Percent Explorer

Just percentages. Use the double number line, the tape diagram, and the sale price steps. Finish with a short quiz.

1) Double Number Line: What is P% of a Whole?

Top line is % (0Ð100). Bottom line is the amount from 0 to the whole. Slide the percent to see the part.

P% of Whole = 15

2) Tape Diagram: Part, Percent, Whole

Enter any two, and the third is solved. The tape shows the percent shaded.

3) Sale Price vs. Original Price

Steps for finding a discount and the final price. Visuals reinforce the idea that a discount percent takes away part of the whole.

Sale price: $60.00 | Final price with tax: $64.80
Step?by?Step
  1. Find the discount amount: discount = original * (discount%/100) ? $20.00
  2. Subtract to get the sale price: sale = original ? discount ? $60.00
  3. Find tax on the sale price: tax = sale * (tax%/100) ? $4.80
  4. Final price (pay this amount): final = sale + tax ? $64.80

Concept check: A 25% discount means you pay 75% of the original. So sale = 0.75 * original.

Double Number Line (Discount)
Tape Diagram (What part is discounted?)

25% of $80 = $20 (discount). Unshaded 75% shows the $60 you pay before tax.

4) Quick Check (Multiple Choice)

Q1. On a double number line, 100% matches 80. What number matches 25%?

Q2. 40% of 90 is É

Q3. If 18 is 30% of a number, the number is É

Q4. A tape diagram shows a bar split into 20 equal parts. 7 parts are shaded. What percent is shaded?

Q5. A store shows Ò25% off, then 8% tax after the discount.Ó If the original price is $80, the final price is closest to É

Score: 0 / 5