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That’s right. “Falling back to regroup” is a respectable manoeuvre in the best military circles.
We have made the point that our ordinary way of writing numbers is really a form of shorthand. For example, the decimal number 946 is the short way of writing
9(102) + 4(101) + 6(100).
The expression, with the powers of 10 shown explicitly (that is, with the powers of 10 spelled out), is called the “expanded form” of the decimal number. The ordinary form, 946, contains only the coefficients that appear in the expanded form.
Similarly, the octal number 3728, for example, can also be written in expanded form showing the powers of 8 explicitly:
3728 = 3(82) + 7(81) + 2(80).
By “writing a number in expanded form” we mean to write it showing the powers of the base number explicitly, instead of showing only the coefficients of those powers as we ordinarily do.
Now return to Page 200 and choose the proper expanded form of 13.48.
