Select Whether the Number is Greater, Less Than, or Equal
Question:
Based on the provided data, determine the relationship between Statement A and Statement B in each scenario.
Answer:
1) A > B, 2) A = B, 3) A > B
Explanation:
When a figure is given, the number of significant figures determines the precision or uncertainty of the number:
1) Statement A: 2.567 km, Statement B: 2.567 kmSince Statement A has two significant figures and Statement B has three, the uncertainty in the number with three significant figures is less. Therefore, A is greater than B.
2) Statement A: 2.567 km + 3.146 km, Statement B: 2.567 km + 3.146 kmThe sum of Statement A is 5.713 when rounded to two figures, which is equal to Statement B when added separately. Hence, A is equal to B.
3) Statement A: Area of a rectangle with length = 2.536 m and width = 1.4 m, Statement B: Area of a rectangle with length = 2.536 m and width = 1.41 mFor the product, the result is rounded to the number with the least significant figures. The area of the rectangle in Statement A is 3.6, which is greater than the area in Statement B, 3.58. Therefore, A is greater than B.