16 + 28 = (4 x 4) + (4 x 7) = 4 x 11 = 44
45 + 30 (GCF = 15) = 15*3 + 15*2 = 15(3 + 2)
16 + 28 = (4 x 4) + (7 x 4) = 11 x 4 = 44
To use the distributive property to multiply 3 by 10, you can break down 10 into smaller, more manageable parts. For example, you can express 10 as 5 + 5. Then, apply the distributive property: (3 \times 10 = 3 \times (5 + 5) = (3 \times 5) + (3 \times 5) = 15 + 15 = 30). Thus, 3 times 10 equals 30.
40 + 44 = (4 x 10) + (4 x 11) = 4 x 21 = 84
The GCF of 20 and 35 is 5. That makes 20 + 35 (4 x 5) + (7 x 5) = 11 x 5, a needlessly complicated way of saying that 20 + 35 = 55
16 + 28 = (4 x 4) + (7 x 4) = 11 x 4 = 44
45 + 30 (GCF = 15) = 15*3 + 15*2 = 15(3 + 2)
49
5 x 5 = 25
42 + 63 = (2 x 21) + (3 x 21) = 5 x 21 = 105
4(5 + 9)
The distributive property states that a number can be multiplied by a sum or difference by distributing the multiplication across each term. For the numbers 28 and 42, you can express this as ( 28 \times (40 + 2) ) or ( 28 \times (30 + 12) ). Applying the distributive property, this becomes ( (28 \times 40) + (28 \times 2) ) or ( (28 \times 30) + (28 \times 12) ).
To write a simplified expression in factored form, first, identify common factors in the expression. Use techniques such as grouping, the distributive property, or factoring patterns (like difference of squares or trinomials) to rewrite the expression. Ensure that the expression is simplified by combining like terms before factoring. Finally, express the result as a product of its factors.
The distributive property is a red herring for this question: you do not need it! The distributive property is applicable when you have two binary operations - multiplication and addition, for example. This question has nothing of the sort. Perhaps you meant some other property.
21 = 3(7) = 3(2+5)
The distributive property states that you can distribute multiplication over addition. However, in the case of the expression "16 plus 72," you don't need to apply the distributive property directly since it involves only addition. Instead, you can simply add the two numbers together: 16 + 72 = 88. If you wanted to express it using the distributive property, you could factor out a common term, but it's not necessary for basic addition.
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).