Podcast
Questions and Answers
Which property of whole numbers is demonstrated by the equation $5 \times (2 + 3) = (5 \times 2) + (5 \times 3)$?
Which property of whole numbers is demonstrated by the equation $5 \times (2 + 3) = (5 \times 2) + (5 \times 3)$?
- Distributive Property (correct)
- Associative Property
- Commutative Property
- Closure Property
A farmer has 3 fields. Field A has 15 cows, field B has 12 cows, and field C has 8 cows. Using the associative property of addition, which expression demonstrates how the farmer can group the fields to find the total number of cows?
A farmer has 3 fields. Field A has 15 cows, field B has 12 cows, and field C has 8 cows. Using the associative property of addition, which expression demonstrates how the farmer can group the fields to find the total number of cows?
- 15 × (12 + 8) = (15 × 12) + (15 × 8)
- (15 + 12) + 8 = 15 + (12 + 8) (correct)
- 15 + 12 = 12 + 15
- 15 + 12 + 8 = 15 + 8 + 12
A pizza is cut into 8 equal slices. If you take 2 slices and your friend takes 3 slices, what geometric shape are you primarily working with when considering the whole pizza?
A pizza is cut into 8 equal slices. If you take 2 slices and your friend takes 3 slices, what geometric shape are you primarily working with when considering the whole pizza?
- Polygon
- Triangle
- Quadrilateral
- Circle (correct)
Which of the following statements is NOT true regarding whole numbers and the properties that apply to them?
Which of the following statements is NOT true regarding whole numbers and the properties that apply to them?
If a builder is designing a roof with an angle that is greater than 90 degrees but less than 180 degrees, what type of angle is being used?
If a builder is designing a roof with an angle that is greater than 90 degrees but less than 180 degrees, what type of angle is being used?
In a park design, a circular flower bed has a diameter of 10 feet. A path cuts straight across the flower bed through the center. What is the length of this path?
In a park design, a circular flower bed has a diameter of 10 feet. A path cuts straight across the flower bed through the center. What is the length of this path?
A gardener is planning a garden bed in the shape of a quadrilateral where opposite sides are parallel and all sides are of equal length, but the angles are not right angles. Which shape best describes this garden bed?
A gardener is planning a garden bed in the shape of a quadrilateral where opposite sides are parallel and all sides are of equal length, but the angles are not right angles. Which shape best describes this garden bed?
A city planner is designing a new park with a playground shaped like a triangle. Two sides of the triangle are equal in length. What type of triangle is the playground?
A city planner is designing a new park with a playground shaped like a triangle. Two sides of the triangle are equal in length. What type of triangle is the playground?
Which of the following statements is NOT always true regarding integers?
Which of the following statements is NOT always true regarding integers?
A rectangle has a length of 8 cm and a width of 5 cm. If the length is increased by 2 cm and the width is decreased by 1 cm, how does the area change?
A rectangle has a length of 8 cm and a width of 5 cm. If the length is increased by 2 cm and the width is decreased by 1 cm, how does the area change?
Which of the following shapes is defined by having only one pair of parallel sides?
Which of the following shapes is defined by having only one pair of parallel sides?
Which of the following operations will always result in a value greater than the original fraction, assuming the fraction is a positive proper fraction?
Which of the following operations will always result in a value greater than the original fraction, assuming the fraction is a positive proper fraction?
What is the value of the expression $3x + 5$ when $x = -2$?
What is the value of the expression $3x + 5$ when $x = -2$?
Which 3D shape can be formed by folding a flat net consisting of one square and four congruent triangles, where each triangle's base is a side of the square?
Which 3D shape can be formed by folding a flat net consisting of one square and four congruent triangles, where each triangle's base is a side of the square?
A set of data consists of the following values: 5, 8, 12, 6, 9. What is the range of this data set?
A set of data consists of the following values: 5, 8, 12, 6, 9. What is the range of this data set?
After simplifying, which of the following fractions is equivalent to $\frac{24}{36}$?
After simplifying, which of the following fractions is equivalent to $\frac{24}{36}$?
Simplify the expression: $5.25 + 3.8 - 1.55$
Simplify the expression: $5.25 + 3.8 - 1.55$
A class has 25 students. If 15 students like apples and 10 students like bananas, and no student likes both, what percentage of students do not like either apples or bananas?
A class has 25 students. If 15 students like apples and 10 students like bananas, and no student likes both, what percentage of students do not like either apples or bananas?
Flashcards
Natural Numbers
Natural Numbers
Numbers 1, 2, 3, and so on, continuing infinitely.
Whole Numbers
Whole Numbers
The set of natural numbers plus zero: 0, 1, 2, 3,...
Closure Property
Closure Property
The property where the sum or product of two whole numbers is also a whole number.
Commutative Property
Commutative Property
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Associative Property
Associative Property
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Distributive Property
Distributive Property
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Point
Point
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Acute Angle
Acute Angle
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Square
Square
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Rectangle
Rectangle
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Parallelogram
Parallelogram
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Trapezoid
Trapezoid
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Integers
Integers
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Fraction
Fraction
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Decimals
Decimals
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Data
Data
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Perimeter
Perimeter
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Area
Area
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Description
Explore the basics of whole numbers, including their definition, properties, and fundamental operations. Learn about natural numbers, the number line, and key properties like closure, commutativity, and associativity. This covers basic arithmetic principles.
