Which expression shows how to use place value and the distributive property to find 11(34)? a. 10(1) + 30(4) b 10(30) + 1(4) c 11(3) + 1(4) d 11(30) + 11(4)

D ) 11 (30) + 11 (4) .

Step-by-step explanation:

Given  : 11(34).

To find : Which expression shows how to use place value and the distributive property.

Solution : We have given  11(34).

We can see 3 is at ten place  30 and 4 is at ones place .

We can write the 34 as 30 + 4.

11 ( 30 + 4) .

Using Distributing property : a ( b +c) = ab + ac .

11 ( 30 + 4)  = 11 (30) + 11 (4) .

Therefore, D ) 11 (30) + 11 (4) .

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explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.