Answer :
Sure! Let's go through the question step-by-step to find the equivalent expressions:
1. Expression Analysis:
- First Row Expression:
- [tex]\( 94 - 21 \)[/tex]
- Second Row Expressions:
- [tex]\( 21 - (-94) \)[/tex]
- [tex]\( 94 + 21 \)[/tex]
- Third Row Expression:
- [tex]\( 94 + (-21) \)[/tex]
- 0 (Zero)
2. Calculate and Compare:
- For the expression [tex]\( 94 - 21 \)[/tex]:
- Calculate [tex]\( 94 - 21 \)[/tex]. The result is 73.
- Find equivalent expressions:
a. Checking [tex]\( 94 + (-21) \)[/tex]:
- Simplifying [tex]\( 94 + (-21) \)[/tex] gives [tex]\( 94 - 21 \)[/tex], which is 73.
- Therefore, [tex]\( 94 - 21 \)[/tex] is equivalent to [tex]\( 94 + (-21) \)[/tex].
b. Checking other expressions:
- [tex]\( 21 - (-94) \)[/tex] is the same as [tex]\( 21 + 94 \)[/tex], which is not 73.
- [tex]\( 94 + 21 \)[/tex] results in a different value and is not the same as 73.
- 0 is not equivalent to 73.
- For the expression [tex]\( 21 - (-94) \)[/tex]:
- Simplify [tex]\( 21 - (-94) \)[/tex] to [tex]\( 21 + 94 \)[/tex], which equals 115.
- Finding equivalent expressions:
a. Checking [tex]\( 94 + 21 \)[/tex]:
- Calculate [tex]\( 94 + 21 \)[/tex], which is 115.
- Thus, [tex]\( 21 - (-94) \)[/tex] is equivalent to [tex]\( 94 + 21 \)[/tex].
b. Checking other expressions:
- [tex]\( 94 - 21 \)[/tex] is not 115.
- [tex]\( 94 + (-21) \)[/tex] gives a different value, which is 73.
- 0 is not equivalent to 115.
3. Conclusion:
- [tex]\( 94 - 21 \)[/tex] is equivalent to [tex]\( 94 + (-21) \)[/tex].
- [tex]\( 21 - (-94) \)[/tex] is equivalent to [tex]\( 94 + 21 \)[/tex].
I hope this step-by-step explanation helps you understand how these expressions are equivalent!
1. Expression Analysis:
- First Row Expression:
- [tex]\( 94 - 21 \)[/tex]
- Second Row Expressions:
- [tex]\( 21 - (-94) \)[/tex]
- [tex]\( 94 + 21 \)[/tex]
- Third Row Expression:
- [tex]\( 94 + (-21) \)[/tex]
- 0 (Zero)
2. Calculate and Compare:
- For the expression [tex]\( 94 - 21 \)[/tex]:
- Calculate [tex]\( 94 - 21 \)[/tex]. The result is 73.
- Find equivalent expressions:
a. Checking [tex]\( 94 + (-21) \)[/tex]:
- Simplifying [tex]\( 94 + (-21) \)[/tex] gives [tex]\( 94 - 21 \)[/tex], which is 73.
- Therefore, [tex]\( 94 - 21 \)[/tex] is equivalent to [tex]\( 94 + (-21) \)[/tex].
b. Checking other expressions:
- [tex]\( 21 - (-94) \)[/tex] is the same as [tex]\( 21 + 94 \)[/tex], which is not 73.
- [tex]\( 94 + 21 \)[/tex] results in a different value and is not the same as 73.
- 0 is not equivalent to 73.
- For the expression [tex]\( 21 - (-94) \)[/tex]:
- Simplify [tex]\( 21 - (-94) \)[/tex] to [tex]\( 21 + 94 \)[/tex], which equals 115.
- Finding equivalent expressions:
a. Checking [tex]\( 94 + 21 \)[/tex]:
- Calculate [tex]\( 94 + 21 \)[/tex], which is 115.
- Thus, [tex]\( 21 - (-94) \)[/tex] is equivalent to [tex]\( 94 + 21 \)[/tex].
b. Checking other expressions:
- [tex]\( 94 - 21 \)[/tex] is not 115.
- [tex]\( 94 + (-21) \)[/tex] gives a different value, which is 73.
- 0 is not equivalent to 115.
3. Conclusion:
- [tex]\( 94 - 21 \)[/tex] is equivalent to [tex]\( 94 + (-21) \)[/tex].
- [tex]\( 21 - (-94) \)[/tex] is equivalent to [tex]\( 94 + 21 \)[/tex].
I hope this step-by-step explanation helps you understand how these expressions are equivalent!
