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

Related problems in "Arithmetic"

We are given an arithmetic sequence $\{a_n\}$ with common difference $d = \frac{1}{2}$ and $a_{17} =...

Arithmetic SequencesSum of Arithmetic SeriesSequences and Series
2025/6/14

The problem asks what fraction of a turn does the minute hand of a clock rotate by between 03:20 and...

FractionsTimeClock AnglesSimplification
2025/6/14

Find the geometric mean (or mean proportional) of $\sqrt{2}$ and $\sqrt{8}$.

Geometric MeanRadicalsSquare Roots
2025/6/14

The problem asks us to identify all the fractions from the list $\frac{1}{20}$, $\frac{1}{3}$, $\fra...

FractionsInequalitiesComparison of Fractions
2025/6/14

The problem is to evaluate the expression $6 \div 2(1+2)$.

Order of OperationsPEMDASBODMASArithmetic Expressions
2025/6/12

The problem asks to compute two values: First, decrease 90 by 20%. Second, find 60% of 250.

PercentageArithmetic OperationsCalculation
2025/6/11

The problem is to increase 80 by 15%. This means we need to find 15% of 80 and then add that amount ...

PercentageArithmetic OperationsCalculation
2025/6/11

The problem states that old price is 4 and new price is 3. If you buy 5 at the old price, how many c...

Word ProblemRatioProportionPrice Calculation
2025/6/11

The problem asks us to express the number $0.016$ in three different forms: as a common fraction in ...

FractionsDecimal RepresentationSignificant FiguresScientific NotationRoundingNumber Conversion
2025/6/11

We need to evaluate the expression $\frac{3}{4} + \frac{1}{4} \times \frac{2}{3}$.

FractionsOrder of OperationsAdditionMultiplicationSimplificationLeast Common Multiple
2025/6/11