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Tomtit [17]
4 years ago
6

Select the number property that will justify the step in the following expression.

Mathematics
2 answers:
Airida [17]4 years ago
7 0
Two of the numbers were switched in a multiplication equation, so the answer would be commutative- multiplication. 
LekaFEV [45]4 years ago
4 0
<h2>Answer:</h2>

The number property that justifies the step in the following expression is:

          Commutative-Multiplication

<h2>Step-by-step explanation:</h2>

We are given a steps to solve the problem as follows:

            4 • 13 • 25 =

           4 • 25 • 13 =  

        100 • 13 = 1,300

We know that the commutative property under multiplication states that:

If a and b are two real numbers then:

     a\cdot b=b\cdot a

i.e. the multiplication of two real numbers are always equal no matter in which order they are applied.

Here in the second step the order 13 and 25 are changed.

and then they are operated.

                <em>     Hence, the property is:</em>

<em>                    Commutative-Multiplication.</em>

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Answer:

16.   137

17.    89

18.   168

19.   50

20.  8

21.   96

22.   39

23.   5

24.   -2

25.   7

Step-by-step explanation:

We have to follow BODMAS which is the acronym for Bracket, Of, Division, Multiplication and Subtraction.

We have to perform our calculations in this order. i.e., Solve the calculations in a bracket first then of and so on.

a = 12; b = 9; c = 4

16. a² + b - c²          = (12)² + 9 - 4²      = 144 + 9 - 16 = 153 - 16      = 137

17. b² + 2a - c²        = 81 + 2(12) - 16    = 81 + 24 - 16 = 105 - 16      = 89

18. 2c(a + b)           = 2 · 4 (12 + 9)      = 8(21)                                  = 168

19. 4a + 2b - c²      = 4(12) + 2(9) - 4²  = (48 + 18 - 16 = 66 - 16       =  50

20. [a² ÷ (4b)] + c  = [12² ÷ 4(9)] + 4 = [144 ÷ 36] + 4 = 4 + 4          = 8

21. c²(2b - a)          = 4²(2(9) - 12) = 4²(18 - 12) = 16(6)                     = 96

22. [bc² + a] ÷ c     = [9(4²) + 12] ÷ 4 = [9(16) + 12] ÷ 4 = 156 ÷ 4     = 39

23. [2c³ - ab] ÷ 4   = [2(4)³ - 12(9)] ÷ 4 = [2(64) - 108] ÷ 4

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25. [b² - 2c²] ÷ [a + c - b]

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Step-by-step explanation:

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