Answer :
Let's break down the problem step by step to find the correct equivalent expressions.
1. First Expression:
- You're given: [tex]\(160 = 20 + 60 + 80\)[/tex]
- Equivalent expression to check: [tex]\(25 \times 4 + 40 + 10\)[/tex]
- Calculate:
- [tex]\(25 \times 4 = 100\)[/tex]
- Add [tex]\(40: 100 + 40 = 140\)[/tex]
- Add [tex]\(10: 140 + 10 = 150\)[/tex]
- Result: The equivalent expression evaluates to 150, not 160.
2. Second Expression:
- You're given: [tex]\(60 \times 2\)[/tex]
- Equivalent expression to check: [tex]\(60 \times 2 - 50\)[/tex]
- Calculate:
- [tex]\(60 \times 2 = 120\)[/tex]
- Subtract [tex]\(50: 120 - 50 = 70\)[/tex]
- Result: The equivalent expression evaluates to 70.
3. Third Expression:
- You're given: [tex]\(240 = 120 + 100 + 5\)[/tex]
- Equivalent expression to check: [tex]\(60 \times 4\)[/tex]
- Calculate:
- [tex]\(60 \times 4 = 240\)[/tex]
- Result: The equivalent expression evaluates to 240, which matches the original expression.
Based on these calculations, the third expression, [tex]\(60 \times 4\)[/tex], is correctly equivalent to the given expression [tex]\(240 = 120 + 100 + 5\)[/tex]. The answer indicates that the third expression is the correct equivalent.
1. First Expression:
- You're given: [tex]\(160 = 20 + 60 + 80\)[/tex]
- Equivalent expression to check: [tex]\(25 \times 4 + 40 + 10\)[/tex]
- Calculate:
- [tex]\(25 \times 4 = 100\)[/tex]
- Add [tex]\(40: 100 + 40 = 140\)[/tex]
- Add [tex]\(10: 140 + 10 = 150\)[/tex]
- Result: The equivalent expression evaluates to 150, not 160.
2. Second Expression:
- You're given: [tex]\(60 \times 2\)[/tex]
- Equivalent expression to check: [tex]\(60 \times 2 - 50\)[/tex]
- Calculate:
- [tex]\(60 \times 2 = 120\)[/tex]
- Subtract [tex]\(50: 120 - 50 = 70\)[/tex]
- Result: The equivalent expression evaluates to 70.
3. Third Expression:
- You're given: [tex]\(240 = 120 + 100 + 5\)[/tex]
- Equivalent expression to check: [tex]\(60 \times 4\)[/tex]
- Calculate:
- [tex]\(60 \times 4 = 240\)[/tex]
- Result: The equivalent expression evaluates to 240, which matches the original expression.
Based on these calculations, the third expression, [tex]\(60 \times 4\)[/tex], is correctly equivalent to the given expression [tex]\(240 = 120 + 100 + 5\)[/tex]. The answer indicates that the third expression is the correct equivalent.
