Rounding Numbers 615679

1. **State the problem:** We need to round the number $$36,172,865$$ to various place values: hundred, thousand, ten thousand, hundred thousand, million, and ten million. 2. **Rounding rules:** To round to a certain place value, look at the digit immediately to the right of that place. If it is 5 or greater, round up by adding 1 to the digit in the place value and replace all digits to the right with zeros. If it is less than 5, keep the digit the same and replace all digits to the right with zeros. 3. **Round to the nearest hundred:** - The hundred's place is the third digit from the right: $$8$$ (in 865). - The digit to the right is $$5$$. - Since $$5 \geq 5$$, round up. - $$36,172,865 \to 36,172,900$$ 4. **Round to the nearest thousand:** - The thousand's place is the fourth digit from the right: $$8$$ (in 2865). - The digit to the right is $$6$$. - Since $$6 \geq 5$$, round up. - $$36,172,865 \to 36,173,000$$ 5. **Round to the nearest ten thousand:** - The ten thousand's place is the fifth digit from the right: $$7$$ (in 72,865). - The digit to the right is $$2$$. - Since $$2 < 5$$, keep the digit. - $$36,172,865 \to 36,170,000$$ 6. **Round to the nearest hundred thousand:** - The hundred thousand's place is the sixth digit from the right: $$1$$ (in 172,865). - The digit to the right is $$7$$. - Since $$7 \geq 5$$, round up. - $$36,172,865 \to 36,200,000$$ 7. **Round to the nearest million:** - The million's place is the seventh digit from the right: $$6$$ (in 6,172,865). - The digit to the right is $$1$$. - Since $$1 < 5$$, keep the digit. - $$36,172,865 \to 36,000,000$$ 8. **Round to the nearest ten million:** - The ten million's place is the eighth digit from the right: $$3$$ (in 36,172,865). - The digit to the right is $$6$$. - Since $$6 \geq 5$$, round up. - $$36,172,865 \to 40,000,000$$ **Final answers:** - a. $$36,172,900$$ - b. $$36,173,000$$ - c. $$36,170,000$$ - d. $$36,200,000$$ - e. $$36,000,000$$ - f. $$40,000,000$$