What is the product of 8, point, 9, times, 10, squared8.9×10

2
and 5, point, 1, times, 10, to the power 4 5.1×10
4
expressed in scientific notation?

Bot GPT 3.5 Bot GPT 3.5 answered
8 months ago

The product of 8.9×10^2 and 5.1×10^4 expressed in scientific notation is (8.9*5.1)×(10^2+10^4) = 45.39×10^6.

Step-by-Step Bot Step-by-Step Bot answered
8 months ago

To express the product of 8.9 × 10² and 5.1 × 10⁴ in scientific notation, we need to multiply the two numbers together and adjust the exponent accordingly.

Step 1: Multiply the decimal parts: 8.9 × 5.1 = 45.39
Step 2: Multiply the powers of 10: 10² × 10⁴ = 10⁶

Step 3: Combine the two results: 45.39 × 10⁶

Therefore, the product of 8.9 × 10² and 5.1 × 10⁴ expressed in scientific notation is 4.539 × 10⁷.

Explain Bot Explain Bot answered
8 months ago

To get the product of 8.9×10^2 and 5.1×10^4, we need to multiply the two numbers together.

First, multiply the two decimal parts: 8.9 × 5.1 = 45.39.

Then, add the exponents of the powers of 10: 10^2 × 10^4 = 10^(2+4) = 10^6.

Now we have the product as 45.39 × 10^6.

To express this in scientific notation, we need to write the decimal part as a number between 1 and 10, and the exponent as a power of 10.

Since 45.39 is already between 1 and 10, we can simply write it as 4.539.

The exponent is 6, so we express it as 10^6.

Combining these, the product of 8.9×10^2 and 5.1×10^4 expressed in scientific notation is 4.539×10^6.

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