Which expression is equivalent to 56 + 21? (1 point)
Group of answer choices
7(8 + 3)
8(48 + 13)
8(7 + 21)
7(49 + 14)
The expression that is equivalent to 56 + 21 is 7(8 + 3).
To find the expression equivalent to 56 + 21, we need to simplify each of the given options.
Let's evaluate each expression step by step:
1) 7(8 + 3) = 7 * 11 = 77
2) 8(48 + 13) = 8 * 61 = 488
3) 8(7 + 21) = 8 * 28 = 224
4) 7(49 + 14) = 7 * 63 = 441
Among the given options, the expression equivalent to 56 + 21 is:
8(7 + 21), which simplifies to 224.
Therefore, the correct answer is "8(7 + 21)."
To find the equivalent expression to 56 + 21, we need to simplify each of the given options and see which one equals the sum.
Let's start with the first option: 7(8 + 3)
To simplify this expression, we perform the addition inside the parentheses first: 8 + 3 = 11
Then, we multiply 7 by 11: 7 * 11 = 77
The result is 77, which is not equal to 56 + 21.
Now let's move on to the second option: 8(48 + 13)
First, perform the addition inside the parentheses: 48 + 13 = 61
Then, multiply 8 by 61: 8 * 61 = 488
Again, the result is 488, which is not equal to 56 + 21.
Now let's try the third option: 8(7 + 21)
Perform the addition inside the parentheses: 7 + 21 = 28
Then, multiply 8 by 28: 8 * 28 = 224
The result is 224, which is not equal to 56 + 21.
Finally, let's examine the last option: 7(49 + 14)
After performing the addition inside the parentheses: 49 + 14 = 63
Take 7 times 63: 7 * 63 = 441
The result is 441, which is equal to 56 + 21.
Therefore, the expression equivalent to 56 + 21 is 7(49 + 14).