Question

If each square that is broken into 100 parts is considered a whole, which model represents 0.46 of 3? a) 3 models divided into 100 parts, 46 are shaded in all models. b) 2 models divided into 100 parts, left: 50 are shaded dark gray, right: 50 are shaded dark gray. c) 3 models divided into 100 parts, left: 60 are shaded dark gray, right: 40 are shaded light gray. d) 2 models divided into 100 parts, left: 50 are shaded dark gray, 50 are shaded light gray.

Answer 1

Option a is correct because it shows three models divided into 100 parts each, with a total of 138 parts shaded, correctly representing 0.46 of 3.

Step-by-step explanation:

The question asks which model represents 0.46 of 3, assuming each square is broken into 100 parts and represents a whole. To find 0.46 of 3, we multiply 0.46 by 3. This equals 1.38, which means we need 138 parts shaded to represent 0.46 of 3 wholes. Now we need to determine which option correctly shows 138 parts shaded.

• Option a) 3 models divided into 100 parts, with 46 shaded in all models. This is not correct because 46 parts shaded in each of 3 models would equal 138 shaded parts in total, which accurately represents 0.46 of 3.
• Option b) 2 models divided into 100 parts with each completely shaded. This is incorrect since it represents 2 wholes, not 0.46 of 3.
• Option c) 3 models divided into 100 parts, with varying shades. The shaded amounts do not total 138, so this is incorrect.
• Option d) 2 models divided into 100 parts, one half shaded in each. This is also incorrect as it represents 1 whole, not 0.46 of 3 wholes.

Therefore, the correct answer is option a, which shows a total of 138 parts shaded across three models, matching 0.46 of 3.