Final answer:
The correct symbol to make the statement true, given 12÷ 4 + 13 __ 2 + 22÷ 2, is the subtraction sign '-'. After calculating both sides, the symbol is needed to adjust the first result, 16, down to the second result, 13.
Step-by-step explanation:
To determine which symbol makes the statement true, we must first compute the expressions on both sides of the symbol and then decide what operation would make the two expressions equal. Let's perform the calculations step by step:
- Calculate 12 ÷ 4 + 13.
12 ÷ 4 = 3
3 + 13 = 16 - Calculate on the other side of the symbol 2 + 22 ÷ 2.
22 ÷ 2 = 11
2 + 11 = 13 - Decide which operation will make 16 equal to 13 when applied between them. We can subtract, divide or add negative numbers to decrease the value of 16 to match 13.
The answer is b) - since subtracting 3 from 16 will yield 13, which is what we have on the other side of the symbol. Therefore, the symbol that replaces the box to make the statement true is '-'.