Question

Which is the best estimate for (2.8 times 10 Superscript 3 Baseline) (4.1 times 10 Superscript 6 Baseline) written in scientific notation?

7 times 10 Superscript 9

1.2 times 10 Superscript 10

1.5 times 10 Superscript 10

12 times 10 Superscript 18

Answer 1

To find the product of (2.8 × 10^3) and (4.1 × 10^6) in scientific notation, we can multiply the decimal parts (2.8 × 4.1) and add the exponents of 10 (3 + 6).

The decimal part of the product is 2.8 × 4.1 = 11.48.

The exponent of 10 is 3 + 6 = 9.

Therefore, the best estimate for the product in scientific notation is 11.48 × 10^9, which can be written as 1.148 × 10^10.

Answer 2

b) 1.2 times 10 Superscript 10