Question

violent crimes include murder, forcible rape, robbery, and aggravated assault. the data in the accompanying table represent the violent - crime rate (crimes per 100,000 population) for 25 regions. use the data to complete parts (a) through (d) below. click the icon to view the table of violent crime rates. (a) round the data to the nearest ten. 165≈□ 246≈□ 269≈□ 304≈□ 332≈□ 177≈□ 249≈□ 269≈□ 306≈□ 340≈□ 208≈□ 259≈□ 270≈□ 314≈□ 370≈□ 209≈□ 267≈□ 289≈□ 317≈□ 403≈□ 222≈□ 269≈□ 289≈□ 318≈□ 425≈□

Explanation:

To round a number to the nearest ten, we look at the ones digit. If the ones digit is 5 or greater, we round up (increase the tens digit by 1 and set the ones digit to 0). If the ones digit is less than 5, we round down (keep the tens digit the same and set the ones digit to 0).

Step 1: Round 165

The ones digit is 5, so we round up. \(165 \approx 170\)

Step 2: Round 246

The ones digit is 6 (which is ≥5), so we round up. \(246 \approx 250\)

Step 3: Round 269

The ones digit is 9 (≥5), so we round up. \(269 \approx 270\)

Step 4: Round 304

The ones digit is 4 (<5), so we round down. \(304 \approx 300\)

Step 5: Round 332

The ones digit is 2 (<5), so we round down. \(332 \approx 330\)

Step 6: Round 177

The ones digit is 7 (≥5), so we round up. \(177 \approx 180\)

Step 7: Round 249

The ones digit is 9 (≥5), so we round up. \(249 \approx 250\)

Step 8: Round 269 (again)

Same as before, \(269 \approx 270\)

Step 9: Round 306

The ones digit is 6 (≥5), so we round up. \(306 \approx 310\)

Step 10: Round 340

The ones digit is 0, so it stays. \(340 \approx 340\)

Step 11: Round 208

The ones digit is 8 (≥5), so we round up. \(208 \approx 210\)

Step 12: Round 259

The ones digit is 9 (≥5), so we round up. \(259 \approx 260\)

Step 13: Round 270

The ones digit is 0, so it stays. \(270 \approx 270\)

Step 14: Round 314

The ones digit is 4 (<5), so we round down. \(314 \approx 310\)

Step 15: Round 370

The ones digit is 0, so it stays. \(370 \approx 370\)

Step 16: Round 209

The ones digit is 9 (≥5), so we round up. \(209 \approx 210\)

Step 17: Round 267

The ones digit is 7 (≥5), so we round up. \(267 \approx 270\)

Step 18: Round 289

The ones digit is 9 (≥5), so we round up. \(289 \approx 290\)

Step 19: Round 317

The ones digit is 7 (≥5), so we round up. \(317 \approx 320\)

Step 20: Round 403

The ones digit is 3 (<5), so we round down. \(403 \approx 400\)

Step 21: Round 222

The ones digit is 2 (<5), so we round down. \(222 \approx 220\)

Step 22: Round 269 (again)

Same as before, \(269 \approx 270\)

Step 23: Round 289 (again)

Same as before, \(289 \approx 290\)

Step 24: Round 318

The ones digit is 8 (≥5), so we round up. \(318 \approx 320\)

Step 25: Round 425

The ones digit is 5, so we round up. \(425 \approx 430\)

Answer:

• \(165 \approx \boldsymbol{170}\)
• \(246 \approx \boldsymbol{250}\)
• \(269 \approx \boldsymbol{270}\)
• \(304 \approx \boldsymbol{300}\)
• \(332 \approx \boldsymbol{330}\)
• \(177 \approx \boldsymbol{180}\)
• \(249 \approx \boldsymbol{250}\)
• \(269 \approx \boldsymbol{270}\)
• \(306 \approx \boldsymbol{310}\)
• \(340 \approx \boldsymbol{340}\)
• \(208 \approx \boldsymbol{210}\)
• \(259 \approx \boldsymbol{260}\)
• \(270 \approx \boldsymbol{270}\)
• \(314 \approx \boldsymbol{310}\)
• \(370 \approx \boldsymbol{370}\)
• \(209 \approx \boldsymbol{210}\)
• \(267 \approx \boldsymbol{270}\)
• \(289 \approx \boldsymbol{290}\)
• \(317 \approx \boldsymbol{320}\)
• \(403 \approx \boldsymbol{400}\)
• \(222 \approx \boldsymbol{220}\)
• \(269 \approx \boldsymbol{270}\)
• \(289 \approx \boldsymbol{290}\)
• \(318 \approx \boldsymbol{320}\)
• \(425 \approx \boldsymbol{430}\)