➕ 6th Grade Math · Unit 5

Working with Decimals and Whole Numbers

13 short narrated lessons in 3 chapters, each with pictures, a quiz with a hint and a second try, and an explanation for every answer.

Standards: 6.NS.B.2 6.NS.B.3 6.NS.B.4

Picture from the lesson “Long Division”
Long Division
Picture from the lesson “Long Division with Two-Digit Divisors”
Long Division with Two-Digit Divisors
Picture from the lesson “Remainders as Decimals”
Remainders as Decimals

What your child will learn

Dividing whole numbers

  1. Long DivisionDivide multi-digit numbers with the standard long division algorithm.
  2. Long Division with Two-Digit DivisorsDivide by a two-digit divisor with long division, estimating each digit of the quotient.
  3. Remainders as DecimalsContinue long division past the decimal point to write a quotient as a decimal instead of a remainder.
  4. Dividing Whole Numbers Review ReviewReview long division with multi-digit numbers.

Decimal operations

  1. Adding and Subtracting DecimalsAdd and subtract multi-digit decimals with the standard algorithm by lining up place values.
  2. Multiplying DecimalsMultiply multi-digit decimals with the standard algorithm and place the decimal point.
  3. Dividing by a DecimalDivide by a decimal by multiplying the divisor and dividend by the same power of ten to make a whole-number divisor.
  4. Decimal Operations Review ReviewReview adding, subtracting, multiplying and dividing decimals.

Factors and multiples

  1. Greatest Common FactorFind the greatest common factor of two whole numbers up to one hundred.
  2. Least Common MultipleFind the least common multiple of two whole numbers up to twelve.
  3. Using the Distributive PropertyRewrite a sum like thirty-six plus eight as four times the sum of nine and two using a common factor.
  4. Factors and Multiples Review ReviewReview greatest common factor, least common multiple and factoring out a common factor.
  5. Unit 5 Test: Working with Decimals and Whole NumbersShow what you learned in the whole unit (Dividing whole numbers, Decimal operations, Factors and multiples) by answering mixed questions.

Try a question from this unit

From the lesson “Long Division”

A community garden harvests 2,345 potatoes and shares them equally among 5 food pantries. How many potatoes does each pantry get?

  • 49 potatoes
  • 479 potatoes
  • 469 potatoes
  • 4,690 potatoes
Show the answer

469 potatoes. First, 23 ÷ 5 = 4 R 3. Next, 34 ÷ 5 = 6 R 4, and then 45 ÷ 5 = 9, so the answer is 469. The answer 49 skips a round, and 5 × 49 is only 245.

Hint kids see after a wrong try: “The divisor does not fit into the first digit, so start with the first two digits. Then keep repeating the four moves.”

Key words

  • long division
  • dividend
  • divisor
  • estimate
  • quotient
  • decimal
  • remainder
  • place value
  • decimal point
  • product
  • decimal places
  • power of ten
  • greatest common factor
  • least common multiple
  • distributive property
  • common factor

Try these lessons in Kids Shelf

Narrated lessons, pictures and quizzes for every grade from K to 8. Works offline.

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