Which expression is equivalent to 0.26h + h + 0.02h )
1 + 0.28h
h + 0.28
-0.72h
1.28h
The correct answer and explanation is:
The expression to simplify is 0.26h+h+0.02h0.26h + h + 0.02h.
Step-by-Step Process:
- Identify like terms: In this expression, 0.26h0.26h, hh, and 0.02h0.02h are all terms involving the variable hh, so they are “like terms” and can be combined.
- Rewrite the expression: 0.26h+h+0.02h0.26h + h + 0.02h Here, hh is implicitly 1h1h, so we can rewrite the expression as: 0.26h+1h+0.02h0.26h + 1h + 0.02h
- Combine the coefficients: Now add the coefficients of hh: 0.26+1+0.02=1.280.26 + 1 + 0.02 = 1.28 So, the expression becomes: 1.28h1.28h
Final Answer:
The simplified expression is 1.28h1.28h.
Explanation:
The key to simplifying expressions like this one is recognizing that the terms with the same variable can be combined. Here, all terms are multiplied by hh, so we focus on adding the numbers in front of hh. This process of combining coefficients is a fundamental concept in algebra. By performing the addition of the constants, we arrive at the final simplified term. The result is 1.28h1.28h, which corresponds to the option 1.28h.