Answer :
Sure! Let's break down each expression step-by-step to find the equivalent expressions:
1. Expression: [tex]\(-21 + 94\)[/tex]
To solve this, simply perform the addition:
[tex]\[
-21 + 94 = 73
\][/tex]
Equivalent expression: [tex]\(94 - 21 \)[/tex]
Perform the subtraction:
[tex]\[
94 - 21 = 73
\][/tex]
So, [tex]\(-21 + 94\)[/tex] is equivalent to [tex]\(94 - 21\)[/tex], and both simplify to 73.
2. Expression: [tex]\(94 - (-94)\)[/tex]
When you subtract a negative number, it's the same as adding the positive version of that number:
[tex]\[
94 - (-94) = 94 + 94
\][/tex]
Simplify this:
[tex]\[
94 + 94 = 188
\][/tex]
So, [tex]\(94 - (-94)\)[/tex] simplifies to 188.
3. Expression: [tex]\(94 - (-21)\)[/tex]
Similar to the last one, subtracting a negative number is the same as adding:
[tex]\[
94 - (-21) = 94 + 21
\][/tex]
Simplify this:
[tex]\[
94 + 21 = 115
\][/tex]
So, [tex]\(94 - (-21)\)[/tex] simplifies to 115.
These steps illustrate finding equivalent expressions by using addition properties and simplifying each step.
1. Expression: [tex]\(-21 + 94\)[/tex]
To solve this, simply perform the addition:
[tex]\[
-21 + 94 = 73
\][/tex]
Equivalent expression: [tex]\(94 - 21 \)[/tex]
Perform the subtraction:
[tex]\[
94 - 21 = 73
\][/tex]
So, [tex]\(-21 + 94\)[/tex] is equivalent to [tex]\(94 - 21\)[/tex], and both simplify to 73.
2. Expression: [tex]\(94 - (-94)\)[/tex]
When you subtract a negative number, it's the same as adding the positive version of that number:
[tex]\[
94 - (-94) = 94 + 94
\][/tex]
Simplify this:
[tex]\[
94 + 94 = 188
\][/tex]
So, [tex]\(94 - (-94)\)[/tex] simplifies to 188.
3. Expression: [tex]\(94 - (-21)\)[/tex]
Similar to the last one, subtracting a negative number is the same as adding:
[tex]\[
94 - (-21) = 94 + 21
\][/tex]
Simplify this:
[tex]\[
94 + 21 = 115
\][/tex]
So, [tex]\(94 - (-21)\)[/tex] simplifies to 115.
These steps illustrate finding equivalent expressions by using addition properties and simplifying each step.
