Place Value Rounding
1. **Introduction to Place Value**
Place value tells us the value of a digit depending on its position in a number.
2. **Understanding Place Value with Examples**
In the number $345$, the digit $3$ is in the hundreds place, so its value is $3 \times 100 = 300$.
The digit $4$ is in the tens place, so its value is $4 \times 10 = 40$.
The digit $5$ is in the ones place, so its value is $5 \times 1 = 5$.
3. **Practice Place Value**
Write the value of each digit in the number $726$.
- Hundreds place: $7 \times 100 = 700$
- Tens place: $2 \times 10 = 20$
- Ones place: $6 \times 1 = 6$
4. **Introduction to Rounding Money to the Nearest Dollar**
Rounding helps us estimate the value of money quickly.
5. **Rules for Rounding to the Nearest Dollar**
- Look at the cents (the digits after the decimal point).
- If the cents are $50$ or more, round up the dollar by $1$.
- If the cents are less than $50$, keep the dollar as it is.
6. **Examples of Rounding Money**
Example 1: $12.49$ rounds down to $12$ dollars because $49 < 50$.
Example 2: $15.75$ rounds up to $16$ dollars because $75 \geq 50$.
7. **Practice Rounding Money**
Round $9.30$ to the nearest dollar: $9$ dollars.
Round $7.50$ to the nearest dollar: $8$ dollars.
8. **Summary**
Place value helps us understand the value of each digit in a number.
Rounding money helps us estimate amounts quickly by looking at cents and adjusting the dollar value accordingly.