By Alan Graham

ISBN-10: 1444105035

ISBN-13: 9781444105032

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**Extra info for Basic Mathematics: Teach Yourself**

**Sample text**

This gives 13 in the units column. 5 13 –3 7 Subtract the units (13 – 7 = 6) and write the 6 in the units column. 5 13 –3 7 6 Subtract the tens (5 – 3 = 2) and write the 2 in the tens column. The answer: 26 40 TU 6 3 –3 7 5 13 3 7 2 6 Example 2 Calculate 534 – 147. Set out the sum in columns like this, marked units (U), tens (T) and hundreds (H). Try to subtract the units (4 – 7). However, because 7 is bigger than 4, you need to decompose one of the tens in the 534. HTU 5 3 4 –1 4 7 Reduce the 3 in the tens column to 2 and ‘carry’ the 1 ten over into the units column (shown here by a small ‘1’ beside the 4).

To divide, say, 5700 by 100, remove the ﬁnal 00. So 5700 ÷ 100 = 57. b Be aware that all even numbers can be divided by 2 (this is really what the term ‘even’ means). Thus, 36 is clearly even (since its ﬁnal digit is even) and so 36 ÷ 2 = 18. c Break it in two: The tip suggested for multiplication also applies to division. For example, suppose you want to divide 224 by 14. Since 14 is 2 × 7, you can ﬁrst divide by 2 (224 ÷ 2 = 112) and then divide by 7 (112 ÷ 7 = 16). PENCIL AND PAPER DIVISION Unlike pencil and paper addition, subtraction and multiplication, the usual written procedures for division are based on working from left to right, starting with the hundreds, then the tens and then the units.

So 320 ÷ 10 = 32. To divide, say, 5700 by 100, remove the ﬁnal 00. So 5700 ÷ 100 = 57. b Be aware that all even numbers can be divided by 2 (this is really what the term ‘even’ means). Thus, 36 is clearly even (since its ﬁnal digit is even) and so 36 ÷ 2 = 18. c Break it in two: The tip suggested for multiplication also applies to division. For example, suppose you want to divide 224 by 14. Since 14 is 2 × 7, you can ﬁrst divide by 2 (224 ÷ 2 = 112) and then divide by 7 (112 ÷ 7 = 16). PENCIL AND PAPER DIVISION Unlike pencil and paper addition, subtraction and multiplication, the usual written procedures for division are based on working from left to right, starting with the hundreds, then the tens and then the units.

### Basic Mathematics: Teach Yourself by Alan Graham

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