1.四位同学根据运算律对下列算式进行了改写,他们改写的结果正确吗?正确的在括号里画“√”,错误的在括号里画“×”并在下方改正。
(1)$a + 6.5 + 3.5 = a + (6.5 - 3.5)$ (
(2)$ab - bc = (a - b)c$ (
(3)$12.5 × m × 8 = 12.5 × 8 × m$ (
(4)$2.5 × (4 + a) = 2.5 × 4 + a$ (
(1)$a + 6.5 + 3.5 = a + (6.5 - 3.5)$ (
×
)(2)$ab - bc = (a - b)c$ (
×
)(3)$12.5 × m × 8 = 12.5 × 8 × m$ (
√
)(4)$2.5 × (4 + a) = 2.5 × 4 + a$ (
×
)答案
(1)×,改正:$a + 6.5 + 3.5 = a + (6.5 + 3.5)$
(2)×,改正:$ab - bc = (a - c)b$
(3)√
(4)×,改正:$2.5 × (4 + a) = 2.5 × 4 + 2.5a$
(2)×,改正:$ab - bc = (a - c)b$
(3)√
(4)×,改正:$2.5 × (4 + a) = 2.5 × 4 + 2.5a$
2.如果$m = n$,根据等式的基本性质填空。
$m + 4 = n + (\quad)$
$m - (\quad) = n - 9$
$m + (\quad) = n + a$
$m × (\quad) = n × 1.3$
$m ÷ 8 = n ÷ (\quad)$
$m × (\quad) = n × k$
$m + 4 = n + (\quad)$
$m - (\quad) = n - 9$
$m + (\quad) = n + a$
$m × (\quad) = n × 1.3$
$m ÷ 8 = n ÷ (\quad)$
$m × (\quad) = n × k$
答案
4 9 a 1.3 8 k
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