Math 7 · Unit 2, Lesson 2: Part, Whole, and Percent · Tile 2 of 3
Find the Part
What is 40 percent of 35?
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
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.
Or multiply by one number
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.
The part equals the whole multiplied by the percent written as a decimal.
Of means multiply. 40 percent of 35 is 35 times 0.40.
Try it on the bar
The whole is 35. Slide to 40 percent and read the part. Then check: does it match 14?
NC standards: NC.7.RP.3.