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Question
the table shows a list of numbers and the results after applying the rule \multiply by 9.\ use the drop - down menus to describe a pattern going down the column on the right side of the table. the digits in the ones place. the digits in the tens place this happens because adding 9 is the same as and . number 1 2 3 4 5 6 7 8 9 10 multiply by 9 9 18 27 36 45 54 63 72 81 90 clear check
Step1: Analyze ones place digits
Look at the "multiply by 9" column: 9 (ones: 9), 18 (ones: 8), 27 (ones: 7), 36 (ones: 6), 45 (ones: 5), 54 (ones: 4), 63 (ones: 3), 72 (ones: 2), 81 (ones: 1), 90 (ones: 0). So ones place digits decrease by 1 (9→8→7→…→0).
Step2: Analyze tens place digits
For the same column: 9 (tens: 0), 18 (tens: 1), 27 (tens: 2), 36 (tens: 3), 45 (tens: 4), 54 (tens: 5), 63 (tens: 6), 72 (tens: 7), 81 (tens: 8), 90 (tens: 9). So tens place digits increase by 1 (0→1→2→…→9).
Step3: Relate to adding 9
Adding 9 is equivalent to adding 10 (which increases tens place by 1) and subtracting 1 (which decreases ones place by 1). So "adding 9 is the same as adding 10 and subtracting 1".
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- The digits in the ones place: decrease by 1
- The digits in the tens place: increase by 1
- This happens because adding 9 is the same as: adding 10 and subtracting 1