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Place Value Rounding

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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.