Write and evaluate the expression. Then, select the correct answer.
The sum of forty-five and a number; evaluate when [tex]$n=1.1$[/tex]
A. [tex]$45 n$[/tex]; when [tex]$n=1.1$[/tex], the value is 49.5.
B. [tex]$45+n$[/tex]; when [tex]$n=1.1$[/tex], the value is 46.1.
C. [tex]$45-n$[/tex]; when [tex]$n=1.1$[/tex], the value is 43.9.
D. [tex]$\frac{n}{45}$[/tex]; when [tex]$n=1.1$[/tex], the value is 0.024.
Answer (2)
The expression for 'the sum of forty-five and a number' is 45 + n . When substituting n = 1.1 , the value equals 46.1. Therefore, the correct option is B.
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Write the expression as the sum of 45 and a number n : 45 + n .
Substitute n = 1.1 into the expression: 45 + 1.1 .
Calculate the value of the expression: 45 + 1.1 = 46.1 .
The final answer is 46.1 .
Explanation
Understanding the Problem We are asked to write an expression for 'the sum of forty-five and a number' and then evaluate it when the number, which we'll call n , is equal to 1.1. This means we need to add 45 and n .
Writing the Expression The expression for 'the sum of forty-five and a number n ' is written as: 45 + n
Substituting the Value of n Now, we need to evaluate this expression when n = 1.1 . We substitute 1.1 for n in the expression: 45 + 1.1
Calculating the Result Adding these two numbers together, we get: 45 + 1.1 = 46.1
Final Answer Therefore, the value of the expression 'the sum of forty-five and a number' when n = 1.1 is 46.1.
Examples
Imagine you're saving money. You start with $45, and then you add $1.10 to it. The expression 45 + n helps you calculate your total savings. In this case, n represents the additional amount you're adding to your initial savings. This simple addition is a fundamental concept in personal finance and budgeting, allowing you to track your income and expenses effectively. Understanding how to write and evaluate such expressions is crucial for managing your finances and making informed decisions about your money.
