what property is if 10a=2b and 2b=c then 10a=c

The property being used in this case is **transitivity of equality**. Transitivity of equality states that if two quantities are equal to the same thing, then they are equal to each other.

In your case, you are given:

1. \( 10a = 2b \)
2. \( 2b = c \)

By the transitive property of equality, since \( 10a = 2b \) and \( 2b = c \), you can conclude that:

\[ 10a = c \]

Would you like more details or have any questions about this?

Here are 5 related questions to explore further:
1. What other properties of equality are there in algebra?
2. Can you explain the symmetric property of equality?
3. How does substitution play a role in solving equations like this?
4. What is the difference between the transitive and substitution properties?
5. Can transitivity be applied to inequalities, and how?

**Tip:** When working with multiple equations, always look for ways to link them using properties like transitivity or substitution.

Explore how the transitive property of equality is used to solve the equation where 10a = 2b and 2b = c, leading to 10a = c. This key algebraic concept is ideal for students in Grades 6-8, enhancing their understanding of equality properties in algebra.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation