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    • ▾5th grade
      • ▸Decimal place value
        • •Decimal place value
        • •Hashi puzzles
        • •Decimals to thousandths
        • •Rounding decimals
      • ▸Multi-digit multiplication and division
        • •Multiplying whole numbers by 10, 100, and 1000
        • •Multiplying and dividing decimals by 10, 100, and 1000
        • •Convert fractions to decimals, 10, 100, or 1000 in the denominator
        • •Multiplication, partial products method
        • •Long division
      • ▾Decimal arithmetic
        • •Decimal arithmetic
        • •Dividing whole numbers to get a decimal
      • ▸Add and subtract fractions
        • •Add and subtract fractions, abstract
        • •Adding and subtracting mixed numbers with regrouping
        • •Add and subtract fractions, word problems
      • ▸Multiply fractions
        • •Multiplication as scaling
        • •Areas and perimeters, fractional side lengths
        • •Multiply fractions, abstract
        • •Multiply fractions, word problems
      • ▸Divide fractions
        • •Understanding fractions as division, word problems
        • •Dividing whole numbers by unit fractions
        • •Dividing unit fractions by whole numbers
        • •Dividing mixed numbers
      • ▸Volume
        • •Volume by counting unit cubes
        • •Volume of right rectangular prisms by multiplying
        • •Volume of composite right rectangular prisms
        • •Volume, word problems
      • ▸Coordinate plane
        • •Plot coordinates
        • •Plot coordinates from word problems
      • ▸Algebraic thinking
        • •Intro to parentheses
        • •Distributive property without variables
        • •Convert between words and arithmetic expressions
        • •Linear equations, tables
      • ▸Measurement and data
        • •Unit conversion
        • •Represent and reason with line plots
      • ▸Properties of shapes
        • •Geometric definitions
        • •Classifying shapes
        • •Classifying triangles
        • •Classifying polygons
        • •Symmetries of regular polygons
        • •Quantifiers
     › 5th grade › Decimal arithmetic

    Dividing whole numbers to get a decimal

    Learn several ways to divide whole numbers and decimals, when the quotient is desired as a decimal:

    Strategy 1: Write division as a fraction. Convert the fraction to a mixed number. Convert the fractional part to a decimal. For example 3 / 2 = (3/2) = (2 + 1)/2 = (2/2) + (1/2) = 1 1/2 = 1 5/10 = 1.5.

    Strategy 2: Write as a number of tenths, hundredths, etc. Then divide. Then rewrite as a decimal. For example, 3/2 = 30 tenths / 2 = 15 tenths = 1.5.

    Strategy 3: Convert the dividend and divisor to a fraction, then divide and reduce. Then convert the fraction back to a decimal. For example, 8.4 / 7 = (84/10) / (7/1) = (84/10) * (1/7) = 84/(10 * 7) = 12/10 = 1.2.

    Lessons and practice problems