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Count collections of bills and coins

A collection of bills and coins represents a monetary amount that can be found by combining the values of its denominations, regrouping equivalent amounts when useful, and recording the total in dollars and cents using decimal notation to the hundredths place. This includes familiar bills and coins and amounts within ordinary whole-dollar and cent ranges; it does not extend to arbitrary decimal calculations, negative money, or more advanced financial concepts.

Detailed Explanation: Count collections of bills and coins

To count a collection of bills and coins:

  1. Add the bills first.
  2. Add the coins by their values.
  3. Combine the dollars and cents.
  4. Write the amount with a decimal point and two digits for cents.

Example: You have:

  • one $10 bill
  • one $5 bill
  • two $1 bills
  • one quarter
  • one dime
  • three pennies

Step 1: Count the bills.

10+5+1+1=17 dollars10+5+1+1=17\text{ dollars}

Step 2: Count the coins.

A quarter is 2525 cents, a dime is 1010 cents, and three pennies are 33 cents.

25+10+3=38 cents25+10+3=38\text{ cents}

Step 3: Combine the dollars and cents.

You have 1717 dollars and 3838 cents.

Step 4: Write the total using decimal notation.

$17.38\boxed{\$17.38}

Remember: the two digits after the decimal point show the cents.

Learn by doing: Count collections of bills and coins

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Coin Math - Count Piles - Dimes and Quarters


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