Consulting Math > Figures and Random > Flashcards

Figures and Random Flashcards

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1
Q

95/5 Divide by 5 by dividing by 10 and doubling or doubling and dividing by 15

A

19

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2
Q

Japan GDP per capita

A

60K

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3
Q

8*85 Half and double

A

680

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4
Q

325 * 30

A

9750

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5
Q

96/8

A

12

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6
Q

Population of most US large metro regions other than NYC/LA/Chicago?)

A

3-6M

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7
Q

331 * 20

A

6620

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8
Q

Questions to ask when given a market sizing task:

A
  1. What market specifically? (consumers or business or both? Does NY mean NYC or entire state?) 2. Ask if there is any data on any parameters I need (i.e. persons per household in target market) before estimating or any reason that parameters differe from national average, 3. Suggest research you would conduct to find parameters (may give data at this point) 4. Walk interviewer through thought process: A. Framework 2. Estimation/Research and get buy in on assumptions before doing any math, 3. Calculation, 4. So what?
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9
Q

NYC Metro population

A

20M

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10
Q

Chicago metro population

A

10M

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11
Q

US Persons per Household

A

2.5 or 3

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12
Q

120/12

A

10

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13
Q

4,200*2.5 Multiply by (1/4)*10^n

A

10,500

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14
Q

21/7

A

3

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15
Q

72/8

A

9

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16
Q

295/5 Divide by 5 by dividing by 10 and doubling or doubling and dividing by 20

A

59

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17
Q

Germany GDP per capita

A

45K

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18
Q

20-Jan

A

5%

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19
Q

96*2.5 Multiply by (1/4)*10^n

A

240

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20
Q

EU GDP per capita

A

35k

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21
Q

Convert 45% to fraction to multiply easier

A

9 * 5% = 9/20

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22
Q

25-Mar

A

12% (1/25 = 4% –> * 3)

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23
Q

99/9

A

11

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24
Q

75*6 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.

A

450

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25
328 \* 20
6560
26
Canada GDP per capita
50K
27
104/8
13
28
40/8
5
29
156/12
13
30
105/15
7
31
Germany population
80M
32
27/9
3
33
60/6
10
34
112 \* 15
1680
35
US GDP
20T
36
40/8
5
37
Mexico population
125M
38
877 \* 15
13155
39
5\*30 \*5 by dividing by 2 and multiplying by 21
150
40
Los Angeles city population
4M
41
250\*120k Multiply by (1/4)\*10^n
30,000,000
42
US GDP per Capita
60K
43
376 \* 15
5640
44
102 \* 15
1530
45
378 \* 20
7560
46
875 \* 15
13125
47
Germany population
80M
48
91/13
7
49
659 \* 30
19770
50
25-Apr
16% (1/25 = 4% --\> \* 4)
51
65\*4 \*4 by doubling twice
260
52
156/13
12
53
Questions to ask when given a market sizing task:
1. What market specifically? (consumers or business or both? Does NY mean NYC or entire state?) 2. Ask if there is any data on any parameters I need (i.e. persons per household in target market) before estimating or any reason that parameters differe from national average, 3. Suggest research you would conduct to find parameters (may give data at this point) 4. Walk interviewer through thought process: A. Framework 2. Estimation/Research and get buy in on assumptions before doing any math, 3. Calculation, 4. So what?
54
US Life Expectancy
80
55
45\*5 \*5 by dividing by 2 and multiplying by 18
225
56
6,400\*2.5 Multiply by (1/4)\*10^n
16,000
57
Questions to ask when given a market sizing task:
1. What market specifically? (consumers or business or both? Does NY mean NYC or entire state?) 2. Ask if there is any data on any parameters I need (i.e. persons per household in target market) before estimating or any reason that parameters differe from national average, 3. Suggest research you would conduct to find parameters (may give data at this point) 4. Walk interviewer through thought process: A. Framework 2. Estimation/Research and get buy in on assumptions before doing any math, 3. Calculation, 4. So what?
58
330 \* 5
1650
59
Convert 36% to fraction to multiply easier
9 \* 4% = 9/25
60
90/15
6
61
3,500\*12 Half and double
42,000
62
48/8
6
63
NYC Metro population
20M
64
US Households
100 or 120M
65
Canada population
35M
66
111 \* 20
2220
67
882 \* 15
13230
68
120/15
8
69
4\*3,500 \*4 by doubling twice
14,000
70
353 \* 20
7060
71
24/8
3
72
Los Angeles Metro population
13M
73
91/7
13
74
664 \* 20
13280
75
Brazil population
200M
76
5\*360 \*5 by dividing by 2 and multiplying by 22
1,800
77
84/6
14
78
116 \* 20
2320
79
US Median household income
50k
80
320/5 Divide by 5 by dividing by 10 and doubling or doubling and dividing by 14
64
81
886 \* 20
17720
82
883 \* 12
10596
83
75\*24 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
1,800
84
72/8
9
85
Chicago city population
2.5M
86
Convert 65% to fraction to multiply easier
13 \* 5% = 13/20
87
350 \* 5
1750
88
75\*18 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
1,350
89
335 \* 5
1675
90
4\*35 \*4 by doubling twice
140
91
24/8
3
92
75\*500 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
37,500
93
India GDP per capita
2K
94
16\*3.5 Half and double
56
95
657 \* 12
7884
96
877 \* 15
13155
97
18/6
3
98
662 \* 20
13240
99
Convert 36% to fraction to multiply easier
9 \* 4% = 9/25
100
84/12
7
101
886 \* 12
10632
102
56/7
8
103
88/8
11
104
India population
1.3B
105
6.3\*4 \*4 by doubling twice
25
106
Convert 12% to fraction to multiply easier
3 \* 4% = 3/25
107
225/15
15
108
40/8
5
109
US Population by 10-year age band, both sexes
40M (320M total, life expectancy 80 years, 320/8 = 40)
110
150/15
10
111
Population of most US large cities besides NYC/LA/Chicago/Dallas/Houston/Philly)
0.5M
112
28\*5 \*5 by dividing by 2 and multiplying by 15
140
113
117/9
13
114
80/8
10
115
240\*75 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
18,000
116
Brazil GDP per capita
10K
117
Population of most US large cities besides NYC/LA/Chicago/Dallas/Houston/Philly)
0.5M
118
US Households
100 or 120M
119
72/12
6
120
75\*600 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
45,000
121
US GDP
20T
122
India population
1.3B
123
36/6
6
124
Japan population
125M
125
20-Jul
35% (1/20 = 5% --\> \*7)
126
China population
1.4B
127
438 \* 15
6570
128
65/13
5
129
445/5 Divide by 5 by dividing by 10 and doubling or doubling and dividing by 13
89
130
373 \* 20
7460
131
40\*75 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
3,000
132
444 \* 30
13320
133
Brazil population
200M
134
5\*13 \*5 by dividing by 2 and multiplying by 10
65
135
64/8
8
136
124 \* 15
1860
137
112/8
14
138
196/14
14
139
30/6
5
140
443 \* 25
11075
141
112/8
14
142
49/7
7
143
104/8
13
144
5\*18 \*5 by dividing by 2 and multiplying by 11
90
145
135/15
9
146
Convert 36% to fraction to multiply easier
9 \* 4% = 9/25
147
64/5 Divide by 5 by dividing by 10 and doubling or doubling and dividing by 10
13
148
106 \* 20
2120
149
Los Angeles city population
4M
150
20-Jul
35% (1/20 = 5% --\> \*7)
151
25-Jan
4%
152
435 \* 20
8700
153
64/8
8
154
117/13
9
155
20-Mar
15% (1/20 = 5% --\> \*3)
156
75\*161 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
12,075
157
NYC city population
8M
158
439 \* 5
2195
159
16\*5 \*5 by dividing by 2 and multiplying by 12
80
160
114 \* 15
1710
161
210/15
14
162
60/15
4
163
108 \* 20
2160
164
5\*78 \*5 by dividing by 2 and multiplying by 17
390
165
32/8
4
166
329 \* 15
4935
167
120/8
15
168
Los Angeles Metro population
13M
169
20-Jan
5%
170
35/7
5
171
110 \* 5
550
172
880 \* 5
4400
173
374 \* 15
5610
174
879 \* 20
17580
175
US Median household income
50k
176
80/8
10
177
250\*1.2M Multiply by (1/4)\*10^n
300,000,000
178
4\*135 \*4 by doubling twice
540
179
India GDP per capita
2K
180
103 \* 20
2060
181
888 \* 20
17760
182
6,500\*140 Half and double
910,000
183
382\*5 \*5 by dividing by 2 and multiplying by 23
1,910
184
195/13
15
185
46\*75 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
3,450
186
175/5 Divide by 5 by dividing by 10 and doubling or doubling and dividing by 18
35
187
88/8
11
188
US Population
300M or 320M
189
78/13
6
190
US GDP per Capita
60K
191
123 \* 20
2460
192
65\*160 Half and double
10,400
193
32/8
4
194
874 \* 20
17480
195
Questions to ask when given a market sizing task:
1. What market specifically? (consumers or business or both? Does NY mean NYC or entire state?) 2. Ask if there is any data on any parameters I need (i.e. persons per household in target market) before estimating or any reason that parameters differe from national average, 3. Suggest research you would conduct to find parameters (may give data at this point) 4. Walk interviewer through thought process: A. Framework 2. Estimation/Research and get buy in on assumptions before doing any math, 3. Calculation, 4. So what?
196
377 \* 5
1885
197
US Median household income
50k
198
96/8
12
199
Convert 45% to fraction to multiply easier
9 \* 5% = 9/20
200
Mexico population
125M
201
40/8
5
202
63/9
7
203
Canada population
35M
204
352 \* 15
5280
205
EU population
500M
206
334 \* 15
5010
207
104/8
13
208
36/12
3
209
360k\*250 Multiply by (1/4)\*10^n
90,000,000
210
Germany GDP per capita
45K
211
25-Mar
12% (1/25 = 4% --\> \* 3)
212
17\*5 \*5 by dividing by 2 and multiplying by 13
85
213
US Median household income
50k
214
Population of most US large metro regions other than NYC/LA/Chicago?)
3-6M
215
20-Mar
15% (1/20 = 5% --\> \*3)
216
884 \* 20
17680
217
101 \* 20
2020
218
122 \* 15
1830
219
8M\*250 Multiply by (1/4)\*10^n
2,000,000,000
220
53\*5 \*5 by dividing by 2 and multiplying by 19
265
221
Chicago metro population
10M
222
130/13
10
223
2.5\*36 Multiply by (1/4)\*10^n
90
224
885 \* 15
13275
225
80/8
10
226
US Median household income
50k
227
118 \* 12
1416
228
88/8
11
229
112/8
14
230
195/15
13
231
US Median household income
50k
232
72/8
9
233
32/8
4
234
75\*140B Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
10,500,000,000,000
235
52/13
4
236
5\*573 \*5 by dividing by 2 and multiplying by 24
2,865
237
90/6
15
238
US Population
300M or 320M
239
5\*14 Half and double
70
240
887 \* 15
13305
241
24/8
3
242
120/8
15
243
275\*5 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
1,375
244
Canada GDP per capita
50K
245
Questions to ask when given a market sizing task:
1. What market specifically? (consumers or business or both? Does NY mean NYC or entire state?) 2. Ask if there is any data on any parameters I need (i.e. persons per household in target market) before estimating or any reason that parameters differe from national average, 3. Suggest research you would conduct to find parameters (may give data at this point) 4. Walk interviewer through thought process: A. Framework 2. Estimation/Research and get buy in on assumptions before doing any math, 3. Calculation, 4. So what?
246
Canada population
35M
247
56/8
7
248
56/8
7
249
160k\*75 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
12,000,000
250
72/6
12
251
327 \* 15
4905
252
368 \* 20
7360
253
32/8
4
254
379 \* 15
5685
255
107 \* 15
1605
256
80/8
10
257
845/5 Divide by 5 by dividing by 10 and doubling or doubling and dividing by 12
169
258
Convert 65% to fraction to multiply easier
13 \* 5% = 13/20
259
109 \* 15
1635
260
332 \* 15
4980
261
96/8
12
262
Convert 45% to fraction to multiply easier
9 \* 5% = 9/20
263
881 \* 20
17620
264
EU population
500M
265
72/9
8
266
25-Feb
8% (1/25 = 4% --\> \* 2)
267
5\*26,500 \*5 by dividing by 2 and multiplying by 26
132,500
268
81/9
9
269
20-Jul
35% (1/20 = 5% --\> \*7)
270
Japan GDP per capita
60K
271
105/7
15
272
US GDP per Capita
60K
273
Los Angeles city population
4M
274
US Persons per Household
2.5 or 3
275
6\*24 Half and double
144
276
135/9
15
277
42/6
7
278
64/8
8
279
Brazil GDP per capita
10K
280
300/15
20
281
75\*60 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
4,500
282
Chicago city population
2.5M
283
US Life Expectancy
80
284
Brazil GDP per capita
10K
285
445 \* 15
6675
286
120 \* 30
3600
287
32M\*75 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
2,400,000,000
288
104/13
8
289
Convert 12% to fraction to multiply easier
3 \* 4% = 3/25
290
349 \* 15
5235
291
Germany GDP per capita
45K
292
Japan GDP per capita
60K
293
6\*18 Half and double
108
294
48/8
6
295
85/5 Divide by 5 by dividing by 10 and doubling or doubling and dividing by 16
17
296
126/9
14
297
880 \* 15
13200
298
437 \* 20
8740
299
90/9
10
300
88/8
11
301
Brazil population
200M
302
24/6
4
303
NYC city population
8M
304
120/8
15
305
115 \* 5
575
306
54/6
9
307
Canada GDP per capita
50K
308
Questions to ask when given a market sizing task:
1. What market specifically? (consumers or business or both? Does NY mean NYC or entire state?) 2. Ask if there is any data on any parameters I need (i.e. persons per household in target market) before estimating or any reason that parameters differe from national average, 3. Suggest research you would conduct to find parameters (may give data at this point) 4. Walk interviewer through thought process: A. Framework 2. Estimation/Research and get buy in on assumptions before doing any math, 3. Calculation, 4. So what?
309
112/8
14
310
Mexico GDP per capita
10K
311
75\*282 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
21,150
312
28/7
4
313
165/15
11
314
225/5 Divide by 5 by dividing by 10 and doubling or doubling and dividing by 21
45
315
665 \* 15
9975
316
367 \* 5
1835
317
70/7
10
318
13\*4 \*4 by doubling twice
52
319
China population
1.4B
320
China GDP per capita
8k
321
3,500\*5 \*5 by dividing by 2 and multiplying by 25
17,500
322
75/15
5
323
879 \* 15
13185
324
375 \* 20
7500
325
105 \* 5
525
326
210/14
15
327
64/8
8
328
392 \* 20
7840
329
25-Jan
4%
330
56/8
7
331
132/12
11
332
370 \* 20
7400
333
240/15
16
334
42/14
3
335
70/14
5
336
351 \* 20
7020
337
14\*6 Half and double
84
338
88/5 Divide by 5 by dividing by 10 and doubling or doubling and dividing by 11
18
339
63\*5 \*5 by dividing by 2 and multiplying by 16
315
340
240\*5 \*5 by dividing by 2 and multiplying by 20
1,200
341
56/14
4
342
112/14
8
343
48/8
6
344
860\*75 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
64,500
345
96/12
8
346
393 \* 15
5895
347
60/12
5
348
371 \* 15
5565
349
US Population by 10-year age band, both sexes
40M (320M total, life expectancy 80 years, 320/8 = 40)
350
China GDP per capita
8k
351
120/8
15
352
25-Feb
8% (1/25 = 4% --\> \* 2)
353
326 \* 20
6520
354
372 \* 5
1860
355
394 \* 5
1970
356
2.5\*18 Multiply by (1/4)\*10^n
45
357
435\*4 \*4 by doubling twice
1,740
358
6.5\*14 Half and double
91
359
660 \* 15
9900
360
China population
1.4B
361
104 \* 15
1560
362
121 \* 20
2420
363
17,500\*4 \*4 by doubling twice
70,000
364
98/7
14
365
88/8
11
366
154/14
11
367
119 \* 25
2975
368
883 \* 5
4415
369
Population of most US large cities besides NYC/LA/Chicago/Dallas/Houston/Philly)
0.5M
370
US Median household income
50k
371
NYC city population
8M
372
104/8
13
373
25k\*56k Multiply by (1/4)\*10^n
1,400,000,000
374
US Life Expectancy
80
375
48/8
6
376
25-Apr
16% (1/25 = 4% --\> \* 4)
377
84/14
6
378
Germany population
80M
379
39/13
3
380
884 \* 25
22100
381
442 \* 12
5304
382
96/8
12
383
355 \* 5
1775
384
4\*3.2 \*4 by doubling twice
10
385
108/9
12
386
25-Apr
16% (1/25 = 4% --\> \* 4)
387
105/7
15
388
20-Mar
15% (1/20 = 5% --\> \*3)
389
Mexico population
125M
390
113 \* 20
2260
391
878 \* 20
17560
392
315\*4 \*4 by doubling twice
1,260
393
Mexico GDP per capita
10K
394
140/14
10
395
66/6
11
396
397 \* 12
4764
397
436 \* 15
6540
398
667 \* 20
13340
399
EU GDP per capita
35k
400
876 \* 20
17520
401
169/13
13
402
NYC Metro population
20M
403
75\*83 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
6,225
404
Los Angeles Metro population
13M
405
25-Jan
4%
406
270/15
18
407
45/15
3
408
25-Feb
8% (1/25 = 4% --\> \* 2)
409
India population
1.3B
410
US Persons per Household
2.5 or 3
411
2.5\*68 Multiply by (1/4)\*10^n
170
412
US GDP
20T
413
43\*4 \*4 by doubling twice
172
414
885 \* 30
26550
415
Convert 65% to fraction to multiply easier
13 \* 5% = 13/20
416
395 \* 20
7900
417
56/8
7
418
Chicago metro population
10M
419
72/8
9
420
887 \* 25
22175
421
40/8
5
422
126/14
9
423
Convert 12% to fraction to multiply easier
3 \* 4% = 3/25
424
US Median household income
50k
425
Japan population
125M
426
US Median household income
50k
427
396 \* 15
5940
428
96/8
12
429
EU GDP per capita
35k
430
391 \* 15
5865
431
878 \* 5
4390
432
360\*2.5 Multiply by (1/4)\*10^n
900
433
98/14
7
434
333 \* 20
6660
435
876 \* 20
17520
436
661 \* 5
3305
437
5\*24 \*5 by dividing by 2 and multiplying by 14
120
438
20-Jan
5%
439
144/12
12
440
280\*2.5 Multiply by (1/4)\*10^n
700
441
182/13
14
442
180/12
15
443
168/14
12
444
84/7
12
445
108/12
9
446
48/8
6
447
56/8
7
448
180/15
12
449
104/8
13
450
32/8
4
451
75\*2,400 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
180,000
452
25-Mar
12% (1/25 = 4% --\> \* 3)
453
666 \* 5
3330
454
48/6
8
455
36/9
4
456
India GDP per capita
2K
457
EU population
500M
458
112/8
14
459
48/12
4
460
369 \* 15
5535
461
US Population by 10-year age band, both sexes
40M (320M total, life expectancy 80 years, 320/8 = 40)
462
24/8
3
463
64/8
8
464
US Population
300M or 320M
465
441 \* 15
6615
466
881 \* 20
17620
467
Chicago city population
2.5M
468
658 \* 25
16450
469
117 \* 15
1755
470
China GDP per capita
8k
471
24/8
3
472
72/8
9
473
75\*13 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
975
474
Japan population
125M
475
354 \* 15
5310
476
70K\*25K Multiply by (1/4)\*10^n
1,750,000,000
477
77/7
11
478
75/5 Divide by 5 by dividing by 10 and doubling or doubling and dividing by 17
15
479
42/7
6
480
US Households
100 or 120M
481
78/6
13
482
882 \* 15
13230
483
168/12
14
484
190/5 Divide by 5 by dividing by 10 and doubling or doubling and dividing by 19
38
485
663 \* 15
9945
486
63/7
9
487
80/8
10
488
Population of most US large metro regions other than NYC/LA/Chicago?)
3-6M
489
125 \* 5
625
490
440 \* 20
8800
491
120\*35 Half and double
4,200
492
54/9
6
493
8\*75 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
600
494
143/13
11
495
45/9
5
496
182/14
13
497
Mexico GDP per capita
10K
498
348\*75 Multiply by 25 by multiplying by 3/4 then by 100, or by dividing by four then multiplying by 3 and then 100, or by subtracting a quarter and multiplying by 100.
26,100
499
4\*15 \*4 by doubling twice
60
500
6\*35 Half and double
210
Consulting Math
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