Math 7 · Unit 2, Lesson 2: Part, Whole, and Percent · Tile 2 of 3

Find the Part

What is 40 percent of 35?

Finn reads this

When the whole and the percent are given and the part is missing, you have two good ways to find it, and they always agree.

Build it from 10 percent

Finn reads this

What is 40 percent of 35? Ten percent of 35 is 3.5. Forty percent is four of those: 4 times 3.5 is 14. So 40 percent of 35 is 14.

10% of 35 = 3.540% of 35 = 4 × 3.5 = 14

Or multiply by one number

Finn reads this

Write the percent as a decimal and multiply: 35 times 0.40 is 14. Same answer, one step. Underneath is the Unit 1 idea: the part is always the whole times the same number, the percent written as a decimal. That number is the unit rate.

40% of 35 = 35 × 0.40 = 14
ElleMath-speak

The part equals the whole multiplied by the percent written as a decimal.

FinnPlain English

Of means multiply. 40 percent of 35 is 35 times 0.40.

Try it on the bar

Finn reads this

The whole is 35. Slide to 40 percent and read the part. Then check: does it match 14?

Let me try a few

NC standards: NC.7.RP.3.

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