2*(6 + 10) = 2*6 + 2*10 = 12 + 20 = 32.
9(10+3)
2f + 10 in distributive property
2k + 10 is an expression. The distributive property is a property of one binary operation (typically multiplication, or right-division) over another (addition or subtraction) for elements of a set (numbers); not a property of expressions.
The distributive property states that when you multiply a number by a sum, you can distribute the multiplication across the terms of the sum. For example, to apply the distributive property to the expression 24 + 40, you might express it as 24 + 40 = 24 + (30 + 10) = (24 + 30) + 10. However, in this case, the distributive property isn't directly applicable since there is no multiplication involved. If you wanted to use the property, you would need to introduce a multiplication factor, such as expressing 2(24 + 40).
12*56 Use the distributive property on 12: (10+2)*56 = 10*56 + 2*56 Use the distributive property on 56 twice: 10*(50+6) + 2*(50+6) = 10*50 + 10*6 + 2*50 + 2*6 = 500 + 60 + 100 + 12 = 672
19*14 = 19*(10 + 4) = 19*10 + 19*4 = 190 + 76 = 266 (You could use the distributive property again to split 19 into 10 + 9 but that is multiplying by 19 is simple enough and using the distributive property for that is just laziness.
The distributive property states that when you multiply a number by a sum, you can distribute the multiplication to each addend. For example, 4 times 15 can be expressed as 4 times (10 + 5). Using the distributive property, this equals 4 times 10 plus 4 times 5, which is 40 + 20, resulting in 60.
10+9x70
10*46 = 10*(40+6) = 10*40 + 10*6 (using the distributive property) = 400 + 60 = 460 Except that to multiply by 10 you should not need the ditributive property!
3*4 + 3*6 = 3*(4 + 6) = 3*10 = 30
Whether or not the distributive property can or should be used depends on what you wish to multiply 43.2 by. For example, if you wish to multiply 43.2 by 10, the distributive property is irrelevant!
To use the distributive property to solve (10 \times 147), you can break down 147 into two simpler components, such as (100 + 40 + 7). Then, apply the distributive property: [ 10 \times 147 = 10 \times (100 + 40 + 7) = (10 \times 100) + (10 \times 40) + (10 \times 7). ] Calculating each term gives (1000 + 400 + 70 = 1470), so (10 \times 147 = 1470).