The problem consists of four division calculations with decimal divisors: $768 : 3.2 =$ $961 : 0.08 =$ $60 : 0.005 =$ $343 : 0.06 =$

ArithmeticDivisionDecimalsArithmetic Operations
2025/4/22

1. Problem Description

The problem consists of four division calculations with decimal divisors:
768:3.2=768 : 3.2 =
961:0.08=961 : 0.08 =
60:0.005=60 : 0.005 =
343:0.06=343 : 0.06 =

2. Solution Steps

To perform division with decimal divisors, we multiply both the divisor and the dividend by a power of 10 to make the divisor an integer.
For 768:3.2768 : 3.2, we multiply both by 10:
76810=7680768 * 10 = 7680
3.210=323.2 * 10 = 32
Then we calculate 7680:32=2407680 : 32 = 240.
For 961:0.08961 : 0.08, we multiply both by 100:
961100=96100961 * 100 = 96100
0.08100=80.08 * 100 = 8
Then we calculate 96100:8=12012.596100 : 8 = 12012.5.
For 60:0.00560 : 0.005, we multiply both by 1000:
601000=6000060 * 1000 = 60000
0.0051000=50.005 * 1000 = 5
Then we calculate 60000:5=1200060000 : 5 = 12000.
For 343:0.06343 : 0.06, we multiply both by 100:
343100=34300343 * 100 = 34300
0.06100=60.06 * 100 = 6
Then we calculate 34300:6=5716.666...5716.6734300 : 6 = 5716.666... \approx 5716.67.

3. Final Answer

768:3.2=240768 : 3.2 = 240
961:0.08=12012.5961 : 0.08 = 12012.5
60:0.005=1200060 : 0.005 = 12000
343:0.06=5716.67343 : 0.06 = 5716.67

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