
M7 UNIT 5 PROPORTIONAL REASONING STUDY GUIDE
Flashcard
•
Mathematics
•
7th Grade
•
Practice Problem
•
Hard
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1.
FLASHCARD QUESTION
Front
What is proportional reasoning?
Back
Proportional reasoning is the ability to compare ratios and understand the relationship between quantities. It involves recognizing that two ratios are equivalent.
2.
FLASHCARD QUESTION
Front
How do you calculate a percentage of a number?
Back
To calculate a percentage of a number, multiply the number by the percentage (in decimal form). For example, to find 10% of 70, calculate 70 x 0.10 = 7.
3.
FLASHCARD QUESTION
Front
What is the scale factor in a model?
Back
The scale factor is the ratio of the dimensions of the model to the actual dimensions. For example, if 2 inches on a model represents 14 feet, the scale factor is 1:84.
4.
FLASHCARD QUESTION
Front
How do you find the actual height of a building from a model?
Back
To find the actual height, multiply the height of the model by the scale factor. For example, if the model is 9 inches high and the scale is 2 inches = 14 feet, the actual height is 9 x (14/2) = 63 feet.
5.
FLASHCARD QUESTION
Front
What is 15% of a number?
Back
To find 15% of a number, multiply the number by 0.15. For example, 15% of 550 is 550 x 0.15 = 82.5.
6.
FLASHCARD QUESTION
Front
How do you calculate a tip based on a bill amount?
Back
To calculate a tip, multiply the bill amount by the tip percentage (in decimal form). For example, for a $68 bill with a 15% tip, calculate 68 x 0.15 = 10.2, then add this to the bill.
7.
FLASHCARD QUESTION
Front
What is the total bill including a tip?
Back
To find the total bill including a tip, add the tip amount to the original bill. For example, if the bill is $68 and the tip is $10.2, the total is $68 + $10.2 = $78.20.
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