MENU
❌
Home
Math Forum/Help
Problem Solver
Practice
Worksheets
Tests
Algebra
Geometry
College Math
History
Games
MAIN MENU
1 Grade
Adding and subtracting up to 10
Comparing numbers up to 10
Adding and subtracting up to 20
Addition and Subtraction within 20
2 Grade
Adding and Subtracting up to 100
Addition and Subtraction within 20
3 Grade
Addition and Subtraction within 1000
Multiplication up to 5
Multiplication Table
Rounding
Dividing
Addition, Multiplication, Division
Perimeter
4 Grade
Adding and Subtracting
Addition, Multiplication, Division
Equivalent Fractions
Divisibility by 2, 3, 4, 5, 9
Area of Squares and Rectangles
Fractions
Equivalent Fractions
Least Common Multiple
Adding and Subtracting
Fraction Multiplication and Division
Operations
Mixed Numbers
Decimals
Expressions
6 Grade
Percents
Signed Numbers
The Coordinate Plane
Equations
Expressions
Polynomials
Symplifying Expressions
Polynomial Vocabulary
Polynomial Expressions
Factoring
7 Grade
Angles
Inequalities
Linear Functions
8 Grade
Congurence of Triangles
Linear Functions
Systems of equations
Slope
Parametric Linear Equations
Word Problems
Exponents
Roots
Quadratic Equations
Quadratic Inequalities
Rational Inequalities
Vieta's Formulas
Progressions
Arithmetic Progressions
Geometric Progression
Progressions
Number Sequences
Reciprocal Equations
Logarithms
Logarithmic Expressions
Logarithmic Equations
Logarithmic Equations
Logarithmic Inequalities
Irrational Equations
Irrational Inequalities
Trigonometry
Trigonometry
Identities
Trigonometry
Trigonometric Equations
Trigonometric Inequalities
Extremal value problems
Numbers Classification
Geometry
Slope
Intercept Theorem
Law of Sines
Law of Cosines
Vectors
Modulus Inequalities
Exponential Inequalities
Exponential Equations
Modulus equations
Probabilities
Functions
Min, Max Values
Limits
Limits of Functions
Monotonicity of Functions
Properties of Triangles
Pythagorean Theorem
Matrices
Complex Numbers
Inverse Trigonometric Functions
Analytic Geometry
Analytic Geometry
Circle
Parabola
Ellipse
Conic sections
Polar coordinates
Derivatives
Derivatives
Applications of Derivatives
Derivatives
Integrals
Integrals
Integration by Parts
Trigonometric Substitutions
Application
Differential Equations
Home
Practice
Decimals
Easy
Normal
Decimals: Problems with Solutions
By
Catalin David
Problem 1
Compare 8.62
<
>
5.93
Solution:
Since 8 is greater than 5, then 8.62 > 5.93
Problem 2
Compare 7.49
<
>
7.54
Solution:
Since 7 = 7 and 5 is greater than 4, then 7.49 < 7.54
Problem 3
Compare 25.14
<
>
25.1
Solution:
25.1 = 25.10
25=25
1=1
4>0 then 25.14 > 25.1
Problem 4
3.24
+
2.51

Solution:
If we add or subtract decimal numbers, we first put the decimal point under the decimal point and, using this, we arrange the digits. If the numbers don't have the same number of digits after the decimal point, we add as many 0 at the end of the shorter number as necessary.
3.24
+
2.51

5.75
Problem 5
7.48
+
9.37

Solution:
7.48
+
9.37

16.85
Problem 6
9.43 + 15.59 =
Solution:
9.43
+
15.59

25.02
Problem 7
49.37  25.15 =
Solution:
49.37

25.15

24.22
Problem 8
68.42  45.79 =
Solution:
68.42

45.79

22.63
Problem 9
1.245 + 75.8 =
Solution:
1.245
+
75.800

77.045
Problem 10
35.49 + 28 =
Solution:
35.49
+
28.00

63.49
Problem 11
184.3 + 9.825 =
Solution:
184.300 +
9.825
= 194.125
Problem 12
84.5  9.726 =
Solution:
84.500 
9.726
=74.774
Problem 13
432  0.432 =
Solution:
432.000 
0.432
= 431.568
Problem 14
125.37 × 10 =
Solution:
If we multiply a decimal number with 10 or powers of 10, we move the decimal point to the right over a number of digits equal to the exponent of 10.
125.37 × 10 = 1253.7
Problem 15
15.259 × 100 =
Solution:
15.259 × 100 = 1525.9
Problem 16
7.2 × 1000 =
Solution:
If we don't have enough digits after the decimal point, we complete with 0 7.2 × 1000 = 7.200 × 1000 = 7200
Problem 17
759.32 ÷ 100 =
Solution:
If we divide by 10 or powers of 10, we move the decimal point to the left over a number of digits equal to the exponent of the power of 10. 759.32 ÷ 100 = 7.5932
Problem 18
1.37 ÷ 1000 =
Solution:
If we don't have enough digits to the left of the decimal point, we complete with 0 1.37 ÷ 1000 = 0.00137
Problem 19
Write [tex]\frac{17}{10}[/tex] as decimal number
Solution:
[tex]\frac{17}{10}= 17 \div 10 = 1.7[/tex]
Problem 20
Write [tex]\frac{127}{1000}[/tex] as decimal number.
Solution:
[tex]\frac{127}{1000} = 127 \div 1000 = 0.127[/tex]
Problem 21
Write [tex]3\frac{59}{100}[/tex] as decimal number.
Solution:
[tex]3\frac{59}{100}[/tex] = 3 + 59 ÷ 100 = 3 + 0.59 = 3.59
Problem 22
Write "eight tenths" as a decimal number.
Solution:
eight tenths = 0.8
Problem 23
Write "thirteen hundredths" as a decimal number.
Solution:
thirteen hundredths = 13 ÷ 100 = 0.13
Problem 24
2.6 × 5.8 =
Solution:
We do the multiplication without taking the decimal point into consideration. In the result, we put the decimal point over as many digits from right to left as there were after the decimal points of the numbers which are multiplied.
26 × 58 = 1508
2.6 × 5.8 = 15.08
Problem 25
12.4 × 1.76 =
Solution:
124 × 176 = 21824
12.4 × 1.76 = 21.824
Problem 26
3.6 ÷ 0.9 =
Solution:
We multiply both numbers with a power of 10 in order to eliminate the decimal point, then we divide.
3.6 ÷ 0.9 = 36 ÷ 9 = 4
Problem 27
6.25 ÷ 0.5 =
Solution:
We multiply both numbers with a power of 10 in order to eliminate the decimal point, then we divide.
(6.25 × 100) ÷ (0.5 × 100) = 625 ÷ 50 = 12.5
Problem 28
0.37 ÷ 37 =
Solution:
0.37 ÷ 37 = (0.37 × 100) ÷ (37 × 100) = 37 ÷ 3700 = 0.01
Easy
Normal
Submit a problem on this page.
Problem text:
Solution:
Answer:
Your name(if you would like to be published):
Email(you will be notified when the problem is published)
Notes
: use [tex][/tex] (as in the forum if you would like to use latex).
Correct:
Wrong:
Unsolved problems:
Feedback
Contact email:
Follow us on
Twitter
Facebook
Copyright © 2005  2023.