**Rounding to the Nearest 100**

Rounding is a mathematical process used to simplify numbers to a certain degree of accuracy or precision. When rounding to the nearest 100, we are looking to approximate a given number to the nearest multiple of 100.

**Steps to Round 529 to the Nearest 100:**

1. **Determine the two multiples of 100 that the number lies between:** In this case, we need to find the multiples of 100 that 529 lies between. The two multiples are 500 and 600.

2. **Identify the midpoint:** To determine which multiple of 100 the number is closer to, we calculate the midpoint between the two multiples. The midpoint is found by adding half the difference between the multiples to the smaller multiple. In this case, the midpoint is (500 + 600) / 2 = 550.

3. **Compare the number to the midpoint:** Now we compare the given number, 529, to the midpoint, 550.

- If the number is less than the midpoint (529 < 550),="" we="" round="" down="" to="" the="" lower="" multiple="" of="" 100,="" which="" is="" />
- If the number is greater than or equal to the midpoint (529 >= 550), we round up to the higher multiple of 100, which is 600.

4. **Round the number:** Since 529 is less than the midpoint (529 < 550),="" we="" round="" down="" to="" the="" lower="" multiple="" of="" 100,="" which="" is="" />

Therefore, rounding 529 to the nearest 100 gives us 500.

**Estimating to the Nearest Thousands by Rounding Off:**

When estimating to the nearest thousands, we follow a similar process but with different place values.

1. **Determine the two multiples of 1000 that the number lies between:** For example, if we have the number 7,253, we need to find the multiples of 1000 that 7,253 lies between. The two multiples are 7,000 and 8,000.

2. **Identify the midpoint:** Calculate the midpoint between the two multiples by adding half the difference between them to the smaller multiple. For 7,253, the midpoint is (7,000 + 8,000) / 2 = 7,500.

3. **Compare the number to the midpoint:** Compare 7,253 to the midpoint, 7,500.

- If the number is less than the midpoint (7,253 < 7,500),="" we="" round="" down="" to="" the="" lower="" multiple="" of="" 1000,="" which="" is="" />
- If the number is greater than or equal to the midpoint (7,253 >= 7,500), we round up to the higher multiple of 1000, which is 8,000.

4. **Round the number:** Since 7,253 is less than the midpoint (7,253 < 7,500),="" we="" round="" down="" to="" the="" lower="" multiple="" of="" 1000,="" which="" is="" />

Therefore, rounding 7,253 to the nearest thousands gives us 7,000.

500