Questions: Fill in the blanks. Then, choose the property of multiplication you used. (a) □ × 1=7 (Choose one) (b) □ ×(4 × 5)=(3 × 4) × 5 (Choose one) (c) 5 × □=0 (Choose one) (d) □ × 5=5 × 6 (Choose one)

Fill in the blanks. Then, choose the property of multiplication you used. (a) □ × 1=7 (Choose one) (b) □ ×(4 × 5)=(3 × 4) × 5 (Choose one) (c) 5 × □=0 (Choose one) (d) □ × 5=5 × 6 (Choose one)
Transcript text: Fill in the blanks. Then, choose the property of multiplication you used. (a) $\square \times 1=7$ (Choose one) (b) $\square \times(4 \times 5)=(3 \times 4) \times 5$ (Choose one) (c) $5 \times \square=0$ (Choose one) (d) $\square \times 5=5 \times 6$ (Choose one)
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Solution

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Solution Steps

Step 1: Solve for the blank in \( \square \times 1 = 7 \)
  • The equation is \( \square \times 1 = 7 \).
  • Since multiplying any number by 1 gives the same number, the blank must be 7.
  • Property used: Multiplicative Identity Property.
Step 2: Solve for the blank in \( \square \times (4 \times 5) = (3 \times 4) \times 5 \)
  • The equation is \( \square \times (4 \times 5) = (3 \times 4) \times 5 \).
  • Simplify both sides: \( \square \times 20 = 12 \times 5 \).
  • Further simplify: \( \square \times 20 = 60 \).
  • Divide both sides by 20: \( \square = 3 \).
  • Property used: Associative Property of Multiplication.
Step 3: Solve for the blank in \( 5 \times \square = 0 \)
  • The equation is \( 5 \times \square = 0 \).
  • The only number that, when multiplied by 5, gives 0 is 0.
  • Property used: Multiplicative Property of Zero.

Final Answer

(a) \( \boxed{7} \) (Multiplicative Identity Property)
(b) \( \boxed{3} \) (Associative Property of Multiplication)
(c) \( \boxed{0} \) (Multiplicative Property of Zero)
(d) \( \boxed{5} \) (Commutative Property of Multiplication)

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