What is the result of multiplying 6.37 × 10² by 9.8 × 10⁸, and what are the values of 6.5 × 10⁻², 6.5 × 10⁻⁸, 6.5 × 10⁻⁷, and 6.5 × 10⁻⁴?

Question

6.37 × 10² 9.8 × 10⁸ 6.5 × 10⁻² 6.5 × 10⁻⁸ 6.5 × 10⁻⁷ 6.5 × 10⁻⁴

Quizzma Team · Answer

To solve the multiplication of the two numbers in scientific notation, follow these steps:

1. Multiply the coefficients:

– 6.37 and 9.8:

[

6.37 times 9.8 = 62.486

]

2. Add the exponents:

– 10² and 10⁸:

[

2 + 8 = 10

]

3. Combine the results:

[

62.486 times 10^{10}

]

4. Convert to proper scientific notation:

Since the coefficient (62.486) is greater than 10, we adjust it to fall between 1 and 10:

[

6.2486 times 10^{11}

]

So, the answer is:

[
6.2486 times 10^{11}

]

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1 Answer