Question

complete each number sentence by choosing >, <, or = .(a) 17 - 9 + 4 \square 17 - (9 + 4)(b) 14 - (5 + 3) \square (14 - 5) + 3(c) (3 + 4) + 11 \square 3 + (4 + 11)

Explanation:

Step1: Calculate left side of (a)

$17 - 9 + 4 = 8 + 4 = 12$

Step2: Calculate right side of (a)

$17 - (9 + 4) = 17 - 13 = 4$

Step3: Compare (a) values

$12 > 4$

Step4: Calculate left side of (b)

$14 - (5 + 3) = 14 - 8 = 6$

Step5: Calculate right side of (b)

$(14 - 5) + 3 = 9 + 3 = 12$

Step6: Compare (b) values

$6 < 12$

Step7: Calculate left side of (c)

$(3 + 4) + 11 = 7 + 11 = 18$

Step8: Calculate right side of (c)

$3 + (4 + 11) = 3 + 15 = 18$

Step9: Compare (c) values

$18 = 18$

Answer:

(a) $17 - 9 + 4 > 17 - (9 + 4)$
(b) $14 - (5 + 3) < (14 - 5) + 3$
(c) $(3 + 4) + 11 = 3 + (4 + 11)$