Question

Write the following numbers and results in standard notation, with appropriate significant figures.

a. 7.85 × 10⁻³
b. 7.85 × 10⁴
c. 5.920 × 10³
d. 7.00 × 10⁻⁵
Find the circumference of a circle with radius 8.7 cm.

Answer 1

To express numbers in standard notation with appropriate significant figures, we need to follow specific rules. Let's apply these rules to the given numbers and rewrite them in standard notation.

Step-by-step explanation:

To express numbers in standard notation with appropriate significant figures, we need to follow a few rules:

1. The first non-zero digit is always significant.
2. All zeros between significant figures are significant.
3. Trailing zeros after the decimal point are significant.
4. Zeros in front of the first non-zero digit are not significant.

Let's apply these rules to the given numbers:

a. 7.85 x 10-3: 0.00785 (3 significant figures)

b. 7.85 x 104: 78500 (3 significant figures)

c. 5.920 x 103: 5920 (4 significant figures)

d. 7.00 x 10-5: 0.0000700 (3 significant figures)