Question

complete each number sentence by choosing >, <, or = .(a) \\((9 + 7) - 2 \square 9 + (7 - 2)\\)(b) \\(4 + (5 + 10) \square (4 + 5) + 10\\)(c) \\(12 - (4 - 3) \square 12 - 4 - 3\\)

Explanation:

Step1: Calculate left side (a)

$(9+7)-2 = 16-2 = 14$

Step2: Calculate right side (a)

$9+(7-2) = 9+5 = 14$

Step3: Compare values (a)

$14 = 14$

Step4: Calculate left side (b)

$4+(5+10) = 4+15 = 19$

Step5: Calculate right side (b)

$(4+5)+10 = 9+10 = 19$

Step6: Compare values (b)

$19 = 19$

Step7: Calculate left side (c)

$12-(4-3) = 12-1 = 11$

Step8: Calculate right side (c)

$12-4-3 = 8-3 = 5$

Step9: Compare values (c)

$11 > 5$

Answer:

(a) $(9 + 7) - 2 = 9 + (7 - 2)$
(b) $4 + (5 + 10) = (4 + 5) + 10$
(c) $12 - (4 - 3) > 12 - 4 - 3$