Which property of addition is shown? u + (v + w) = (u + v) + w Choices: (A)associative (B)commutative (C)identity

Understand Addition Properties: Understand the properties of addition. The associative property of addition states that the way in which numbers are grouped does not change their sum. This is expressed as (a + b) + c = a + (b + c). The commutative property of addition states that the order in which two numbers are added does not change their sum. This is expressed as a + b = b + a. The identity property of addition states that any number plus zero is the number itself. This is expressed as a + 0 = a.Compare with Given Equation: Compare the given equation with the properties of addition. The given equation is u + (v + w) = (u + v) + w. We need to determine which property of addition this equation represents.Identify Property of Equation: Identify the property of addition shown by the equation. The equation u + (v + w) = (u + v) + w matches the format of the associative property of addition, which is (a + b) + c = a + (b + c). The sum remains the same regardless of the grouping of the addends.

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which property of addition is shown? $\newline$ $u + (v + w) = (u + v) + w$ $\newline$ Choices: $\newline$ (A)associative $\newline$ (B)commutative $\newline$ (C)identity

View step-by-step help

Home

Math Problems

Grade 6

Properties of addition

Full solution

Q. Which property of addition is shown?

\newline

u + (v + w) = (u + v) + w

\newline

Choices:

\newline

(A)associative

\newline

(B)commutative

\newline

(C)identity

Understand Addition Properties: Understand the properties of addition. The associative property of addition states that the way in which numbers are grouped does not change their sum. This is expressed as $(a + b) + c = a + (b + c)$ . The commutative property of addition states that the order in which two numbers are added does not change their sum. This is expressed as $a + b = b + a$ . The identity property of addition states that any number plus zero is the number itself. This is expressed as $a + 0 = a$ .
Compare with Given Equation: Compare the given equation with the properties of addition. $\newline$ The given equation is $u + (v + w) = (u + v) + w$ . We need to determine which property of addition this equation represents.
Identify Property of Equation: Identify the property of addition shown by the equation. $\newline$ The equation $u + (v + w) = (u + v) + w$ matches the format of the associative property of addition, which is $(a + b) + c = a + (b + c)$ . The sum remains the same regardless of the grouping of the addends.