Solve for a variable using properties of multiplication

Key Notes :

🌠 Commutative property:
You can multiply numbers in any order and get the same product.

🌠 Zero property:
Multiplying by 0 always gives 0.

🌠 Distributive property:
You can multiply a sum by multiplying each addend separately.
The distributive property works with subtraction, too.

Learn with an example

✈️ Type the missing number.

✈️ Hint: Use the commutative property of multiplication.

✈️ 10 × 8 = ___× 10

  • To find the missing value, use properties of multiplication to make both sides of the equation look the same.
  • The commutative property says you can multiply numbers in any order and get the same product.
  • 10 × 8 = ? × 10
  • 8 × 10 = ? × 10 Apply the commutative property
  • Now match up the two sides of the equation.
  • 8 × 10 = ? × 10
  • So, the missing value is 8.

✈️ Type the missing number.

✈️ Hint: Use the zero property of multiplication.

✈️ 0 × 4 =____

  • To find the missing value, use properties of multiplication to make both sides of the equation look the same.
  • The zero property says multiplying by 0 always gives 0.
  • 0×4 = ?
  • 0 = ? Apply the zero property
  • Now match up the two sides of the equation.
  • 0 = ?
  • So, the missing value is 0.

✈️ Type the missing number.

✈️ Hint: Use the distributive property of multiplication.

✈️ 8 × (5 −____) = 8 × 5 − 8 × 1

  • To find the missing value, use properties of multiplication to make both sides of the equation look the same.
  • The distributive property says you can multiply a sum or difference by multiplying each term separately.
  • 8 × (5 − ?) = 8 × 5 − 8 × 1
  • 8 × (5 − ?) = 8 × (5 − 1) Apply the distributive property
  • Now match up the two sides of the equation.
  • 8 × (5 − ?) = 8 × (5 − 1)
  • So, the missing value is 1.

Let’s practice!🖊️