Question

In the parts that follow select whether the number presented in statement A is greater than, less than, or equal to the number presented in statement B.
1. Statement A: 2.567 km, to two significant figures.
Statement B: 2.567 km, to three significant figures.
Determine the correct relationship between the statements.
A. Statement A is greater than Statement B.
B. Statement A is less than Statement B.
C. Statement A is equal to Statement B.
2. Statement A: (2.567 km+ 3.146 km), to two significant figures.
Statement B: (2.567 km, to two significant figures) + (3.146 km, to two significant figures).
Determine the correct relationship between the statements.
A. Statement A is greater than Statement B.
B. Statement A is less than Statement B.
C. Statement A is equal to Statement B.
3. Statement A: Area of a rectangle with measured length = 2.536 m and width = 1.4 m.
Statement B: Area of a rectangle with measured length = 2.536 m and width = 1.41 m.
Determine the correct relationship between the statements.
A. Statement A is greater than Statement B.
B. Statement A is less than Statement B.
C. Statement A is equal to Statement B.

Answer 1

Answer:

1)   A> B, 2)  A = B,  3)    A> B

Explanation:

When a figure is given the number of significant figures to determine the precision or uncertainty the number

1) the uncertainty in the number with three significant figures is less than the number with two significant figures

statement A 2.6

statement B 2.57

        A> B

2) decalration A

         2,567 + 3,146 = 5,713

with two figures it remains

             5.7

statement B

         2.6 + 3.1 = 5.7

 A = B

3) for the product the result is with the number that has the least significant figures

statement A

rectangles area

   2.536 * 1.4 = 3.6

  statement B

    2.536 * 1.41 = 3.58

          A> B