3 + 4x = 4x + 3 is an example of the commutative property of addition.
Fantine from Victor Hugo's "Les Misérables" is a dynamic character. Throughout the novel, she undergoes significant transformation as she experiences hardship and sacrifice for her daughter, Cosette. Her journey from a hopeful young woman to a tragic figure illustrates her depth and complexity, highlighting the impact of societal injustices on her life. This evolution in her character makes her dynamic rather than static.
A displacement vs. time graph illustrates the position of an object over time, with displacement on the vertical axis and time on the horizontal axis. A straight, sloped line indicates uniform motion, while a curve represents acceleration or deceleration. The slope of the line indicates the object's velocity; a steeper slope means higher velocity. When the line is horizontal, it shows that the object is at rest, with no change in displacement over time.
The displacement vs. time graph for an object thrown downward from a cliff is a curved line that starts at the initial height and slopes downward. As time progresses, the slope of the graph becomes steeper, reflecting the increasing speed of the object due to gravitational acceleration. The curve is concave upward, indicating that the object is accelerating as it falls. Overall, the graph illustrates a non-linear relationship between displacement and time.
This illustrates the associative property.
x times 1 = x illustrates the multiplicative identity property.
a * 0=0
Addition is commutative.
Where appropriate, it can simplify calculations, by allowing you to change the order of operations. 4 + 7 + 6 = 4 + 6 + 7 But 4 + 6 = 10 so the sum is 10 + 7 = 17. That is perhaps a trivial example, where the advantage of using these properties is marginal (at best) but it illustrates the principle.
15•(3÷b)=45÷b identify the property the statement illustrates
It illustrates the place-value property of numbers. 6 times 4 = 2*10^1 + 4*10^0 or 2 lots of tens plus 4 units.
24 + 12 + 6 = 42 This illustrates the associative property which states that: (a + b) + c = a + (b + c) so that either can be written, without parentheses (brackets), as a + b + c
The expression ( 3(7)3(20) - 3(3) ) illustrates the distributive property of multiplication over addition and subtraction. It shows how to break down and simplify expressions by factoring out a common term, which in this case is ( 3 ). This property is useful for simplifying calculations and understanding relationships between numbers.
The distributive property states that a number multiplied by a sum can be distributed to each addend separately and then summed. For example, in the expression (a(b + c)), you can decompose it to (ab + ac). This illustrates how you can break down a larger problem into smaller, manageable parts, making calculations easier and more intuitive. Essentially, it shows the relationship between composing numbers (adding them together) and decomposing them (breaking them into parts for easier multiplication).
Nick Sharratt illustrates Hetty Feather.
"And sings a solitary song" is a line that illustrates alliteration.