Question 2 Number sentences \( 2186+ \) \( \square \) \( =127+20 \) 22 Find the answer: \( 124+(211+342)=124+(342+ \) 2.3 State if the following number sentences are true or false. \[ 72+7>6 \times 2 \times 2 \times 2 \times 2 \] \( \qquad \) Properties of numbers \( 2.4-11+6=6+ \) (1)
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To solve the equation \( 2186+ \square = 127+20 \), we first calculate the right side, which simplifies to \( 127 + 20 = 147 \). Then we find the value for \( \square \) by rearranging the equation: \( \square = 147 - 2186 \), leading us to a negative result, as \( 2186 \) exceeds \( 147 \). For the next equation, \( 124+(211+342) = 124+(342+ \) \), we can use the associative property of addition. It comes down to that both sides will end up equal to \( 124 + 553 = 677 \) once you add \( 211 \) and \( 342 \) together as well. Now, on the truth statement \( 72 + 7 > 6 \times 2 \times 2 \times 2 \times 2 \), we compute both sides. The left side gives us \( 79 \), and the right side evaluates to \( 6 \times 16 = 96 \). So, the statement is false since \( 79 < 96 \). Lastly, in \( 2.4 - 11 + 6 = 6 + (something) \), we determine the left side results in \( -5 \). Therefore, we want \( 6 + \text{?} = -5\), which means the mystery number is \( -11 \). So, the complete equation is \( 2.4 - 11 + 6 = 6 - 11 \). How fun is that!