**Number and Place Value:**

- Reading, writing, ordering, and comparing numbers to 10,000,000
- Rounding numbers to nearest 10, 100, 1,000, 10,000, and 100,000
- Understanding the place value of digits (thousands, hundreds, tens, ones)
- Adding and subtracting large numbers
- Multiplying and dividing by 10, 100, and 1,000

Reading, Writing, Ordering, and Comparing Numbers to 10,000,000 Q: Write the number three million, four hundred fifty-six thousand, seven hundred eighty-nine. A: 3,456,789 Q: Read the number 8,201,005. A: Eight million, two hundred one thousand, five. Q: Order these numbers from least to greatest: 2,345, 1,987,654, 5,231. A: 2,345, 5,231, 1,987,654 Q: Which number is greater, 7,890,123 or 7,890,023? A: 7,890,123 Q: Compare 4,567,890 and 4,567,800. How are they different? A: They differ only in the ones place; 4,567,890 is greater by 90. Rounding Numbers to Nearest 10, 100, 1,000, 10,000, and 100,000 Q: Round 3,248 to the nearest 100. A: 3,200 Q: Round 87,562 to the nearest 10,000. A: 90,000 Q: Estimate the sum of 4,123 and 2,879 by rounding each number to the nearest 1,000. A: 4,000 + 3,000 = 7,000 (estimate) Q: A recipe calls for 543 grams of flour. You only have a 500-gram bag. Is 500 grams rounded to the nearest 100 enough? A: Yes, 500 grams rounded to the nearest 100 is still 500, which is sufficient for the recipe. Q: The population of a town is estimated to be around 125,890. Rounding to the nearest 100,000 gives what population estimate? A: 120,000 Understanding the Place Value of Digits Q: In the number 6,342, what digit is in the thousands place? A: 6 Q: The value of the 5 in 5,821 is how many times greater than the value of the 5 in 2,507? A: 100 times (5 in 5,821 = 5,000; 5 in 2,507 = 50) Q: What number is ten times bigger than 3,456? A: 34,560 (Move the decimal one place to the right) Q: If the digit 7 in the number 7,205 is replaced with a 0, what is the difference in value? A: 7,000 (The value of 7 in the thousands place) Q: Write the number 42, using only the digits 2 and 0. How many times is the value of the first 2 different from the second 2? A: 10 times (20 - 2 = 18) Adding and Subtracting Large Numbers Q: Solve: 3,456,789 + 2,109,876 A: 5,566,665 Q: Find the difference between 8,765,432 and 1,234,567. A: 7,530,865

Q: A company has 4,231,567 units in stock. They sold 1,876,345 units. How many units are left in stock?A: Left in stock = Starting stock - Units sold

Left in stock = 4,231,567 - 1,876,345 = 2,355,222

Q: Estimate the sum of 5,423,178 and 2,890,654 by rounding each number to the nearest million.

A: 5,000,000 + 3,000,000 = 8,000,000 (estimate)

Q: Sarah needs 7,231,456 points to win a game. She has already collected 3,872,901 points. How many more points does she need?

A: Points needed = Total points - Points collected

Points needed = 7,231,456 - 3,872,901 = 3,358,555

Multiplying and Dividing by 10, 100, and 1,000

Q: Multiply 4,235 by 100.

A: 423,500 (Move the decimal two places to the right)

Q: Divide 8,765 by 10.

A: 876.5 (Move the decimal one place to the left)

Q: A recipe requires 3 cups of flour. How many cups are needed if the recipe is doubled?

A: Doubled recipe = 3 cups/serving * 2 servings = 6 cups

Q: The distance between two cities is 5,230 kilometers. Express the distance in meters. (1 kilometer = 1,000 meters)

A: Distance in meters = Distance in kilometers * Conversion rate

Distance in meters = 5,230 km * 1,000 m/km = 5,230,000 meters

Q: A factory produces 2,100 water bottles per hour. How many bottles can they produce in 8 hours?

A: Total bottles = Production rate/hour * Number of hours

Total bottles = 2,100 bottles/hour * 8 hours = 16,800 bottles

Understanding Place Value (continued):

Q: What is the value of the digit 8 in the number 8,421,356?

A: 8,000,000 (The digit 8 is in the millions place)

Q: Arrange the following numbers in descending order based on the value of the digit 3: 2,345, 7,132, 53,809

A: 53,809, 7,132, 2,345 (The value of 3 decreases from left to right)

Q: Decompose the number 6,247,381 into its place values.

A: 6,247,381 = 6,000,000 (Millions) + 200,000 (Hundred Thousands) + 40,000 (Ten Thousands) + 7,000 (Thousands) + 300 (Hundreds) + 80 (Tens) + 1 (Ones)

Q: If the digit 9 in 4,729,105 is erased, what is the new number?

A: New number = Original number - Erased digit value

New number = 4,729,105 - 9 = 4,729,104