Ratio And Proportion
Muhtasari
Ratio is how we compare quantities and share things out fairly, from mixing concrete to splitting a bill. Proportion is the partner idea: when two quantities change together at a fixed rate. Together they turn everyday sharing and scaling problems into quick, reliable calculations.
In this lesson you will write ratios in their simplest form, divide a quantity in a given ratio, and use proportional reasoning to scale recipes, maps and prices up or down. These methods reappear in similarity, rates and percentages, so they are well worth securing.
Malengo
- Understand and use ratio and proportion to: give ratios in their simplest form divide a quantity in a given ratio use proportional reasoning and ratios in context.
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- Write the ratio 12 : 18 in its simplest form. A. 6 : 9 B. 2 : 3 C. 3 : 2 D. 4 : 6 Answer: B
- Share $90 in the ratio 2 : 3. What is the larger share? A. $36 B. $45 C. $54 D. $60 Answer: C
- If 5 pens cost $2.00, how much do 8 pens cost? A. $2.50 B. $3.20 C. $4.00 D. $5.00 Answer: B
- Simplify the ratio 50 cm : 1 m. A. 50 : 1 B. 1 : 2 C. 1 : 50 D. 5 : 1 Answer: B
- A recipe for 4 people uses 200 g of rice. How much is needed for 6 people? A. 250 g B. 300 g C. 320 g D. 400 g Answer: B
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Vitabu Vinavyopendekezwa
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Sehemu ya kitabu
Ratios and Rate
Write a ratio as a fraction
"Prealgebra: Ratios and Rate" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/prealgebra/pages/5-6-ratios-and-rate. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction
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Sehemu ya kitabu
Solve Proportions and their Applications
Use the definition of proportion
"Prealgebra: Solve Proportions and their Applications" by OpenStax, OpenStax, Rice University, licensed under CC BY 4.0 (https://creativecommons.org/licenses/by/4.0/). Source: https://openstax.org/books/prealgebra/pages/6-5-solve-proportions-and-their-applications. Access for free at https://openstax.org/books/prealgebra/pages/1-introduction
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