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# The Number System

## Undefined Quotient with Fraction Division

Directions: Give at least two different examples where the quotient is undefined by filling in the boxes with whole numbers 0 through 9, using each number at most once for each example. Source: Daniel Luevanos

Directions: Make the smallest (or largest) sum by filling in the boxes using the whole numbers 1-9 no more than one time each. Note: This problem’s difficulty can be adjusted by altering the number of digits (boxes), picking smallest or largest, or by picking either a positive, negative, or both. Source: Robert Kaplinsky

## Subtracting Decimals (Middle School)

Directions: Make the smallest (or largest) difference by filling in the boxes using the whole numbers 1-9 no more than one time each. Note: This problem’s difficulty can be adjusted by altering the number of digits (boxes), picking smallest or largest, or by picking either a positive, negative, or both. Source: Robert Kaplinsky

## Dividing Decimals (Middle School)

Directions: Make the smallest (or largest) quotient by filling in the boxes using the whole numbers 1-9 no more than one time each. Note: This problem’s difficulty can be adjusted by altering the number of digits (boxes), picking smallest or largest, or by picking either a positive, negative, or both. Source: Robert Kaplinsky

## Multiplying Decimals (Middle School)

Directions: Make the smallest (or largest) product by filling in the boxes using the whole numbers 1-9 no more than one time each. Note: This problem’s difficulty can be adjusted by altering the number of digits (boxes), picking smallest or largest, or by picking either a positive, negative, or both. Source: Robert Kaplinsky

## Dividing Two-Digit Numbers (Middle School)

Directions: Make the smallest (or largest) quotient by filling in the boxes using the whole numbers 1-9 no more than one time each Note: This problem’s difficulty can be adjusted by altering the number of digits (boxes), picking smallest or largest, or by picking either a positive, negative, or both. Source: Robert Kaplinsky

## Dividing Fractions 2

Directions: Find two fractions whose quotient is 1/20. Source: Kara Colley