Math

• What does place value show in a number?

  Value of each digit based on position
• In the number 3,482, what is the value of the digit 3?

  3,000
• How do you determine the value of each digit in a number?

  1. Identify the place of each digit
  2. Multiply the digit by the corresponding place value
• What is the value of the digit 3 in the number 3,482?

  3,000 in the thousands place
• What determines the contribution of each digit to the overall number?

  Each digit's specific place value
• What are the place value positions in a number?

  • Ones
  • Tens
  • Hundreds
  • Thousands
• How do you write the number 4,385 in standard form using place value?

  • 4 is in the thousands place (4×1,000 = 4,000)
  • 3 is in the hundreds place (3×100 = 300)
  • 8 is in the tens place (8×10 = 80)
  • 5 is in the ones place (5×1 = 5)
  • Total: 4,000 + 300 + 80 + 5 = 4,385
• How do you write the number composed of 5 thousands, 2 hundreds, 6 tens, and 9 ones in standard form?

  5,269
• What is the process to compare numbers using place value?

  1. Start with the greatest place value
  2. Compare digits in each position
  3. Identify the number with the smallest digit
• What is the definition of place value?

  Each digit has a specific value based on position
• In the number 4321, what does the digit 4 represent?

  4,000 because it is in the thousands place
• What are the steps to identify place values in a number?

  1. Align digits from right to left
  2. Label each position (ones, tens, etc.)
  3. Multiply each digit by its place value
• In the number 5,234,876, what is the value of the digit 6?

  6 because it is in the ones place
• What is the value of the digit 5 in the number 5,234,876?

  5,000,000 because it is in the millions place
• What is the value of the digit 3 in the number 5,234,876?

  30,000 because it is in the tens of thousands place
• What are the periods in the place value system?

  • Millions period: millions to hundred millions
  • Thousands period: thousands to hundred thousands
  • Ones period: hundreds to ones
• How does place value affect number magnitude?

  • Each digit's contribution is determined by position
  • Moving left increases value by a factor of 10
• How many millions does the digit 5 represent in the number 2,345,678,900?

  5,000,000 because it is in the millions place
• What happens to the magnitude of a number when digits are rearranged?

  Magnitude changes based on new place values
• If the digits in the number 5,231 are rearranged to form 1,523, how much has the magnitude changed?

  4,500 because of place value differences
• What is the value of the digit 6 in the number 987,654,321?

  600,000 because it is in the hundreds of thousands place
• What is the value of the digit 5 in the number 987,654,321?

  50,000 because it is in the tens of thousands place
• What is the value of the digit 2 in the number 2345 in a base-12 number system?

  2,000 because it is in the thousands place
• What is the value of the digit 3 in the number 2345 in a base-12 number system?

  36 because it is in the tens place