Question

Express the answers to the following calculations in scientific notation (a) 0.0095 + (8.5 x 10^-3) (b) 653 + (5.75 x 10^-8) (c) 850,000 – (9.0 x 10^5) (d) (3.6 x 10^-4) x (3.6 x 10^6) Please show work, thank you

Answer 1

0.0000071 - (3.5 × 10-8)

Step-by-step explanation:

Answer 2

Part (a)
0.0095 + 8.5 x 10⁻³
= 9.5 x 10⁻³ + 8.5 x 10⁻³
= (9.5 + 8.5) x 10⁻³
= 18 x10⁻³
= 1.8 x 10⁻²
Answer: 1.8 x 10⁻²

Part (b)
653 + 5.75 x 10⁻⁸
= 6.53 x 10² + (5.75 x 10⁻¹⁰) x 10²
= (6.53 + 5.75 x 10⁻¹⁰) x 10²
= 6.53 x 10²
Answer: 6.53x 10²

Part (c)
850,000 - 9.0 x 10⁵
= 8.5 x 10⁵ - 9.0 x 10⁵
= - 0.5 x 10⁵
= - 5.0 x 10⁴
Answer: -5.0 x 10⁴

Part (d)
(3.6 x 10⁻⁴) * (3.6 x 10⁶)
= (3.6*3.6)*(10⁻⁴)*(10⁶)
= 12.96 x 10⁶⁻⁴
= 12.96 x 10²
= 1.296 x 10³
Answer: 1.296 x 10³