Which number goes in the box to make the number sentence true?
(3+4)+7=3+ (4+_)
?????????
I need some help on this one also
To find the missing number, we can use the concept of the associative property of addition, which states that when adding three or more numbers, it doesn't matter which two numbers you add first.
In the given number sentence, we have (3+4)+7 on the left side and 3+(4+_) on the right side. According to the associative property, we can rearrange the numbers without changing the value.
Let's solve the left side first:
(3+4)+7 = 7+7 = 14
Now, on the right side, we have 3+(4+_), and we know the sum is also 14. To find the missing number, we need to subtract 3 from 14, since 3 is already known:
14 - 3 = 11
Therefore, the missing number is 11, and the number sentence becomes true if we replace the blank with 11:
(3+4)+7 = 3+(4+11)