Decimal Numbers and Place Value Quiz

Alberta - Grade 4 Math - Place Value

• Place Value: Students apply place value to decimal numbers.
• Grade 4 Numbers: Numbers in base-10 have place values; each place has one-tenth the value of the place to its left. Multiplying or dividing by 10 shifts place value one position to the left or right.
• Decimal Separator: The decimal separator is a point in English and a comma in French.
• Decimal Numbers: Decimal numbers are numbers between natural numbers; they are fractions with denominators of 10, 100, etc. Decimals can represent whole and parts (e.g., dollars and cents).
• Patterns in Place Value: Patterns in place value are used to read and write numbers, including wholes and parts. A zero placed to the right of the last digit in a decimal does not change the value of the number. The word "and" is used to indicate the decimal point when reading a number.
• Skills and Procedures:
  • Identify the place value of each digit including tenths and hundredths.
  • Relate the values of adjacent places.
  • Determine the value of each digit in a number, including tenths and hundredths.
  • Express numbers, including decimals, using words and numerals.
  • Express various compositions of a number, including decimals, using place value.
  • Recognize decimal notation in English and French.
  • Round numbers to various places, including tenths.
  • Compare and order decimal numbers using <, >, =.
  • Express a monetary value in cents as a monetary value in dollars using decimal notation
• Lesson Breakdown:
  • Lesson 1: Introduction to Decimal Numbers and Place Value
  • Lesson 2: Reading and Writing Decimal Numbers
  • Lesson 3: Comparing and Ordering Decimal Numbers
  • Lesson 4: Rounding Decimal Numbers
  • Lesson 5: Decimals and Money
  • Unit Exam

Number Talk Examples

• 123 Number Talk (Candy Sharing): Students imagine sharing 12 pieces of candy among 4 friends. This example focuses on basic division. Example problems include an amount of 14 pieces or more to be distributed fairly among 4 friends.
• Number Talk (Value of 7 in 3.74): Students are expected to identify the value of the digit 7 in the number 3.74 using numbers, a fraction and a picture.
• Number Talk (Converting Monetary Value): Students encounter conversion from cents to dollars.

Minds On Examples

• Example Problem (Place Value Chart Exercise): Students are presented with several numbers (e.g., 231, 2310, 45876, 3, 86) to be written in a place value chart.
• Problem (Determining the Values on a Place Value Chart): Students will determine the value of each underlined digit in the provided numbers (e.g., 231, 2310, 45876, 3, 86) by multiplying the underlined number by the respective place value.
• Problem (Place Value Chart): The problems are further explored by asking students to consider how to place the number 2508.37 in a place value chart.
• Problem (Creating a Number Line): Students may have an example provided (number line from 12-14)
• Problem (Determining the Length between Two Values): Students examine situations where a quantity is described between two values (e.g., the length of a pencil is somewhere between 20 cm and 21 cm). 

Games

• Place Value Battle Decimals, Decimal Pickle: Math games for practicing decimal values

Additional Information

• Decimals are used to show parts of a whole.
• The decimal point separates the whole number part from the smaller parts.
• Decimals are helpful when talking about money and measurements.
• Different countries use different notations for decimals.
• Using a number line and place value charts allow students to visualize the values of decimal numbers.
• Students round numbers.
• Decimals and money are reviewed.