10.1: Dollars and Cents
Find each answer mentally.
- A sticker costs 25 cents. How many dollars is that?
- A pen costs 1.50 dollars. How many cents is that?
- How many cents are in one dollar?
- How many dollars are in one cent?
Let’s learn about percentages.
Find each answer mentally.
Complete the table to show the values of these U.S. coins.
coin | penny | nickel | dime | quarter | half dollar | dollar | |
---|---|---|---|---|---|---|---|
row 1 | value (cents) |
The value of a quarter is 25% of the value of a dollar because there are 25 cents for every 100 cents.
Write the name of the coin that matches each expression.
Find two different sets of coins that each make 120% of a dollar, where no type of coin is in both sets.
A \$1 coin is worth 100% of the value of a dollar. Here is a double number line that shows this.
A percentage is a rate per 100.
We can find percentages of \$10 using a double number line where 10 and 100% are aligned, as shown here:
Looking at the double number line, we can see that \$5.00 is 50% of \$10.00 and that \$12.50 is 125% of \$10.00.
The word percent means “per 100” or “for each 100” and is usually written symbolically like this: %.
A percentage is a quantity described by a rate per 100.