Maths - 1 place value.

• What is the definition of place value?


  Place value is the value of a digit based on its position in a number.
• How does the place value system represent large and small numbers?


  It allows us to represent large and small numbers efficiently by assigning values based on digit positions.
• In the number 345, what is the place value of the digit 3?


  300
• In the number 345, what is the place value of the digit 4?


  40
• In the number 345, what is the place value of the digit 5?


  5
• What are the place values in whole numbers?


  • Ones (1s)
  • Tens (10s)
  • Hundreds (100s)
  • Thousands (1,000s)
  • Millions (1,000,000s)
  • And so on, increasing by a factor of 10 as you move left
• In the number 4,567, what is the place value of the digit 4?


  4,000
• In the number 4,567, what is the place value of the digit 5?


  500
• In the number 4,567, what is the place value of the digit 6?


  60
• In the number 4,567, what is the place value of the digit 7?


  7
• What is the base-10 system in whole numbers?


  • Each place value is 10 times greater than the place to its right.
  • Places include: Ones, Tens, Hundreds, Thousands, Ten thousands, Hundred thousands, Millions.
• In the number 23,456, what is the place value of the digit 2?


  20,000
• In the number 23,456, what is the place value of the digit 3?


  3,000
• In the number 23,456, what is the place value of the digit 4?


  400
• In the number 23,456, what is the place value of the digit 5?


  50
• In the number 23,456, what is the place value of the digit 6?


  6
• What are the place values in decimal numbers?


  • Tenths (0.1)
  • Hundredths (0.01)
  • Thousandths (0.001)
  • Ten-thousandths (0.0001)
  • And so on, decreasing by a factor of 10 as you move right
• In the number 4.567, what is the place value of the digit 4?


  4
• In the number 4.567, what is the place value of the digit 5?


  1. 5
• In the number 4.567, what is the place value of the digit 6?


  1. 06
• In the number 4.567, what is the place value of the digit 7?


  1. 007
• In the number 3.1415, what is the place value of the digit 3?


  3
• In the number 3.1415, what is the place value of the digit 1 in the tenths place?


  1. 1
• In the number 3.1415, what is the place value of the digit 4?


  1. 04
• In the number 3.1415, what is the place value of the digit 1 in the thousandths place?


  1. 001
• In the number 3.1415, what is the place value of the digit 5?


  1. 0005
• What is the process to read and write numbers in words?

  Identify the place value of each digit and express the number in words from largest to smallest place value.
• What are the key points for reading and writing whole numbers?

  • Use commas to separate thousands, millions, etc.
  • Use "and" before the tens and ones (in British English)
• What are the key points for reading and writing decimal numbers?

  • Say "point" for the decimal point
  • Read each digit after the decimal point individually
• How would you write the number 506,032 in words?


  Five hundred and six thousand and thirty-two
• What is the process to compare and order numbers using place value?


  1. Start with the largest place value.
  2. Compare the digits in that place value.
  3. If equal, move to the next smaller place value.
  4. Repeat until you can determine the order.
• How do you compare the numbers 3.14 and 3.2?


  1. 14 < 3.2 because in the tenths place, 1 < 2.
• What is the value of the digit 8 in the number 789,012?


  80,000
• What is the value of the digit 7 in the number 2,718?


  700