Grade 4 • Mathematics GT • Place Value and Decimals

Grade 4 Mathematics GT

Place Value and Decimals

Place Value and Decimals Vocabulary

  • Place value: the position of a digit in a number
  • Whole number and decimal place value names: names the location of a number (example: ones, tens, hundreds, tenths, hundredths, etc)
  • Digit: a symbol used to show a number
  • Powers of 10: when one of the factors is a multiple of ten, you can use place value patterns and basic facts to find the product
  • Exponent: shows the number of times the base number is multiplied by itself
  • Decimal: a number that uses place value and a decimal point to show values less than one, such as tenths and hundredths
  • Expanded form: a way of writing numbers to show place value (346 = 300 + 40 + 6)
  • Word form: a way of writing numbers to show place value (23 = twenty three)
  • Comparing:  tell how a number is related to another number using <, >, or =
  • Rounding: to find the nearest ten, hundred, or thousand (and so on) (For example, 391 rounds up to 400 and 331 rounds down to 300)
  • Addend: a number that is added to another in an addition problem
  • Sum: the answer to an addition problem
  • Difference: the answer to a subtraction problem
  • Factor: a number that is multiplied by another number to get a product
  • Product: the result of multiplication
  • Quotient: the result (answer) of dividing two numbers
  • Convert\Conversion: a change in the form of a measurement, different units, without a change in the size or amount
  • Metric: a system of measuring based on: meter for length, kilogram for mass, second for time
  • Standard: units of measurement commonly used in the USA, including: Liquids: Fluid ounces Cups, Pints, Quarts and Gallons; Mass: Ounces, Pounds and Tons; Length: Inches, Feet, Yards and Miles; Temperature: Fahrenheit

Place Value and Decimals Activities  

  • Create numbers using number cubes or spinners and have the student identify the place value and value of different digits in that number.
  • Roll or pick numbers to create decimals. Add, subtract, multiply, or divide the decimals.
  • Find the batting averages or other statistics in the sports section of a newspaper and add or subtract the statistics.
  • Estimate and find the sums and differences of items at the store and in restaurants.
  • Practice basic addition, subtraction, multiplication and division facts.
  • Roll or pick numbers to create decimals. Compare and order the numbers.
  • Choose a multi-digit number. Multiply and divide by powers of 10 (10, 100, 1,000, etc.) by moving the decimal point left or right as appropriate.
  • Use measurement tools when baking or cooking.
  • Compare items by length or weight.
  • Use string to measure your wrist, neck, and waist and make comparisons.
  • Take an object and estimate the weight.  Then use a scale to determine the exact weight, and compare the two amounts.
  • Use a ruler to measure objects around the house in inches or centimeters.
  • Measure arm span using millimeters, centimeters, decimeters, and meters.  Compare the measurements.
  • Compare the estimated volume of a carton or bottle of liquid (such as 1/2 gallon juice or milk or two liter bottle of lemonade) in cubic inches or centimeters to its stated volume in ounces or milliliters.
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