The problem asks to solve four division problems involving decimal numbers. The problems are: $4.08 \div 1.2 = ?$ $3.483 \div 0.05 = ?$ $5.439 \div 0.006 = ?$ $74.7 \div 0.9 = ?$

ArithmeticDecimal DivisionArithmetic Operations
2025/4/22

1. Problem Description

The problem asks to solve four division problems involving decimal numbers. The problems are:
4.08÷1.2=?4.08 \div 1.2 = ?
3.483÷0.05=?3.483 \div 0.05 = ?
5.439÷0.006=?5.439 \div 0.006 = ?
74.7÷0.9=?74.7 \div 0.9 = ?

2. Solution Steps

First, 4.08÷1.24.08 \div 1.2:
To perform this division, we multiply both the dividend and divisor by 10 to remove the decimal in the divisor.
4.08÷1.2=(4.08×10)÷(1.2×10)=40.8÷124.08 \div 1.2 = (4.08 \times 10) \div (1.2 \times 10) = 40.8 \div 12
Now we perform the division:
40.8÷12=3.440.8 \div 12 = 3.4
Second, 3.483÷0.053.483 \div 0.05:
To perform this division, we multiply both the dividend and divisor by 100 to remove the decimal in the divisor.
3.483÷0.05=(3.483×100)÷(0.05×100)=348.3÷53.483 \div 0.05 = (3.483 \times 100) \div (0.05 \times 100) = 348.3 \div 5
Now we perform the division:
348.3÷5=69.66348.3 \div 5 = 69.66
Third, 5.439÷0.0065.439 \div 0.006:
To perform this division, we multiply both the dividend and divisor by 1000 to remove the decimal in the divisor.
5.439÷0.006=(5.439×1000)÷(0.006×1000)=5439÷65.439 \div 0.006 = (5.439 \times 1000) \div (0.006 \times 1000) = 5439 \div 6
Now we perform the division:
5439÷6=906.55439 \div 6 = 906.5
Fourth, 74.7÷0.974.7 \div 0.9:
To perform this division, we multiply both the dividend and divisor by 10 to remove the decimal in the divisor.
74.7÷0.9=(74.7×10)÷(0.9×10)=747÷974.7 \div 0.9 = (74.7 \times 10) \div (0.9 \times 10) = 747 \div 9
Now we perform the division:
747÷9=83747 \div 9 = 83

3. Final Answer

4.08÷1.2=3.44.08 \div 1.2 = 3.4
3.483÷0.05=69.663.483 \div 0.05 = 69.66
5.439÷0.006=906.55.439 \div 0.006 = 906.5
74.7÷0.9=8374.7 \div 0.9 = 83

Related problems in "Arithmetic"

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

We are given three math problems involving fractions. We need to evaluate them and express the resul...

FractionsArithmetic OperationsCommon DenominatorsMixed NumbersOrder of Operations
2025/6/11

Question 1: A man invested GH¢2400.00 at an interest rate of 7% per year. At the end of a certain pe...

Simple InterestFinancial MathematicsPercentage
2025/6/10

We are given a set of multiple-choice math problems, and we need to find the correct answers.

Ratio and ProportionRate ProblemsSimple InterestWord Problems
2025/6/10

The problem is to evaluate the expression $\frac{1}{2} - 1\frac{1}{3} + 2\frac{1}{6}$.

FractionsMixed NumbersArithmetic OperationsSimplification
2025/6/10

The problem is to evaluate the expression $(8 + \frac{28}{3}) - (\frac{1}{2} - \frac{7}{3})$.

FractionsArithmetic OperationsOrder of Operations
2025/6/9

We need to fill in the blanks with the correct inequality or equality signs to describe the relation...

InequalitiesMultiplicationReal NumbersNumber Properties
2025/6/9

The problem asks us to categorize multiplication expressions into three groups based on whether the ...

MultiplicationFractionsInequalitiesComparison
2025/6/9

The problem consists of two sub-problems: (1) If 1 meter of ribbon costs 240 yen, what is the cost o...

FractionsMultiplicationUnit Conversion
2025/6/9