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Answer :
Sure, let's solve the problem step by step.
We're looking to find which expressions are equivalent to the given numbers, either -160 or 240.
1. For -160:
- Expression 1: [tex]\( 20 + 60 + 80 \)[/tex]
- Calculate: [tex]\( 20 + 60 = 80 \)[/tex]
- Then, [tex]\( 80 + 80 = 160 \)[/tex]
- So, [tex]\( 160 \neq -160 \)[/tex]
- Expression 2: [tex]\( 25 \times 4 + 40 + 10 \)[/tex]
- Calculate: [tex]\( 25 \times 4 = 100 \)[/tex]
- Then, [tex]\( 100 + 40 = 140 \)[/tex]
- Finally, [tex]\( 140 + 10 = 150 \)[/tex]
- So, [tex]\( 150 \neq -160 \)[/tex]
- Expression 3: [tex]\( 60 \times 2 - 50 \)[/tex]
- Calculate: [tex]\( 60 \times 2 = 120 \)[/tex]
- Then, [tex]\( 120 - 50 = 70 \)[/tex]
- So, [tex]\( 70 \neq -160 \)[/tex]
None of these expressions are equivalent to -160.
2. For 240:
- Expression 4: [tex]\( 120 + 100 + 5 \)[/tex]
- Calculate: [tex]\( 120 + 100 = 220 \)[/tex]
- Then, [tex]\( 220 + 5 = 225 \)[/tex]
- So, [tex]\( 225 \neq 240 \)[/tex]
- Expression 5: [tex]\( 60 \times 4 \)[/tex]
- Calculate: [tex]\( 60 \times 4 = 240 \)[/tex]
- This matches the number 240.
- Expression 6: [tex]\( 65 - 85 - 75 - 10 \)[/tex]
- Calculate: [tex]\( 65 - 85 = -20 \)[/tex]
- Then, [tex]\( -20 - 75 = -95 \)[/tex]
- Finally, [tex]\( -95 - 10 = -105 \)[/tex]
- So, [tex]\(-105 \neq 240 \)[/tex]
Only Expression 5 is equivalent to 240.
So, the correct equivalent expression for 240 is [tex]\( 60 \times 4 \)[/tex].
We're looking to find which expressions are equivalent to the given numbers, either -160 or 240.
1. For -160:
- Expression 1: [tex]\( 20 + 60 + 80 \)[/tex]
- Calculate: [tex]\( 20 + 60 = 80 \)[/tex]
- Then, [tex]\( 80 + 80 = 160 \)[/tex]
- So, [tex]\( 160 \neq -160 \)[/tex]
- Expression 2: [tex]\( 25 \times 4 + 40 + 10 \)[/tex]
- Calculate: [tex]\( 25 \times 4 = 100 \)[/tex]
- Then, [tex]\( 100 + 40 = 140 \)[/tex]
- Finally, [tex]\( 140 + 10 = 150 \)[/tex]
- So, [tex]\( 150 \neq -160 \)[/tex]
- Expression 3: [tex]\( 60 \times 2 - 50 \)[/tex]
- Calculate: [tex]\( 60 \times 2 = 120 \)[/tex]
- Then, [tex]\( 120 - 50 = 70 \)[/tex]
- So, [tex]\( 70 \neq -160 \)[/tex]
None of these expressions are equivalent to -160.
2. For 240:
- Expression 4: [tex]\( 120 + 100 + 5 \)[/tex]
- Calculate: [tex]\( 120 + 100 = 220 \)[/tex]
- Then, [tex]\( 220 + 5 = 225 \)[/tex]
- So, [tex]\( 225 \neq 240 \)[/tex]
- Expression 5: [tex]\( 60 \times 4 \)[/tex]
- Calculate: [tex]\( 60 \times 4 = 240 \)[/tex]
- This matches the number 240.
- Expression 6: [tex]\( 65 - 85 - 75 - 10 \)[/tex]
- Calculate: [tex]\( 65 - 85 = -20 \)[/tex]
- Then, [tex]\( -20 - 75 = -95 \)[/tex]
- Finally, [tex]\( -95 - 10 = -105 \)[/tex]
- So, [tex]\(-105 \neq 240 \)[/tex]
Only Expression 5 is equivalent to 240.
So, the correct equivalent expression for 240 is [tex]\( 60 \times 4 \)[/tex].
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