Place value and written methods
Pages
Place value in integers and decimals
What each digit is worth in integers and decimals, and zeros as place-holders.
Ordering integers, decimals and negatives
Ordering numbers, including negatives and decimals of different lengths.
The inequality symbols
The less-than, greater-than, at-most, at-least and not-equal signs.
Multiplying and dividing by powers of ten
The effect on every digit of multiplying or dividing by 10, 100, 0.1 and 0.01.
Column addition
Adding integers and decimals in columns, lining up the point and carrying.
Column subtraction
Subtracting in columns with exchange, lining up decimals of different lengths.
Exchanging across zeros
Subtracting when a column holds a zero, and where the exchange comes from.
Long multiplication
Multiplying multi-digit integers, and the place-holder zero in the second row.
Multiplying decimals
Multiplying as whole numbers, then counting decimal places to fix the point.
Short division
Dividing by a one-digit number, carrying each remainder into the next digit.
Interpreting a remainder
Whether a worded answer wants a remainder, a decimal, a fraction or rounding.
Long division
Dividing by a two-digit number, continuing past the point for an exact answer.
Dividing by a decimal
Scaling both numbers by the same power of ten, and why the answer can grow.
Using a given calculation
Related products and quotients from a stated result, without recalculating.
Practice
Place value in integers and decimals
What each digit is worth in integers and decimals, and zeros as place-holders.
PracticeOrdering integers, decimals and negatives
Ordering numbers, including negatives and decimals of different lengths.
PracticeThe inequality symbols
The less-than, greater-than, at-most, at-least and not-equal signs.
PracticeColumn addition
Adding integers and decimals in columns, lining up the point and carrying.
PracticeColumn subtraction
Subtracting in columns with exchange, lining up decimals of different lengths.
PracticeExchanging across zeros
Subtracting when a column holds a zero, and where the exchange comes from.
PracticeLong multiplication
Multiplying multi-digit integers, and the place-holder zero in the second row.
PracticeShort division
Dividing by a one-digit number, carrying each remainder into the next digit.
PracticeInterpreting a remainder
Whether a worded answer wants a remainder, a decimal, a fraction or rounding.
PracticeLong division
Dividing by a two-digit number, continuing past the point for an exact answer.
PracticeUsing a given calculation
Deducing new decimal products and quotients from one stated calculation.
PracticePlace value review
Decimal digit values, ordering with inequality symbols.
PracticeWritten methods review
Column addition, subtraction and long multiplication with decimals throughout.
PracticeDivision review
Short and long division with decimal answers, decimal divisors.