Help quick plz
Which of the following expressions is equivalent to 6(94)+7+(3+2)
2+(3+7)+4(69)
9(64)+2+(73)
(6+7)(94)+3+2
What properties of real numbers does this example show?
6(94)+7+(3+2) doesn't equal 576... it equals 1,227.
Which would mean (C.) (6+7)(94)+3+2 is equal to 6(94)+7+(3+2).
To determine which expression is equivalent to 6(94)+7+(3+2), let's simplify each option one by one:
Option 1: 2+(3+7)+4(69)
To simplify this expression, we can first evaluate the parentheses:
2+(3+7)+4(69) = 2+10+4(69)
Next, we can perform the multiplication inside the parentheses:
2+10+4(69) = 2+10+276
Finally, we can add the numbers:
2+10+276 = 288
Option 2: 9(64)+2+(73)
To simplify this expression, we can first perform the multiplication:
9(64)+2+(73) = 576+2+73
Next, we can add the numbers:
576+2+73 = 651
Option 3: (6+7)(94)+3+2
To simplify this expression, we can first evaluate the parentheses:
(6+7)(94)+3+2 = 13(94)+3+2
Next, we can perform the multiplication:
13(94)+3+2 = 1222+3+2
Finally, we can add the numbers:
1222+3+2 = 1227
Therefore, the expression that is equivalent to 6(94)+7+(3+2) is (6+7)(94)+3+2.
Regarding the properties of real numbers used in this example, we have used the properties of addition (commutative property, associative property), multiplication (commutative property, associative property), and distributive property. Specifically:
- The commutative property of addition states that the order of the numbers can be changed without affecting the result. For example, we can add 3 and 7 or 7 and 3 in any order.
- The associative property of addition states that the grouping of numbers can be changed without affecting the result. For example, we can group (3+7) or (7+3) and then add to the other numbers.
- The commutative property of multiplication states that the order of the numbers can be changed without affecting the result. For example, we can multiply 6 and 94 or 94 and 6 in any order.
- The associative property of multiplication states that the grouping of numbers can be changed without affecting the result. For example, we can group (6+7) or (7+6) and then multiply by 94.
- The distributive property states that when a number is multiplied by a sum of two numbers, it is equivalent to multiplying the number by each of the individual numbers and then adding the results. For example, we can distribute the multiplication of (6+7) and 94 by multiplying 6 by 94 and 7 by 94 separately, and then adding the results.
These properties help in simplifying the expressions and obtaining the correct equivalent expression.
None of them
6(94)+7+(3+2)
= 564 + 7 + 5
= 564 + 12
=576
I fail to see the point of this question.