Which expressions are equivalent to 63 + 84?
There are multiple expressions that are equivalent to 63 + 84. Some examples are:
1. 84 + 63 (commutative property of addition)
2. 147 (sum of the numbers)
3. 7 × 21 (distributive property of multiplication over addition)
4. 9² + 7² (squaring each number and adding the results)
5. 9 × 7 + 7 (factoring out a common factor)
To find expressions that are equivalent to 63 + 84, we can use the properties of addition and basic arithmetic operations. Here are some equivalent expressions:
1. 63 + 84
2. 84 + 63 (since addition is commutative)
3. (60 + 3) + (80 + 4) (using the associative property to break down the numbers)
4. 60 + 3 + 80 + 4 (using the associative property to combine like terms)
5. (60 + 80) + (3 + 4) (using the associative property to group like terms)
6. 140 + 7 (using addition to simplify)
7. 147
Therefore, 63 + 84 is equivalent to the expression 147.