Which symbol makes the statement true -(-7).....7
-(-7) = +7 = 7
To determine which symbol makes the statement true, let's break down the expression step by step.
1. Start with the expression -(-7).....7.
2. The first minus sign (-) is followed by another minus sign (-7), which means we are subtracting a negative number. In mathematical terms, this is equivalent to adding a positive number. Therefore, -(-7) is equal to 7.
3. So the expression simplifies to 7.....7, where the symbol "....." represents an unknown operation.
4. We need to find the operation that makes the expression true.
5. Since 7.....7 is unknown, we can deduce that the operation being used is likely addition (+) or multiplication (×). These are the most common operations used with the same number repeated consecutively.
6. Let's consider both possibilities:
a) If the operation is addition (+), then 7 + 7 + 7 + ... + 7 (with the total number of 7's indicated by the symbol ".....") should equal 7.
To solve this, we need to determine how many 7's are present so that their sum equals 7. It quickly becomes apparent that no matter how many 7's we add, the sum will always be larger than 7. So the addition operation does not make the statement true.
b) If the operation is multiplication (×), then 7 × 7 × 7 × ... × 7 (with the total number of 7's indicated by the symbol ".....") should equal 7.
To solve this, we need to determine how many 7's are present so that their product equals 7. However, it is impossible to multiply any number of 7's together to obtain 7 as the product. So the multiplication operation does not make the statement true either.
7. Therefore, there is no symbol that makes the statement 7.....7 true.