3×(800+10+9)=2,400+30+27=2,457
(5 x 6) + (2 x 6) = 7 x 6 = 42
The distributive property states that a(b + c) = ab + ac. In the case of 16 plus 48, we can factor out a common factor, like 16, to simplify the addition: 16 + 48 can be expressed as 16(1 + 3) since 48 is 16 times 3. This shows how the distributive property can help break down and simplify calculations involving addition.
0.4*(7.5 + 40) = 19
You can use the distributive property to factor the expression (2l + 2w). By factoring out the common factor of 2, you can rewrite the expression as (2(l + w)). This shows that the sum of (2l) and (2w) can be expressed as twice the sum of (l) and (w).
To multiply 7 by 256 using expanded form and the distributive property, you can break down 256 into its place values: (256 = 200 + 50 + 6). Then, apply the distributive property: (7 \times 256 = 7 \times (200 + 50 + 6) = (7 \times 200) + (7 \times 50) + (7 \times 6)). This results in (1400 + 350 + 42).
The distributive property states that when you multiply a number by a sum, you can distribute the multiplication across each addend and then sum the results. In mathematical terms, this is expressed as ( a(b + c) = ab + ac ). This property shows the relationship between addition and multiplication by illustrating how multiplication interacts with addition, allowing for simplified calculations and the rearrangement of expressions.
3 x 7 = 3 x (5 + 2) And since multiplication is distributive over addition, 3 x (5 + 2) = 3 x 5 + 3 x 2
It shows the Commutative property.
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).
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.
To multiply 7 times 256 using expanded form and the distributive property, we can break down 256 into its tens and units: (256 = 200 + 50 + 6). Then, we can express the multiplication as follows: (7 \times 256 = 7 \times (200 + 50 + 6) = 7 \times 200 + 7 \times 50 + 7 \times 6). This simplifies to (1400 + 350 + 42).
There's the commutative property of addition, which allows you to switch numbers around in an addition problem. 8+9 = 9+8 or a+b+c = c+a+b The associative property of addition allows you to move parentheses about. (a+b)+c = a+(b+c) The identity property of addition shows the following: a+0=a Dx1=D The inverse property of addition shows this: 5 + (-5) = 0