Jada writes the same digit in the 2 blanks to make the statement true. Which digits could she write?

\(\large \boxed{6} \ \boxed{\phantom{8}} \ , \ \boxed{4} \ \boxed{3} \ \boxed{2} < \boxed{6} \ \boxed{5} \ ,\!\boxed{\phantom{8}} \ \boxed{9} \ \boxed{8}\)

1. Order these numbers from least to greatest:

   • 98,107

   • 102,356

   • 752,031

   • 88,207

   • 99,653

2. How did you pick the smallest number? Explain your reasoning.

1. Which multiple of 10,000 is closest to 132,256?

2. Which multiple of 100,000 is closest to 132,256?

3. Which multiple of 100,000 is closest to the number labeled A?

   

For the number 583,642:

1. What is the nearest multiple of 100,000?

2. What is the nearest multiple of 10,000?

3. What is the nearest multiple of 1,000?

4. What is the nearest multiple of 100?

5. What is the nearest multiple of 10?

1. Describe the numbers that are 460,000 when rounded to the nearest ten thousand.

   

2. Where are these numbers located on the number line?

When rounded to the nearest thousand, Airplane X is flying at 30,000 feet, Airplane Y at 31,000 feet, and Airplane Z at 32,000 feet.

1. Could Airplanes X and Y be within 1,000 feet of each other? If you think so, give some examples. If you don’t think so, explain why not.
2. Explain why Airplanes X and Z could not be within 1,000 feet of each other. Use a number line if you find it helpful.

Rounded to the nearest 10 pounds, 1 bag of sand weighs 50 pounds.

Jada wants at least 1,000 pounds of sand for a sandbox. How many bags of sand does Jada need to buy to be sure that she has enough sand?

You will need a set of digit cards 0–9 for this exploration.

Place the cards facedown in a stack. Turn over 6 digit cards.

Can you put the 6 digits in the blanks so that all three statements are true?

1. \(\large \boxed{4} \ , \boxed{\phantom{8}} \ \boxed{2} \ \boxed{3} > \boxed{\phantom{8}} \ , \boxed{9} \ \boxed{7} \ \boxed{8}\)
2. \(\large \boxed{\phantom{8}} \ \boxed{2} \ , \boxed{4} \ \boxed{0} \ \boxed{3} > \boxed{4} \ \boxed{2} \ , \boxed{\phantom{8}} \ \boxed{0} \ \boxed{1}\)
3. \(\large \boxed{4} \ \boxed 3 \ \boxed{\phantom{8}} \ , \boxed{2} \ \boxed{5} \ \boxed{7} > \boxed{4} \ \boxed{\phantom{8}} \ \boxed{5} \ , \boxed{{9}} \ \boxed{3} \ \boxed{7}\)

Round to the nearest ten, hundred, thousand, and ten thousand to answer these riddles. Use a number line if it is helpful.

1. I can be rounded to 100 or to 140. What number could I be?
2. I can be rounded to 7,500 or to 8,000. What number could I be?
3. I can be rounded to 60,000 or to 57,000. What number could I be?