Find the value that makes each equation true mentally.

Noah says that 489,231 can be rounded to 500,000.

Priya says that it can be rounded to 490,000.

1. Explain or show why both Noah and Priya are correct. Use a number line if it helps.
2. Describe all the numbers that round to 500,000 when rounded to the nearest hundred thousand.
3. Describe all the numbers that round to 490,000 when rounded to the nearest ten thousand.

4. Name 2 other numbers that can also be rounded to both 500,000 and 490,000.

Your teacher will show you 6 numbers. Choose at least 3 numbers and round each to the nearest hundred thousand, ten thousand, thousand, and hundred.

Record your work in the table. Use a number line if it is helpful.

The table shows the estimated populations of two cities in the States—based on surveys in 2018.

Table. 6 rows, 5 columns. First row. city, population, rounded to the nearest million, rounded to the nearest hundred thousand, rounded to the nearest 10 thousand. Second row. Austin, Texas, 964,254, blank, blank, 960,000. Third row. Lincoln, New England, 287,401. Fourth row. blank, blank, 1 million, blank, 9 hundred thousand. Fifth row. Blank, blank, 1 million, 9 hundred thousand. Sixth row. Blank, blank, 0, 5 hundred thousand.

1. Match each of the 3 cities with the rounded population in the table.

2. The table shows 3 ways of rounding large numbers.

   1. Which ways of rounding are more helpful in finding how many people are in each of these cities?
   2. Which ways of rounding are more helpful in comparing or ordering the populations by size? Less helpful?