一、口算。
$0.86 - 0.6 =$
$0.8 ÷ 0.04 =$
$71 × 8 =$
$1 - 0.11 =$
$8.2 × 0.5 =$
$2.63 + 0.47 =$
$17.1 - 10.2 =$
$3 ÷ 5 =$
$0.86 - 0.6 =$
0.26
$75 ÷ 150 =$0.5
$12.5 ÷ 0.25 =$50
$0.8 ÷ 0.04 =$
20
$1.8 × 300 =$540
$12 × 2.5 =$30
$71 × 8 =$
568
$8.7 + 0.29 =$8.99
$280 ÷ 2 =$140
$1 - 0.11 =$
0.89
$10.2 ÷ 3 =$3.4
$9.06 - 6.6 =$2.46
$8.2 × 0.5 =$
4.1
$1.04 - 0.8 =$0.24
$0.96 + 2.94 =$3.9
$2.63 + 0.47 =$
3.1
$0.22 + 2.8 =$3.02
$6.43 - 1.56 =$4.87
$17.1 - 10.2 =$
6.9
$5.2 × 0.4 =$2.08
$8.4 ÷ 0.21 =$40
$3 ÷ 5 =$
0.6
$8.8 + 0.22 =$9.02
$1.03 × 4 =$4.12
答案
一、0.26 0.5 50
20 540 30
568 8.99 140
0.89 3.4 2.46
4.1 0.24 3.9
3.1 3.02 4.87
6.9 2.08 40
0.6 9.02 4.12
20 540 30
568 8.99 140
0.89 3.4 2.46
4.1 0.24 3.9
3.1 3.02 4.87
6.9 2.08 40
0.6 9.02 4.12
二、计算下面各题,怎样简便就怎样计算。
$2.35 + 5.06 × 1.7$ $0.125 × 32 × 2.5$ $7.38 - 5.14 + 3.62 - 2.86$
$28.6 × 10.1 - 2.86$ $(1.5 + 2.5) × 4.8 ÷ 1.6$ $5.4 × 1.1 - 0.33 × 15$
$2.35 + 5.06 × 1.7$ $0.125 × 32 × 2.5$ $7.38 - 5.14 + 3.62 - 2.86$
$28.6 × 10.1 - 2.86$ $(1.5 + 2.5) × 4.8 ÷ 1.6$ $5.4 × 1.1 - 0.33 × 15$
答案
1. 计算$2.35 + 5.06×1.7$:
解:
先算乘法:$5.06×1.7=(5 + 0.06)×1.7=5×1.7+0.06×1.7 = 8.5+0.102 = 8.602$;
再算加法:$2.35+8.602 = 10.952$。
2. 计算$0.125×32×2.5$:
解:
把$32$分解成$8×4$,则$0.125×32×2.5=(0.125×8)×(4×2.5)$;
因为$0.125×8 = 1$,$4×2.5 = 10$,所以$(0.125×8)×(4×2.5)=1×10 = 10$。
3. 计算$7.38−5.14 + 3.62−2.86$:
解:
利用加法交换律和结合律以及减法的性质:$(7.38 + 3.62)-(5.14 + 2.86)$;
先算括号里的,$7.38 + 3.62 = 11$,$5.14 + 2.86 = 8$,则$(7.38 + 3.62)-(5.14 + 2.86)=11 - 8=3$。
4. 计算$28.6×10.1−2.86$:
解:
把$2.86$转化为$28.6×0.1$,则$28.6×10.1−2.86 = 28.6×10.1−28.6×0.1$;
根据乘法分配律$a× c - b× c=(a - b)× c$,这里$a = 10.1$,$b = 0.1$,$c = 28.6$,所以$28.6×10.1−28.6×0.1=28.6×(10.1 - 0.1)$;
$10.1−0.1 = 10$,$28.6×(10.1 - 0.1)=28.6×10 = 286$。
5. 计算$(1.5 + 2.5)×4.8÷1.6$:
解:
先算括号里的$1.5 + 2.5 = 4$,则$(1.5 + 2.5)×4.8÷1.6=4×4.8÷1.6$;
根据乘除混合运算顺序$4×4.8÷1.6 = 4×(4.8÷1.6)$;
$4.8÷1.6 = 3$,$4×(4.8÷1.6)=4×3 = 12$。
6. 计算$5.4×1.1−0.33×15$:
解:
把$5.4×1.1$转化为$1.8×3×1.1$,$0.33×15$转化为$1.1×3×1.5$,则$5.4×1.1−0.33×15=1.8×3×1.1−1.1×3×1.5$;
根据乘法分配律$a× b× c - d× b× c=(a - d)× b× c$,这里$a = 1.8$,$d = 1.5$,$b = 3$,$c = 1.1$,所以$1.8×3×1.1−1.1×3×1.5=(1.8 - 1.5)×3×1.1$;
$1.8−1.5 = 0.3$,$(1.8 - 1.5)×3×1.1=0.3×3×1.1$;
$0.3×3 = 0.9$,$0.3×3×1.1=0.9×1.1 = 0.99$。
综上,答案依次为$10.952$;$10$;$3$;$286$;$12$;$0.99$。
解:
先算乘法:$5.06×1.7=(5 + 0.06)×1.7=5×1.7+0.06×1.7 = 8.5+0.102 = 8.602$;
再算加法:$2.35+8.602 = 10.952$。
2. 计算$0.125×32×2.5$:
解:
把$32$分解成$8×4$,则$0.125×32×2.5=(0.125×8)×(4×2.5)$;
因为$0.125×8 = 1$,$4×2.5 = 10$,所以$(0.125×8)×(4×2.5)=1×10 = 10$。
3. 计算$7.38−5.14 + 3.62−2.86$:
解:
利用加法交换律和结合律以及减法的性质:$(7.38 + 3.62)-(5.14 + 2.86)$;
先算括号里的,$7.38 + 3.62 = 11$,$5.14 + 2.86 = 8$,则$(7.38 + 3.62)-(5.14 + 2.86)=11 - 8=3$。
4. 计算$28.6×10.1−2.86$:
解:
把$2.86$转化为$28.6×0.1$,则$28.6×10.1−2.86 = 28.6×10.1−28.6×0.1$;
根据乘法分配律$a× c - b× c=(a - b)× c$,这里$a = 10.1$,$b = 0.1$,$c = 28.6$,所以$28.6×10.1−28.6×0.1=28.6×(10.1 - 0.1)$;
$10.1−0.1 = 10$,$28.6×(10.1 - 0.1)=28.6×10 = 286$。
5. 计算$(1.5 + 2.5)×4.8÷1.6$:
解:
先算括号里的$1.5 + 2.5 = 4$,则$(1.5 + 2.5)×4.8÷1.6=4×4.8÷1.6$;
根据乘除混合运算顺序$4×4.8÷1.6 = 4×(4.8÷1.6)$;
$4.8÷1.6 = 3$,$4×(4.8÷1.6)=4×3 = 12$。
6. 计算$5.4×1.1−0.33×15$:
解:
把$5.4×1.1$转化为$1.8×3×1.1$,$0.33×15$转化为$1.1×3×1.5$,则$5.4×1.1−0.33×15=1.8×3×1.1−1.1×3×1.5$;
根据乘法分配律$a× b× c - d× b× c=(a - d)× b× c$,这里$a = 1.8$,$d = 1.5$,$b = 3$,$c = 1.1$,所以$1.8×3×1.1−1.1×3×1.5=(1.8 - 1.5)×3×1.1$;
$1.8−1.5 = 0.3$,$(1.8 - 1.5)×3×1.1=0.3×3×1.1$;
$0.3×3 = 0.9$,$0.3×3×1.1=0.9×1.1 = 0.99$。
综上,答案依次为$10.952$;$10$;$3$;$286$;$12$;$0.99$。
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