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

2
and 5, point, 1, times, 10, to the power 45.1×10
4
expressed in scientific notation?

1 answer

To express the product in scientific notation, we need to find the decimal place and the exponent.

The product is 8.9 × 10² * 5.1 × 10⁴.

To find the decimal place, we multiply the decimals: 8.9 * 5.1 = 45.39.

The decimal place is after the second digit (9), so the number in scientific notation is 4.539.

To find the exponent, we add the exponents of 10: 2 + 4 = 6.

Therefore, the product in scientific notation is 4.539 × 10⁶.
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