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Which of the following number sentences is an example of the associative property? Select all that apply.


(1(2)/(5)*3(1)/(2) )*4=1(2)/(5) (3(1)/(2) *4)


2.5*(1.8+6.3)=(2.5*1.8)+(2.5*6.3)

10(4.6 × 3) = (10 × 4.6) × 3

6.3 × 1 = 6.3

Which of the following number sentences is an example of the associative property-example-1
User Agyemang
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7.7k points

2 Answers

6 votes

Associative property:-

  • a+(b+c)=(a+b)+c

Lets check one by one

#1

Here the rule is

  • (ab)c=a(bc)

Hence Yes associative property

#2

Here the rule is

  • a(b+c)=ab+ac

Hence no it's distributive property

#3

  • a(bc)=(ab)c

Yes

#4

  • ab=ba

No

User Andrey Yatsenko
by
8.3k points
13 votes

Associative property meaning rearranging the parentheses in an expression which will not change the result.

✔A)


\rightarrow \sf (1(2)/(5) \ x \ 3(1)/(2) ) \ x \ 4 = 1(2)/(5) (3(1)/(2) \ x \ 4 )


\rightarrow \sf (98)/(5) = (98)/(5)

This uses associate property as it is rearranged in a different way and result same.

B)


\rightarrow \sf 2.5 \ x \ (1.8 +6.3) = (2.5 \ x \ 1.8)+(2.5 \ x \ 6.3 )

This property is called distributive property. a(b + c) = a(b) + a(c)

✔C)


\sf \rightarrow 10(4.6 \ x \ 3) = (10 \ x \ 4.6) \ x \ 3


\sf \rightarrow 138 = 138

associate property as the following is rearranged inside the parentheses

D)


\rightarrow \sf 6.3 \ x \ 1 = 6.3

This does not fall under any method or else multiplicative identity property.

User Anabar
by
8.5k points

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