Lesson 4.2Compare and Order
Start hereWords, worked example, and sentence starters
Learning target I can write equivalent fractions, decimals, and percents for the same value.
Start hereWords for this lesson
Read each word before you begin. Say it out loud.
| Word | What it means | Example |
|---|---|---|
| PercentSpanish: Porcentaje | A way to compare a number to 100, shown with the % sign. | 25% means 25 out of 100 |
| DecimalSpanish: Decimal | A number with a dot, like 0.5, that shows a part less than one. | 0.75 means seventy-five hundredths |
| EquivalentSpanish: Equivalente | Having the same value, just written a different way. | 0.8 = 80% = 4/5 |
| BenchmarkSpanish: Referencia | A familiar number you use to guess, like 50% or 1/2. | one half = 50% |
| DiscountSpanish: Descuento | Money taken off the first price to make it cheaper. | $40 shirt at 25% off: discount = $10 |
| HundredthsSpanish: Centésimos | The second place after the decimal point; parts out of 100. | 0.62 = 62 hundredths |
How it worksWorked exampleordering values written in mixed forms
These numbers are not on your problems. The steps are. Follow them with your own numbers.
Order these three values from least to greatest: 0.68, 3/4, 71%.
- Pick one form for the whole list — percent works well here.
- The decimal 0.68 is sixty-eight hundredths, so 0.68 is 68%.
- The fraction 3/4 scales to seventy-five hundredths, so 3/4 is 75%.
- Compare: 68%, then 71%, then 75%. Rewrite them in their first forms.
Answer: Least to greatest: 0.68, 71%, 3/4.
Now you trySame steps, your turn
The steps are the same as the worked example. The numbers are yours. Do the work.
Order these three values from least to greatest: 0.29, 1/4, 32%.
- Form I will use for all three:
- 0.29 written in that form: %
- 1/4 written in that form: %
- Least to greatest: , ,
Say it and write itSentence starters
Finish each sentence out loud with a partner. Then use them in your writing.
- I wrote every value as so I could compare them.
- is greater than because .
- In order from least to greatest, the values are .
- Two values are equal when .
Word bank compareorderleastgreatestequivalentcommon formpercentdecimalfractionhundredthsbenchmarkequal
Watch outA common mistake
A common mistake in Relate Fractions, Decimals, and Percents is treating the numerator and denominator as the percent's digits — turning 3/5 into "35%" by just reading the 3 and the 5. Percent means out of 100, so the fix is to build an equivalent fraction with denominator 100: 5 × 20 = 100, so multiply the top by 20 too — 3/5 = 60/100 = 60%. A second version of this mistake is scaling only ONE part of the fraction (writing 3/5 = 3/100 or 60/5). Whatever you multiply the denominator by, you must multiply the numerator by the same number. When a denominator will not reach 100 evenly (8, 3, 7), divide the numerator by the denominator instead and then multiply by 100.
Lesson 4.2Compare and Order
Apply Day · Version ASupported practice
Learning target I can write equivalent fractions, decimals, and percents for the same value.
-
1Complete each step, then write the final answer.
Write 1/2 as a percent.
Show your workHint 2 × 50 = 100. Multiply the numerator by 50 too.
Final answer: -
2Complete each step, then write the final answer.
Write 4/5 as a decimal.
Show your workHint 5 × 20 = 100. Make a fraction out of 100 first.
Final answer: -
3Complete each step, then write the final answer.
Write 7/20 as a percent.
Show your workHint 20 × 5 = 100. Multiply the numerator by 5 too.
Final answer:
Lesson 4.2Compare and Order
Apply Day · Version BCore practice
Learning target I can write equivalent fractions, decimals, and percents for the same value.
-
1Complete each step, then write the final answer.
Ben says 0.6 is the same as 6%. Is he right? Write 0.6 as a percent.
Show your workFinal answer: -
2Complete each step, then write the final answer.
Write 3/40 as a decimal.
Show your workFinal answer: -
3Complete each step, then write the final answer.
Write 11/20 as a percent.
Show your workFinal answer:
Lesson 4.2Compare and Order
Apply Day · ChallengeExtension
Learning target I can write equivalent fractions, decimals, and percents for the same value.
-
1Circle the letter of the best answer. Show how you know.
What is the fraction 7/20 written as a decimal and as a percent?
- A0.035 and 3.5%
- B0.35 and 35%
- C0.35 and 3.5%
- D0.7 and 70%
Show your work -
2Complete each step, then write the final answer.
Lily says 1/4 is 0.4, because the 4 moves after the decimal point. Write 1/4 as a decimal.
Show your workFinal answer: -
3Complete each step, then write the final answer.
Write 5/16 as a percent.
Show your workFinal answer: