Math Problems on Place Value and Subtraction

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Questions and Answers

N - 56,728 = 18,254

74,982

The band sold 52,430 tickets in total for two concerts. If 27,098 tickets were sold for the first concert, how many tickets were sold for the second concert?

25,332

N - 38,471 = 12,349

50,820

The library had 67,825 books. After a recent donation drive, they gave away 25,483 old books. How many books does the library now have?

<p>42,342</p> Signup and view all the answers

N - 72,309 = 44,567

<p>116,876</p> Signup and view all the answers

Alex had $42,739 in his savings account. He withdrew $15,684 to pay for home repairs. How much money does Alex have left in his savings?

<p>$27,055</p> Signup and view all the answers

N - 64,281 = 33,671

<p>97,952</p> Signup and view all the answers

A basketball team sold 24,367 tickets for the first game and 19,782 tickets for the second game. How many tickets were sold in total for both games?

<p>44,149</p> Signup and view all the answers

8 ten-thousands, 4 thousands, ? hundreds, 6 tens, and 9 ones = 84,469

<p>4 (D)</p> Signup and view all the answers

7 ten-thousands, 2 hundreds, 3 tens, and 7 ones = 72,037

<p>0 (A)</p> Signup and view all the answers

5 ten-thousands, 9 thousands, 4 hundreds, and 1 one = 59,441

<p>0 (A)</p> Signup and view all the answers

6 ten-thousands, 3 thousands, 0 tens, and 0 ones = 63,000

<p>3 (B)</p> Signup and view all the answers

7 ten-thousands, 3 thousands, 5 hundreds, 6 tens, and 2 ones

<p>73,562 (D)</p> Signup and view all the answers

4 ten-thousands, 9 thousands, 2 hundreds, 1 ten, and 7 ones

<p>49,217 (C)</p> Signup and view all the answers

72,641

<p>7 ten-thousands, 2 thousands, 6 hundreds, 4 tens, and 1 one</p> Signup and view all the answers

Which shows the value of these number cubes?

<p>2 thousand, 1 hundred, 20 tens, 6 ones (A)</p> Signup and view all the answers

Which shows the value of these cubes?

<p>30 hundreds + 11 tens + 3 ones (B)</p> Signup and view all the answers

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Flashcards

Subtraction Equation with Missing Number

A problem where you are given a starting number ("n") and a smaller number to subtract, and you need to find the difference.

Finding a Missing Amount

When you are given the total amount of tickets sold for two events and the amount sold for one event, subtracting the known amount from the total finds the remaining number.

Place Value

The place value of a digit in a number determines its value. For example, in 63,458, the "4" is in the hundreds place.

Word Form

A way to represent numbers using words. For example, 63,458 is represented as 'sixty-three thousand, four hundred fifty-eight'.

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Expanded Form

Representing a number in a way that shows the value of each digit multiplied by its place value. For example, 63,458 is represented as 60,000 + 3,000 + 400 + 50 + 8.

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Number Cube Model

A visual representation of a number using blocks or cubes, where each block represents a specific place value like ones, tens, hundreds, thousands.

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Difference

The difference between two numbers, found by subtracting the smaller number from the larger number.

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Number Cube Values

A visual representation of the values of each digit in a number. Example: '2 thousand, 1 hundred, 20 tens, 6 ones'.

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Number Cube Value in Expanded Form

Representing a number by adding up the value of each digit multiplied by its place value. Example: '3 thousand + 12 tens + 3 ones'.

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Unit Cubes to Represent Number

A visual representation of a number using tiny blocks or cubes to represent each one. Example: showing 235 using 2 hundreds, 3 tens, and 5 ones.

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Study Notes

Do Now Problems

  • Problem 1: Find 'n' if n - 56,728 = 18,254. Answer: n = 74,982
  • Problem 2: A band sold 52,430 tickets total for two concerts. If 27,098 were sold at the first concert, how many were sold at the second? Answer: 25,332 tickets
  • Problem 3: Find 'n' if n - 38,471 = 12,349. Answer: n = 50,820
  • Problem 4: A library had 67,825 books. 25,483 were removed. How many are left? Answer: 42,342 books
  • Problem 5: Find 'n' if n - 72,309 = 44,567. Answer: n = 116,876
  • Problem 6: Alex had $42,739 in savings. He spent $15,684. How much is left? Answer: $27,055
  • Problem 7: Find 'n' if n - 64,281 = 33,671. Answer: n = 97,952
  • Problem 8: A basketball team sold 24,367 tickets for one game and 19,782 for another. What's the total? Answer: 44,149 tickets

Place Value Directions

  • Example: 6 ten-thousands, 3 thousands, ? hundreds, 5 tens, and 8 ones = 63,458. Answer: 4 hundreds
  • Directions: Find the missing place value to complete the number. Give answers.
  • a) 8 ten-thousands, 4 thousands, 6 tens, and 9 ones = 84,469 Answer: 6 hundreds
  • b) 7 ten-thousands, 2 hundreds, 3 tens, and 7 ones = 72,037
  • c) 5 ten-thousands, 9 thousands, 4 hundreds, and 1 one = 59,441
  • d) 6 ten-thousands, 3 thousands, 0 tens, and 0 ones = 63,000

Expanded Form and Standard Form Directions

  • Directions: Use number cubes (thousands, hundreds, tens, and ones) to represent the numbers below. Write the number in standard form, word form, and expanded form (different problems from expanded form above).

Challenge Problems

  • Challenge 1: Write your own number in expanded form, then build it using number cubes.

  • Challenge 2: Draw a number cube model for each of the following numbers.

    • a) 72,641
    • b) 59,804
    • c) 84,320
    • d) 91,758
  • Challenge 3: Swap number cube models with a partner, and write down standard form, expanded form, and word form based on the partner's model.

Exit Ticket

  • Problem 1: Which shows the value of these number cubes? (Image of number cubes provided) Answer is needed for this problem and is not found in the text provided

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