Equality as Relationship Math Example 3
Follow the full solution, then compare it with the other examples linked below.
Example 3
easyIs \(5 \times 6 = 30\) the same kind of statement as \(5 \times 6 = 3 \times 10\)? Explain.
Solution
- 1 \(5 \times 6 = 30\): relates an expression to a single number.
- 2 \(5 \times 6 = 3 \times 10\): relates two expressions (both equal 30).
- 3 Both use \(=\) to say two things have the same value.
- 4 Yes, both are equality relationships.
Answer
Yes — both use \(=\) to express that two things are the same value
The equals sign always expresses that the left and right sides name the same quantity, whether comparing expression to number or expression to expression.
About Equality as Relationship
Understanding not as 'the answer is' but as expressing that two expressions represent the same value.
Learn more about Equality as Relationship →More Equality as Relationship Examples
Example 1 easy
Explain why (=) means 'the same value as', not just 'the answer is'. Use (3 + 5 = 4 times 2) as an e
Example 2 mediumIf (a = b) and (b = c), what can we conclude about (a) and (c)? Give a numeric example.
Example 4 mediumGiven (2x + 1 = 9), verify that (x = 4) is the solution. Then explain what equality means in this co