2026年天天练口算四年级数学下册人教版第20页答案
9
下面哪些算式正确运用了乘法分配律?在(
)里画“√”
(1)$(2 + 4) × 15 = 2 × 15 + 4 × 15$ (

(2)$5 × (20 + 6) = 5 × 20 + 6$ (

(3)$8 × 23 + 8 × 27 = 8 × (23 + 27)$ (

(4)$9 × 6 + 4 × 6 = (6 + 4) × 9$ (

(5)$170 × 4 + 4 × 80 = 4 × (170 + 80)$ (

(6)$(16 + 400) × 5 = 16 + 400 × 5$ (

(7)$99 + 99 × 9 = 99 × (9 + 1)$ (

(8)$89 × a + a = 89 × (a + a)$ (

答案

(1)$(2 + 4) × 15 = 2 × 15 + 4 × 15$ (√)
(2)$5 × (20 + 6) = 5 × 20 + 6$ ( )
(3)$8 × 23 + 8 × 27 = 8 × (23 + 27)$ (√)
(4)$9 × 6 + 4 × 6 = (6 + 4) × 9$ ( )
(5)$170 × 4 + 4 × 80 = 4 × (170 + 80)$ (√)
(6)$(16 + 400) × 5 = 16 + 400 × 5$ ( )
(7)$99 + 99 × 9 = 99 × (9 + 1)$ (√)
(8)$89 × a + a = 89 × (a + a)$ ( )
运用乘法分配律,使计算更简便
$(25 + 7) × 4$ $36 × 5 + 36 × 5$ $8 × (125 + 9)$
$= 25 × 4 + 7 × 4$
$= 100 + 28$
$= 128$
$46 × 18 + 54 × 18$ $(125 + 125) × 8$ $12 × 48 + 52 × 12$
$29 × (10 + 2)$ $58 × 19 + 58 × 81$ $(50 + 16) × 10$

答案

$36×5 + 36×5$
$=36×(5 + 5)$
$=36×10$
$=360$
$8×(125 + 9)$
$=8×125 + 8×9$
$=1000 + 72$
$=1072$
$46×18 + 54×18$
$=(46 + 54)×18$
$=100×18$
$=1800$
$(125 + 125)×8$
$=125×8 + 125×8$
$=1000 + 1000$
$=2000$
$12×48 + 52×12$
$=12×(48 + 52)$
$=12×100$
$=1200$
$29×(10 + 2)$
$=29×10 + 29×2$
$=290 + 58$
$=348$
$58×19 + 58×81$
$=58×(19 + 81)$
$=58×100$
$=5800$
$(50 + 16)×10$
$=50×10 + 16×10$
$=500 + 160$
$=660$