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6th grade math has 172 lessons - and each lesson has 500 problems, explanations, and an instructional video.
Fractions, Mixed Numbers, And Decimals
29 lessons
Fractional parts of a number
Find the fractional part of the number. Write your answer as a decimal.
4
5
of 2 =
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Equivalent Fractions
What fraction is equal to
9
6
?
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Simplest form
What fraction is equal to
24
28
?
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Comparing Fractions
Choose the answer that correctly fills in the blank.
4
6
4
4
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Mixed Numbers
What fraction does 5
6
7
equal?
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Add and Subtract Fractions
3
6
+
7
6
=
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Fractions and decimals
Write the fraction or mixed number as a decimal
1
10
=
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Mixed Numbers and Decimals
Write the fraction or mixed number as a decimal
1
6
10
=
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Compare Decimals
Choose the answer that correctly fills in the blank.
8.58
2.6
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Compare Decimals to Fractions
Choose the answer that correctly fills in the blank.
38
10
4
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Round decimals
Round to the underlined digit
4.
4
109 =
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Add and Subtract Decimals
Fill in the blank.
1.5 + 0.63 =
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Mixed Numbers and Improper Fractions
Is
7
6
a proper fraction, an improper fraction, or a mixed number?
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Equivalent Fractions
What fraction is equal to
9
6
?
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Simplest Form
What fraction is equal to
24
28
?
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Comparing Fractions
Choose the answer that correctly fills in the blank.
4
6
4
4
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Equivalent Fractions and Decimals
Write the fraction
34
100
as a decimal.
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Comparing Decimals, Fractions, and Mixed Numbers
Fill in the blank with < or > or =
0.71
1
5
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Equivalent Fractions
Which of the following is equivalent to
3
7
?
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Ordering Fractions
Rewrite the fractions using the
lowest common denominator
. Then, fill in the comparison using >, < or =.
3
5
=
2
3
=
3
5
2
3
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Ordering Mixed Numbers
Fill in the blank with < or >.
4
5
10
37
10
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Equivalent Fractions and Decimals
0.62 =
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Adding and Subtracting Fractions Review
3
6
+
7
6
=
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Adding Mixed Numbers Review
Fill in the blank. Your answer should be a mixed number in simplest form.
6
7
20
+
6
20
=
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Subtracting Mixed Numbers Review
Solve the equation. Give your answer as a mixed number in
simplest form
.
9
5
7
- 8
4
7
=
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Multiplying Fractions and Mixed Numbers Review
Solve the equation. Give your answer as a fraction in
simplest form
.
1 ×
4
6
=
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Dividing Fractions and Mixed Numbers Review
Solve the equation. Give your answer in
simplest form
.
2 ÷
1
5
=
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Adding and Subtracting Decimals Review
Fill in the blank.
1.5 + 0.63 =
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Multipling and Dividing Decimals Review
Multiply
0.4 × 0.3 =
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Algebra
22 lessons
Expressions using parentheses
Evaluate the expression
(735 + 688) + 240
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Adding equals to both sides of an equation
(936 + 426) + 255 = 936 +
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Evaluating expressions with all four operations
Evaluate the expression.
6 + 5 + (9 - 8) × 8
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Using variables and evaluating expressions using variables
Evaluate the expression
a - 1 =
, where a=3
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Order of Operations
12 + 3 × 5 =
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Expressions in Word Problems
Write an algebraic expression that describes the following word phrase, using the letter `a` for the unknown number.
nine times a number minus two =
a -
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Equations with variables
Solve the equation.
x + 14 = 14, x =
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Distributive Property
Use the distributive property to fill in the blank.
2 × 26 = (2 × 18) + (2 ×
)
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Commutative Properties of Addition and Multiplication
Fill in the blank.
54 × 73 = 73 ×
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Associative Properties of Addition and Multiplication
Fill in the blank.
48 + (2 + 50) = (48 + 2) +
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Identity Properties and Multiplication by Zero
Fill in the blank.
3,894 + 0 =
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Rounding Decimals
Round to the underlined digit
4.
4
109 =
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Estimating decimal addition and subtraction
Estimate the sum by rounding each number to the nearest whole. Give your answer as a whole number.
5.474 + 3.957 ≈
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Order of Operations Review
12 + 3 × 5 =
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Properties Review
Use the distributive property to fill in the blank.
2 × 26 = (2 × 18) + (2 ×
)
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Algebraic Expressions
Evaluate the expression
-3x - 14
when x = 11.
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Simplifying Algebraic Expressions
In the expression -21x + 37, what is the coefficient of x?
What is the constant term?
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Algebraic Formulas
Use the formula P = 2l + 2w to find the perimeter of a rectangle with the following dimensions: Length 9, Width 17 =
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Solving Addition and Subtraction Equations
Solve the equation.
x + 12 = 15, x =
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Solving Multiplication and Division Equations
Solve the equation.
7y = 7 × -1, y =
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Ratios
How would you write the ratio of 32 to 73 in ratio form? Do not simplify the ratio.
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Cross Products
Solve for x.
x
30
=
19
15
, x =
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Factoring And Multiples
14 lessons
Factoring
1 × 56 =
2 × 28 =
4 × 14 = 56
7 × 8 = 56
8 × 7 = 56
14 × 4 = 56
28 × 2 = 56
56 × 1 = 56
The factors of 56, from least to greatest, are 1, 2,
, 7,
, 14, 28, 56
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Multiples
List the next three multiples of the number 9.
9, 18,
,
,
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Factoring review
1 × 56 =
2 × 28 =
4 × 14 = 56
7 × 8 = 56
8 × 7 = 56
14 × 4 = 56
28 × 2 = 56
56 × 1 = 56
The factors of 56, from least to greatest, are 1, 2,
, 7,
, 14, 28, 56
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Factors vs. Multiples
Fill in the blank with the correct word.
6 is a
of 18
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Basic Exponents
What is the value of 1
^{5}
?
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Prime Factorization and Exponents
What is the prime factorization of 67 ordered from least to greatest?
,
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Prime and composite numbers
If you know 79 is prime, what are the factors for 79 ordered from least to greatest?
,
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Greatest Common Factors
What is the greatest common factor of 64 and 24?
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Prime and Composite Numbers Review
If you know 79 is prime, what are the factors for 79 ordered from least to greatest?
,
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Prime Factorization and Exponents Review
What is the value of 1
^{5}
?
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Greatest Common Factors Review
What is the greatest common factor of 64 and 24?
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Greatest Common Factors of Three Numbers
What is the greatest common factor of 16, 24 and 24?
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Least Common Multiples
What is the least common multiple of 5 and 50?
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Least Common Multilpes of Three Numbers
Find the least common multiple of 2, 5, and 25.
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Integers
6 lessons
Comparing Rational Numbers
Fill in the blank with < or >.
-19
9
13
4
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Integers
What is the opposite of the integer -4?
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Absolute Value and Adding Integers
What is the absolute value of the integer 17?
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Subtracting Integers
Find the difference.
-4 - 9 =
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Multipling Integers
Find the product.
-4 × -2 =
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Dividing Integers
What is the value of 0 ÷ -12?
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Geometry
36 lessons
Identify Solid Figures
Identify the shape of the figure:
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Identify Shapes
What is the name of the figure?
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Counting Sides and Vertices of Plane Shapes
How many sides in the figure?
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Counting Vertices, Edges, Faces
How many vertices in the figure?
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Comparing Vertices, Edges, Faces
Which figure has more vertices?
Figure 1
Figure 2
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Plane Shapes and Solid Figures
What shape can you trace from this solid figure?
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Polygons
Classify the polygon.
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Perimeter of Squares
Find the perimeter of the shaded figure.
units
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Perimeter of Shapes
Find the perimeter of the figure.
cm
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Area of Squares
Find the area of the shaded figure.
square units
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Area of Shapes
What is the area of a rectangle with length 4yd and width 5yd?
yd
^{2}
.
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Triangles
Identify the type of triangle.
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Quadrilaterals
Identify the type of quadrilateral.
10m
10m
10m
10m
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Solid Figures
Identify the solid figure.
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Faces, Edges, Vertices
For the given figure, find the number of faces, edges, and vertices:
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Identify Solid Figures
Identify the figure:
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Polygon Review
Classify the polygon.
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Lines, Line Segments, Rays
Is this figure a line, line segment or ray?
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Parallel, Perpendicular, Intersecting Lines
Which answer
most
accurately describes the figure shown?
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Angles
Classify this angle as right, acute or obtuse:
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Triangles Review
Identify the type of triangle.
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Quadrilaterals Review
Identify the type of quadrilateral.
10m
10m
10m
10m
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Circle Parts
Identify the part of the circle.
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Congruence
Are these shapes congruent?
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Angles Review
Classify this angle as right, acute or obtuse:
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Estimating Angles
Estimate the measure of the angle:
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Parallel, Perpendicular, Intersecting Lines
If angle X = 132, then angle Y =
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Triangles Review
Identify the type of triangle.
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Triangle Angles
Find the value of
x
.
degrees
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Quadrilateral Angles
Find the value of
x
.
degrees
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Area of Triangles
What is the area of this triangle?
cm
^{2}
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Area of Parallelograms and Trapezoids
What is the area of this trapezoid if the height is 8 ft?
ft
^{2}
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Volume of Cubes and Rectangular Prisms
What is the volume of this cube with width = 6m?
m
^{3}
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Surface area of Cubes and Rectangular Prisms
What is the surface area of this cube with width = 4yd?
yd
^{2}
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Circumference of a Circle
What is the circumference of a circle with diameter = 12m, using 3.14 for
?
m
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Area of a Circle
What is the area of a circle with radius = 7m, using 3.14 for
?
m
^{2}
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Percents
3 lessons
Percents
Write 3% as a fraction without simplifying =
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Percents and Decimals
Write 85.89% as a decimal.
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Percents and Word Problems
If the sales tax is 8%, how much do you pay in tax when you buy something listed at $100? $
How much do you pay in total? $
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Units
3 lessons
Unit Conversion With Metric Units
22.93 kilometers is equal to how many meters?
meters
How many centimeters?
centimeters
Hint: 1 km = 1,000 m, and 1 m = 100 cm
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Unit Conversion With English Units
Fill in the blank. Round to the nearest tenth.
69 in =
ft
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Unit Conversion Between Metric and English
Fill in the blank. Round to the nearest whole number.
30 mi =
km. Hint: 1 mi ≈ 1.609 km
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Probability
2 lessons
Mean, Median and Mode Reviews
What is the mean of the set { 11, 10, 7, 9, 13 }?
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Probability
What is the probability of rolling 2 when you roll one die?
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Adding And Subtracting Fractions And Mixed Numbers
8 lessons
Adding and Subtracting Fractions with like Denominators
3
6
+
7
6
=
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Adding and Subtracting Fractions with unlike Denominators
When adding the fractions
6
9
and
1
8
, what denominator will your answer have in simplest form?
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Adding Fractions with Sums Greater Than One
Fill in the blank. Your answer should be a mixed number in simplest form.
4
7
+
1
2
=
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Adding Fractions and Mixed Numbers
Fill in the blank. Your answer should be a mixed number in simplest form.
6
7
20
+
6
20
=
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Adding two mixed numbers
Fill in the blank. Your answer should be a mixed number in simplest form.
4
4
9
+ 2
1
2
=
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Subtracting Mixed Numbers from Integers
Solve the equation. Give your answer as a mixed number in
simplest form
.
9 - 7
2
3
=
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Subtracting mixed numbers with like denominators
Solve the equation. Give your answer as a mixed number in
simplest form
.
9
5
7
- 8
4
7
=
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Subtracing Mixed Numbers with Unlike Denominators
Solve the equation. Give your answer as a mixed number in
simplest form
.
9
1
2
- 1
2
9
=
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Multiplying And Dividing Fractions And Mixed Numbers
7 lessons
Multiplying Fractions
Solve the equation. Give your answer as a fraction in
simplest form
.
1 ×
4
6
=
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Multiplying With Mixed Numbers
Solve the equation. Give your answer as a fraction in
simplest form
.
3
2
4
×
1
5
=
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Multiplying Two Mixed Numbers
Solve the equation. Give your answer as a mixed number in
simplest form
.
1
2
4
× 2
4
5
=
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Dividing Integers By Fractions
Solve the equation. Give your answer in
simplest form
.
2 ÷
1
5
=
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Dividing fractions by integers
Solve the equation. Give your answer as a fraction in
simplest form
.
8
9
÷ 10 =
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Dividing fractions by fractions
Solve the equation. Give your answer as a fraction in
simplest form
.
2
4
÷
7
9
=
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Dividing fractions and mixed numbers
Rewrite the expression to use multiplication, using improper fractions if necessary.
3
4
8
÷ 2
6
7
=
8
×
7
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Decimal Operations
8 lessons
Adding and Subtracting Decimals
Fill in the blank.
1.5 + 0.63 =
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Multiplying Decimals By Integers
Multiply
1 × 0.4 =
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Multiplying Decimals By Decimals
Multiply
0.4 × 0.3 =
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Whole Numbers Dividing Into Decimals
Divide. Do not round your answer.
11 ÷ 8 =
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Dividing Decimals by Whole Numbers
Find the solution.
0.35 ÷ 7 =
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Dividing Whole Numbers By Decimals
Find the solution.
15 ÷ 0.6 =
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Dividing Decimals By Decimals
Solve.
1.5 ÷ 0.3 =
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Dividing With Powers Of Ten
4 ÷ 2 =
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Number Sense
28 lessons
Basic Comparison
Choose the best answer.
10 is
7
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Tens and Ones Places
Fill in the blanks.
The number 17 has
ten and
ones.
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Greater Than & Less Than
What words should fill in the blank?
84
81
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Ordering Numbers
Put these numbers in order from lowest to greatest.
72, 70, 83
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Comparison and Ordering, to Two Hundred
What words should fill in the blank?
66
59
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Rounding to the Nearest Ten
Round to the nearest ten.
95 rounds to
.
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Even and Odd Numbers
Is 98 an even number or an odd number?
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Place Value Through Hundreds
What number has 9 hundreds, 8 tens, and 0 ones?
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Comparing Numbers up to One Thousand
Fill in the blank with <, >, or =.
699
630.
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Counting By Twos, Fives and Tens
What comes next? Count two at a time.
85, 87, 89,
,
,
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Patterns and Counting By Twos, Fives and Tens
Fill in the blanks to complete the pattern.
60, 59,
, 57,
,
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Review Place Value Below One Thousand
What number has 9 hundreds, 8 tens, and 0 ones?
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Place Value Below Ten Thousand
What number has 8 thousands, 1 hundreds, 2 tens, and 8 ones?
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Comparing Numbers Below Ten Thousand
Fill in the blank
1,612
9,270
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Rounding
Round 8,360 to the nearest ten.
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Rounding and Estimation
Estimate the sum by rounding each number to the nearest ten.
13 + 59 =
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Place value through hundred thousands
Arrange the following numbers from greatest to least.
5,970; 3,504; 2,858; 7,212; 8,114
,
,
,
,
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Place value through hundred millions
Complete the patterns by filling in the blanks.
112,022,496; 112,023,496;
; 112,025,496;
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Comparing whole numbers
Choose the answer that correctly fills in the blank.
436,583,279
422,403,705
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Rounding whole numbers
Fill in the blank.
98 is
when rounded to the nearest ten
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Addition using commutative, associative, and zero properties
Evaluate the expression
984 - 317 - 0
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Estimation for addition
Round off each number to the hundreds. Then perform the math function to estimate the result
998 - 923 =
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Estimation for subtraction
Estimate the difference of the equation below by rounding each number to the hundreds place.
5,653 - 4,517 =
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Comparing Negative Numbers
Choose the answer that correctly fills in the blank.
-1
-6
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Probability
If there are 2 squares, 8 triangles, and 4 circles in a box, what is the probability of choosing a square? Do not simplify.
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Place Value Through Billions
Choose the answer that correctly fills in the blank.
436,583,279
422,403,705
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Place Value Through Thousandths
In the number 702.470, which digit is in the tenths place?
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Rounding Whole Numbers
Fill in the blank.
98 is
when rounded to the nearest ten
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Other
6 lessons
Squares
7 × 7 = 7 with the exponent of
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Powers of Ten
3 × 5 =
3 × 50 =
3 × 500 =
3 × 5,000 =
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Unit Conversion
How many minutes are there in 7 hours?
minutes
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Metric Unit Conversion
How many grams are there in 9 kilograms?
grams
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Two Digit Divisors
39
)273
=
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Mean, Median and Mode
What is the mean of the set { 11, 10, 7, 9, 13 }?
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