Understanding Properties of Operations

The video tutorial explains how to write numerical expressions for given statements. It covers subtracting 32 from 98, emphasizing the importance of order in subtraction. It then explains how to express 26 times the sum of 32 and 82, highlighting the use of parentheses to ensure correct operations. The tutorial also discusses equivalent expressions, demonstrating the commutative properties of multiplication and addition, and how they can be used to write different but equivalent expressions.

What is the correct numerical expression for 'Subtract 32 from 98'?

• 32 - 98

• 98 - 32

• 98 + 32

• 32 + 98

Why is the order important in the expression 'Subtract 32 from 98'?

• Because subtraction is not commutative

• Because division is not commutative

• Because addition is not commutative

• Because multiplication is not commutative

How should you write the expression for '26 times the sum of 32 and 82'?

• 26 + (32 + 82)

• 26 * 32 + 82

• 32 + 82 * 26

• 26 * (32 + 82)

What is the role of parentheses in the expression '26 times the sum of 32 and 82'?

• They are used for decoration

• They change the order of multiplication

• They ensure the sum is calculated first

• They are optional

Which property allows us to change the order of multiplication without affecting the result?

• Associative property

• Distributive property

• Commutative property

• Identity property

What is an equivalent expression for '26 times the sum of 32 and 82' using the commutative property of multiplication?

• (32 + 82) * 26

• 26 + (32 + 82)

• 32 * 82 + 26

• 26 * 32 + 82

Which property allows us to change the order of addition without affecting the sum?

• Identity property

• Commutative property

• Distributive property

• Associative property

What is an equivalent expression for '26 times the sum of 32 and 82' using the commutative property of addition?

• 26 * 32 + 82

• 32 * 82 + 26

• 26 + (32 + 82)

• 26 * (82 + 32)

How many equivalent expressions can be formed for '26 times the sum of 32 and 82' using commutative properties?

• Two

• Four

• Three

• Five

What is the best expression for '26 times the sum of 32 and 82' based on the statement?

• (32 + 82) * 26

• 26 * (32 + 82)

• 32 * 82 + 26

• 26 + (32 + 82)