Question 2

Figure it Out

1. Fill in the blanks with numbers, and boxes with operation signs such that the expressions on both sides are equal.

   (a) $24 + (6 - 4) = 24 + 6 \ \square \ \underline{\quad}$

   (b) $38 + (\underline{\quad} \ \square \ \underline{\quad}) = 38 + 9 - 4$

   (c) $24 - (6 + 4) = 24 \ \square \ 6 - 4$

   (d) $24 - 6 - 4 = 24 - 6 \ \square \ \underline{\quad}$

   (e) $27 - (8 + 3) = 27 \ \square \ 8 \ \square \ 3$

   (f) $27 - (\underline{\quad} \ \square \ \underline{\quad}) = 27 - 8 + 3$

3. Find the values of the following expressions. For each pair, first try to guess whether they have the same value. When are the two expressions equal?

(a) $(6 + 10) - 2$ and $6 + (10 - 2)$

(b) $16 - (8 - 3)$ and $(16 - 8) - 3$

(c) $27 - (18 + 4)$ and $27 + (-18 - 4)$

4. In each of the sets of expressions below, identify those that have the same value. Do not evaluate them, but rather use your understanding of terms.

(a) $319 + 537$, $319 - 537$, $-537 + 319$, $537 - 319$

(b) $87 + 46 - 109$, $87 + 46 - 109$, $87 + 46 - 109$, $87 - 46 + 109$, $87 - (46 + 109)$, $(87 - 46) + 109$