Split Factor Tape Quiz
Split Factor Tape Quiz
Distributive & Associative Properties
Score: _____ / 11
Name: _______________________________________
Date: _________________
Directions: Use tape diagrams to break apart a factor into two smaller, friendly numbers. Show all your steps clearly.
PART 1 Complete the Tape Diagrams
1. Look at how the tape diagram breaks apart \(7 \times 4\). Fill in the blanks to find the total.
5 groups of 4 2 groups of 4
4
4
4
4
4
4
4
\(7 \times 4 = ( \) _______ \(\times 4) + (\) _______ \(\times 4)\)
\(7 \times 4 = \) _______ \(+\) _______ \(=\) _______
2. The tape diagram below breaks apart \(6 \times 9\). Fill in the blanks to solve.
5 groups of 9 1 group
9
9
9
9
9
9
\(6 \times 9 = ( \) _______ \(\times 9) + (\) _______ \(\times 9)\)
\(6 \times 9 = \) _______ \(+\) _______ \(=\) _______
PART 2 Choose the Best Answer
3. Which expression shows how to find \(8 \times 6\) by breaking apart the factor 8?
A \((4 \times 6) + (4 \times 6)\)
B \((8 \times 3) + (8 \times 3)\)
C \((5 \times 6) + (2 \times 6)\)
D \((8 + 5) \times (8 + 1)\)
PART 3 Draw a Tape Diagram & Solve
Name: _____________________________
Directions: For each problem, break apart the underlined factor. Draw a tape diagram, label its parts, and write your distributive property equation in the white box.
4. Break apart the 7 to solve: \(7 \times 6 =\) _______
5. Break apart the 9 to solve: \(9 \times 5 =\) _______
6. Break apart the 14 to solve: \(8 \times 14 =\) _______
Two-Digit Challenge
PART 4 Associative Property Practice
Name: _____________________________
Directions: Use the associative property to change how the factors are grouped with parentheses, then find the product.
7. Regroup the factors using parentheses, then solve.
\((2 \times 3) \times 4 = 2 \times ( \) _______ \(\times\) _______ \() =\) _______
8. Regroup the factors to make a friendly number, then solve.
\(5 \times (2 \times 7) = ( \) _______ \(\times\) _______ \() \times 7 =\) _______
9. Which expression has the same value as \((4 \times 2) \times 6\)?
A \(4 \times (2 \times 6)\)
B \((4 + 2) \times 6\)
C \(4 \times (2 + 6)\)
D \((4 \times 6) + (2 \times 6)\)
10. Use parentheses to group two friendly factors and solve: \(3 \times 5 \times 2 =\) _______
11. Use parentheses to group two friendly factors and solve: \(4 \times 2 \times 5 =\) _______
