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Students seem to miss the fact that division is actually multiplication by the reciprocal or the inverse of multiplication. This question attempts to address that.

Subtracting a decimal with 3 decimal places from a decimal with 2 or 3 decimal places. borrowing is necessary. This was modified from a subtraction question using integers with each number divided by 1000 so the variables have names referring to ones, tens, hundreds etc.

I think I prefer the other question I made called "Rounding to 0, 1, 2 and 3 decimal places"

By powers of ten I mean a 1 followed by some 0s. The scientific notation questions will take care of the power of ten notation.

a) Multiplying decimals with a single non-zero digit. Students are told to preserve the number of decimal places (from the question to the answer). 

b) Multiplying decimals requiring the multiplication algorithm. 

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Issues: alignment in columns in the working - not sure what to do about it

Decimal divided by a decimal. Multiply by a power of ten to get an integer divisor. Long and short division process. There is a remainder which we express as a decimal by continuing the division process. Rounding is required to some number of decimal places.

Some students believe a decimal is larger if it is longer, some believe a decimal is larger if its first non-zero digit is larger.

Decimals addition algorithm. 2 and 3 digit numbers. Carrying.

Natural numbers addition algorithm. 2 and 3 digit numbers. Carrying.