GCSE Mathematics

• What is place value often described as?

  A special game
• How many blocks does the number 4 in the tens place represent?

  40 blocks
• Match the place value with its description:

  Ones place ↔️ Single blocks

  Tens place ↔️ Towers of 10 blocks

  Hundreds place ↔️ Boxes of 100 blocks
• Each place value is ten times greater than the one before it as you move left from the ones place.

  True
• Match the group name with its place value columns:

  Millions ↔️ Millions, ten millions, hundred millions

  Thousands ↔️ Thousands, ten thousands, hundred thousands

  Ones ↔️ Ones, tens, hundreds
• The number 2,345 has 2 in the thousands column.

  True
• The tens place represents groups of 10 blocks.

  True
• Match the digit with its place value in the number 345:

  3 ↔️ Hundreds

  4 ↔️ Tens

  5 ↔️ Ones
• If a number has a 5 in the "Tens" place, what is the value of that digit?

  50
• Break down the number 345 into its place values:

  1️⃣ 3 boxes of 100

  2️⃣ 4 towers of 10

  3️⃣ 5 single blocks
• Match the power of 10 with its place value:

  $10^{0}$ ↔️ Ones

  $10^{1}$ ↔️ Tens

  $10^{2}$ ↔️ Hundreds

  $10^{3}$ ↔️ Thousands
• How do the place value columns increase in value from left to right?

  • Each column to the right is 10 times smaller than the column to its left.
  • The value increases by a factor of 10 from left to right.
• What is the value of the digit '1' in the thousandths place?

  0.001
• What is the value of the place value for $10^{4}$?


  10,000
• How would you write the number 3.456 using the decimal place value chart?

  • 3 in the Ones place
  • 4 in the Tenths place
  • 5 in the Hundredths place
  • 6 in the Thousandths place
• The digit '7' in the tenths place has a value of 0.7

  True
• What is the value of the '4' in 3.425?

  0.4
• What determines the value of a digit in a whole number?

  Position
• What are the place value columns shown in the image?

  • Millions
  • Thousands
  • Ones
  • Decimals
• How would you write the number 3.456 using the decimal place value chart?

  • 3 in the Ones place
  • 4 in the Tenths place
  • 5 in the Hundredths place
  • 6 in the Thousandths place
• Match the feature with its characteristic in whole numbers and decimals:

  Value Change in Whole Numbers ↔️ ×10 per place

  Value Change in Decimals ↔️ ÷10 per place

  Structure of Whole Numbers ↔️ Increasing value

  Structure of Decimals ↔️ Decreasing value
• How does the decimal place value chart differ from a standard number line?

  The decimal place value chart shows the specific place values, while a number line only shows the relative position of numbers
• Why is it important to understand decimal place value?

  It allows you to accurately represent and manipulate decimal numbers
• Why is it important to understand decimal place value?

  It allows you to accurately represent and manipulate decimal numbers
• What is the value of the "Hundreds" place in the "Thousands" column?

  Hundreds
• Match the digit with its place value in the number 345.712:

  '5' ↔️ Ones

  '2' ↔️ Thousandths
• How would you write the number $-0.0045$ using the decimal place value chart?


  • Negative sign before the Ones place
  • 0 in the Ones place
  • 0 in the Tenths place
  • 4 in the Hundredths place
  • 5 in the Thousandths place
• Place value helps us read, write, and perform calculations with numbers effectively

  True
• What is the place value of the digit '3' in the number 4.375?

  Hundredths
• What is the purpose of a decimal place value chart?

  • To show the place value of each digit in a decimal number
  • To help understand the relative size and position of digits in a decimal
  • To aid in reading, writing, and comparing decimal numbers
• How does the decimal place value chart differ from a standard place value chart for whole numbers?


  The decimal place value chart includes places to the right of the decimal point, while a standard place value chart only shows places to the left of the decimal
• What are used to represent the value of each position in the decimal system?

  Powers of 10
• What are the columns in the decimal place value chart labeled?


  Millions, Hundred Thousands, Ten Thousands, Thousands, Hundreds, Tens, Ones, Tenths, Hundredths, Thousandths, Ten Thousandths, Hundred Thousandths, Millionths
• The '2' in 3.425 is in the hundredths place.

  True
• The '5' in 3.425 has a value of 0.005.

  True
• What separates whole numbers from decimal fractions?

  Decimal point
• What is the value of the '2' in 3.425?

  0.02
• What is the name of the chart shown in the image?


  Decimal place value chart
• What is the name of the chart shown in the image?

  Decimal Place Value Chart
• How can a decimal place value chart help when performing decimal operations?

  • Aligns decimal places when adding/subtracting decimals
  • Identifies place values to properly multiply/divide decimals
  • Compares relative sizes of digits to order/compare decimal numbers