding their exponents.

Step 1: Multiply the Coefficients

To solve the problem $(9.8 \times 10^{31}) \times (1.24 \times 10^{-35})$, we first multiply the coefficients:
\[ 9.8 \times 1.24 = 12.152 \]

Step 2: Add the Exponents

Next, we add the exponents of the powers of 10:
\[ 31 + (-35) = -4 \]

Step 3: Combine the Results

Combine the results from the previous steps to express the product in scientific notation:
\[ 12.152 \times 10^{-4} \]

Step 4: Convert to Standard Form

Convert the scientific notation to standard form by adjusting the decimal point:
\[ 12.152 \times 10^{-4} = 0.0012152 \]

Final Answer

$\boxed{12.152 \times 10^{-4}}$

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