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 km

Since 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 km

The 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 m

For 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.

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