QUESTION IMAGE
Question
complete the problems below.
4 how do bar models and double number lines show percents in a similar way?
5 reynaldo is driving 200 miles. he has finished 80% of the drive. draw a model to show 80% of reynaldos drive.
For question 4: Both bar models and double number lines represent the whole (100%) as a full length/segment, then divide this length into proportional parts to visualize percentages relative to the whole, making it easy to see the relationship between a percent and the corresponding quantity.
For question 5: First calculate 80% of 200 miles to find the completed distance, then create a bar model where the full bar equals 200 miles, and shade the portion equal to the completed distance.
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- Both represent 100% as a full unit, then divide that unit into proportional segments to show how a percent relates to the whole quantity, making percentage-quantity relationships visual and proportional.
5.
- Calculate the completed distance: $0.8 \times 200 = 160$ miles
- Bar model:
[====================] 200 miles (100%)
[================== ] 160 miles (80%) <-- shaded portion
(The full bar represents the total 200-mile drive, and 8/10 or 4/5 of the bar is shaded to represent the 80% completed 160 miles.)