Figure 1-6. - Powers of 2 exercise.

b. **Place.**

(1) General. In any number system, be it binary or decimal, the value of a

digit is determined by its place, that is, where it stands in relation to the other digits in

the number. Place value is the backbone of arithmetic. The first thing you do before

adding or subtracting is make sure that the digits line up properly according to their

place value.

(2) Decimal system. In the decimal system, each position to the left of the

decimal point indicates an increased power of 10. The first place to the left of the

decimal is 10 or 1. (This is the units place.) The second place to the left of the decimal

is 101 or 10 (the tens place). The third place to the left is 102 or 100 (the hundreds

place). And the fourth place to the left is 103 or 1000 (the thousands place).

Figure 1-7. Each position to the left of the decimal indicates an increased power of 10.

(a) What would the fourth place to left of the decimal be? You were

right if you said 104 or 10x10x10x10, which is 10,000.

MD0058

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