Question

Find the sum of (7.3 × 106) and (4.6 × 105). write the final answer in scientific notation.

a) 7.74 x 10⁶
b) 1.19 x 10⁷
c) 1.03 x 10⁷
d) 9.19 x 10⁶

Answer 1

To find the sum of (7.3 × 10^6) and (4.6 × 10^5) in scientific notation, rewrite (4.6 × 10^5) as (0.46 × 10^6), then add the decimal parts, resulting in (7.76 × 10^6), which is option a).

Step-by-step explanation:

The question asks to find the sum of two numbers provided in scientific notation: (7.3 × 106) and (4.6 × 105), and to write the final answer in proper scientific notation.

First, we need to express both numbers with the same exponent on the 10. We can rewrite (4.6 × 105) as (0.46 × 106) to match the exponent of the other number. Now we have:

(7.3 × 106) + (0.46 × 106)

Adding the decimal parts together gives us:

(7.3 + 0.46) × 106 = 7.76 × 106

Therefore, the sum in proper scientific notation is (7.76 × 106), which corresponds to option a).