By Iyanaga S. (ed.)

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Of that amount, $949,239 million came from individual income taxes. How much came from other sources? Solution $1946 billion equals $1,946,000,000,000. This number minus $949,239 million, which is $949,239,000,000, would be $996,761,000,000. It is more convenient in this case to work with millions of dollars. 1946 billion = 1,946,000 million. Now subtract 949,239 million from that. The answer is $996,761 million. If your calculator cannot handle the largest numbers, you can either solve the problem by hand or round the numbers you work with to the same place.

5. 6. 7. 8. 7 + 4 × 5 = 55 2×6−3=6 3 × 4 + 2 × 1 = 18 18 ÷ 5 − 3 = 9 16 − 8 ÷ 4 = 2 8 × 7 ÷ 4 = 14 24 ÷ 3 × 2 = 4 8÷2÷2=8 The following problems are missing both operations and parentheses. 6666=5 has to be changed to (6 × 6 − 6) ÷ 6 which is the same as (36 − 6) ÷ 6 = 30 ÷ 6 = 5. 3 Insert operations and parentheses to give a true statement. 1. 2. 3. 4. 5. 6. 6 6 4 4 1 1 6 6 4 4 1 1 6 6 4 4 1 1 6=8 6 = 13 4=2 4 = 17 1=2 1=3 CHECK POINT This first chapter is rather long, so we break here for a summary.

5. 6. 7. 8. 7 + 4 × 5 = 55 2×6−3=6 3 × 4 + 2 × 1 = 18 18 ÷ 5 − 3 = 9 16 − 8 ÷ 4 = 2 8 × 7 ÷ 4 = 14 24 ÷ 3 × 2 = 4 8÷2÷2=8 The following problems are missing both operations and parentheses. 6666=5 has to be changed to (6 × 6 − 6) ÷ 6 which is the same as (36 − 6) ÷ 6 = 30 ÷ 6 = 5. 3 Insert operations and parentheses to give a true statement. 1. 2. 3. 4. 5. 6. 6 6 4 4 1 1 6 6 4 4 1 1 6 6 4 4 1 1 6=8 6 = 13 4=2 4 = 17 1=2 1=3 CHECK POINT This first chapter is rather long, so we break here for a summary.

### Algebraic number theory Proceedings Kyoto by Iyanaga S. (ed.)

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