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We don't need that big a house.

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Is a or b, or both, correct below?

Is 'size' and adjective and 'noun' respectively?

a. We don't need that size a house.

b. We don't need that size house

Thanks
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(a) doesn't look right. (b) is tolerable, but I prefer "We don't need a house that size."

I don't think "size" can ever be an adjective.
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Mr WordyI don't think "size" can ever be an adjective.

Hi, this is basically what I wanted to know. If it could function as an adjective, it should be able to work as this does: We don't need that big a house.

I just assumed that because it is a noun, this must work: We don't need that size house.

But I have no idea how the word 'house' is functioning here...
English 1b3But I have no idea how the word 'house' is functioning here...
"that size house" is just another way of saying "a house of that size".
Oh, right, thanks, Mr Wordy

We don't need that amount of water.

We don't need water of that amount.

How come this noun requires a prepositon in both arrangements, but 'size' does not?
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English 1b3We don't need that amount of water.
We don't need water of that amount.
How come this noun requires a prepositon in both arrangements, but 'size' does not?
"water of that amount" isn't right, by the way, but I don't why "size" and "house" can be abutted in "that size house", and I don't think there many analogous examples. I suppose you could say "that length piece of wood"? Some examples may become marginal.