(4x10^5)x(2x10^9) In Standard Form

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Jul 03, 2024

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Calculating (4x10^5)x(2x10^9) in Standard Form

In this article, we will evaluate the product of (4x10^5) and (2x10^9) and express the result in standard form.

The Given Expression

The given expression is:

(4x10^5)x(2x10^9)

Evaluating the Expression

To evaluate this expression, we need to follow the order of operations (PEMDAS):

1. Multiply the coefficients: 4 × 2 = 8
2. Multiply the powers of 10: 10^5 × 10^9 = 10^(5+9) = 10^14

So, the product is:

8 × 10^14

Expressing the Result in Standard Form

In standard form, the number is written as a product of a number between 1 and 10 and a power of 10. Therefore, we can rewrite the result as:

8 × 10^14 = 8.0 × 10^14

This is the result of (4x10^5)x(2x10^9) in standard form.

Conclusion

In conclusion, the product of (4x10^5) and (2x10^9) is 8 × 10^14, which can be expressed in standard form as 8.0 × 10^14.