IXL | Solve for a variable using properties of multiplication

What value of v makes this multiplication sentence true?

Hint: Use properties of multiplication.

224 · 0 = v

v =

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Learn with an example

question

What value of b makes this multiplication sentence true?

Hint: Use properties of multiplication.

953 · (344 · 67) = (953 · b) · 67

b =

key idea

Associative property:
You can group the factors in any way without changing the result.

solution

To find b, use properties of multiplication to make both sides of the equation look the same.

The associative property says you can group the factors in any way without changing the result.

953 · (344 · 67)

(953 · b) · 67

Apply the associative property

(953 · 344) · 67

(953 · b) · 67

Apply the associative property

Now match up the two sides of the equation.

(953 · 344) · 67

(953 · b) · 67

So, b = 344.

Looking for more? Try these:

Lesson: The distributive property

Lesson: The commutative property

Lesson: The associative property

Lesson: The identity property

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Teacher tools

Work it out

Not feeling ready yet? These can help:

Z.3Properties of multiplication

AA.1Does x satisfy an equation?

F.6Distributive property: find the missing factor

Lesson: The distributive property

Lesson: The commutative property

Lesson: The associative property

Lesson: The identity property

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