Then for the Expansion with 4°, on .178 Tenths, say,

If the Expansion with 4°, on .1 Tenth above 24 Inches gives .00004 Part of an Inch, what will the Expansion with 4°, on .178 give?

Thus; .1 : .00004 :: .178?

Multiply the two last Terms, thus:

.00004
.178
————
00032
00028
00004
————
0000712:

and, as in Multiplication of Decimals, the Product must have as many decimal Places, as are in the Factors; a Cypher must be added to the left Hand, thus: .00000712: but having divided that Product by the first Term .1, viz. a Decimal, the Answer is a Cypher less; viz. .0000712.

This Answer is the Expansion with 4°, on .178 Tenths of an Inch above 24 Inches: prepare it for Addition, as the former,

24.178
.0097
.0000712

practice of the first Part of Case the 2d.

394. For the Expansion of .6 Tenths of a Degree of Heat, (more than the 4 Degrees) on 24 Inches of the coldest Barometer; it shoud be considered where such Tenths can lie in the Table.