High School

Match the equivalent expressions.

A. [tex]147 + 3 + 30 + 10[/tex]
B. [tex]147 + 3 + 30[/tex]
C. [tex]147 + 3 + 30 + 30[/tex]
D. [tex]147 + 3 + 30 + 20[/tex]

Answer :

To solve the problem, we'll evaluate each expression and match them with their equivalent values.

1. Expression 1: [tex]\(147 + 3 + 30 + 10\)[/tex]
- Add the numbers step-by-step:
- Start with [tex]\(147\)[/tex].
- Add [tex]\(3\)[/tex]: [tex]\(147 + 3 = 150\)[/tex].
- Add [tex]\(30\)[/tex]: [tex]\(150 + 30 = 180\)[/tex].
- Finally, add [tex]\(10\)[/tex]: [tex]\(180 + 10 = 190\)[/tex].
- So, the value of Expression 1 is 190.

2. Expression 2: [tex]\(147 + 3 + 30\)[/tex]
- Add the numbers step-by-step:
- Start with [tex]\(147\)[/tex].
- Add [tex]\(3\)[/tex]: [tex]\(147 + 3 = 150\)[/tex].
- Add [tex]\(30\)[/tex]: [tex]\(150 + 30 = 180\)[/tex].
- So, the value of Expression 2 is 180.

3. Expression 3: [tex]\(147 + 3 + 30 + 30\)[/tex]
- Add the numbers step-by-step:
- Start with [tex]\(147\)[/tex].
- Add [tex]\(3\)[/tex]: [tex]\(147 + 3 = 150\)[/tex].
- Add [tex]\(30\)[/tex]: [tex]\(150 + 30 = 180\)[/tex].
- Finally, add another [tex]\(30\)[/tex]: [tex]\(180 + 30 = 210\)[/tex].
- So, the value of Expression 3 is 210.

4. Expression 4: [tex]\(147 + 3 + 30 + 20\)[/tex]
- Add the numbers step-by-step:
- Start with [tex]\(147\)[/tex].
- Add [tex]\(3\)[/tex]: [tex]\(147 + 3 = 150\)[/tex].
- Add [tex]\(30\)[/tex]: [tex]\(150 + 30 = 180\)[/tex].
- Finally, add [tex]\(20\)[/tex]: [tex]\(180 + 20 = 200\)[/tex].
- So, the value of Expression 4 is 200.

Now that we have the values for each expression:
- Expression 1 evaluates to 190.
- Expression 2 evaluates to 180.
- Expression 3 evaluates to 210.
- Expression 4 evaluates to 200.

Each expression matches with their respective calculated value:
- [tex]\(147 + 3 + 30 + 10 = 190\)[/tex]
- [tex]\(147 + 3 + 30 = 180\)[/tex]
- [tex]\(147 + 3 + 30 + 30 = 210\)[/tex]
- [tex]\(147 + 3 + 30 + 20 = 200\)[/tex]

These are the equivalent expressions and their evaluated results.