Question

Which number sentence is true?

a. –38.44 divided by 6.2 = 6.2
b. –38.44 divided by (6.2) = –6.2
c. –38.44 divided by (–6.2) = –6.2
d. 38.44 divided by 6.2 = –6.2

Answer 1

To solve the operations given, convert numbers to scientific notation, perform the division, and express the results in scientific notation. In b, we obtain approximately 9.83 × 1022. For c, we express 6.022 × 1023 in standard notation as 602,200,000,000,000,000,000,000.

Step-by-step explanation:

To solve these problems, we need to perform the correct mathematical operations and express our answers using proper conventions for scientific notation and significant figures.

Calculating and Converting Numbers

b. To evaluate 333,999,500,000 ÷ 0.00000000003396 and express the answer in scientific notation, we first convert each number into scientific notation:

• 333,999,500,000 becomes 3.339995 × 1011.
• 0.00000000003396 becomes 3.396 × 10-11.

Dividing these numbers gives us:

(3.339995 × 1011) ÷ (3.396 × 10-11) =
(3.339995 ÷ 3.396) × (1011 × 1011) =
roughly 9.83 × 1022 (this result is obtainable using a calculator to perform the division for the coefficient).

c. The number 6.022 × 1023 in standard notation is 602,200,000,000,000,000,000,000.