Hundreds, tens, and ones | |
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Description | |

Exercise Name:
| Hundreds, tens, and ones |

Math Missions:
| Early math Math Mission |

Types of Problems:
| 3 |

The first instance of the **Hundreds, tens, and ones** exercise is under the Early math Math Mission. This exercise extends the grouping by tens and ones concept into grouping by hundreds, tens and ones.

## Types of problems

There are three types of problems that show up in this exercise:

- Complete the equation regrouping: This problem takes a fixed number and asks the students to split it into hundreds, tens and ones. Then they are to split it into only tens and ones. Finally they are to represent it as just ones.
- Give the number represented by groups: This problem is the other direction from the first problem type. This one states a collection of hundreds, tens and ones and asks the student to give the standard representation of the number.
- Multiple select representations: This problem takes a fixed number and asks the student to select the groupings that represent that amount. This is multiple select so there is often more than one answer that needs to be selected.

## Strategies

These problems are fairly easy to collect accuracy badges but it is important to be careful as some of the groupings use more than 10 tens or ones which forces carrying. It is is not as easy as reading the numbers and retyping. The speed badges are difficult here with the the multiple select problem and the care that needs to be taken to carry in some cases.

- In problem type one, the first answer is a single digit number, the next is a two digit number (as students change hundreds to tens), and the third is a three digit number identical to the fixed number from the beginning (since it is all ones).

## Real-life Applications

- Knowing how to count is essential for learning algebra and the higher maths, and counting is used for almost everything humans do.
- Place value is used for writing checks.
- A common example of place value is money (example: $1.69 means that there is 1 whole (dollar), 6 tenths (dimes), and 9 hundredths (pennies)).