Aimathic – Round to nearest 100 – Free Math Worksheets

Round to nearest 100

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Difficulty: 1 – 5

5157333

Which two consecutive multiples of \(100\) surround \(812\)? Which is closer? Round \(812\) to the nearest \(100\).

Hints

- Find the multiples of \(100\) immediately below and above \(812\). - Compare the distance from \(812\) to each hundred. - Round to the closer hundred.

Solution

1. The consecutive multiples of \(100\) surrounding \(812\) are \(800\) and \(900\). 2. The distance from \(812\) to \(800\) is \(12\), and the distance to \(900\) is \(88\). 3. Since \(812\) is closer to \(800\), it rounds to \(800\) to the nearest \(100\).

Answer

The neighboring hundreds are \(800\) and \(900\). The number \(812\) rounds to \(800\).

5158483

For each number, identify the multiples of \(100\) immediately below and above it. Then round the number to the nearest \(100\). a) \(410\) b) \(785\) c) \(149\) d) \(602\)

Hints

- Identify the two consecutive multiples of \(100\) between which each number lies. - Find the distance from the number to each multiple of \(100\). - Round to the closer multiple.

Solution

1. The number \(410\) lies between \(400\) and \(500\). Its distances are \(10\) and \(90\), so it rounds to \(400\). 2. The number \(785\) lies between \(700\) and \(800\). Its distances are \(85\) and \(15\), so it rounds to \(800\). 3. The number \(149\) lies between \(100\) and \(200\). Its distances are \(49\) and \(51\), so it rounds to \(100\). 4. The number \(602\) lies between \(600\) and \(700\). Its distances are \(2\) and \(98\), so it rounds to \(600\).

Answer

a) \(400\) and \(500\); rounded: \(400\) b) \(700\) and \(800\); rounded: \(800\) c) \(100\) and \(200\); rounded: \(100\) d) \(600\) and \(700\); rounded: \(600\)

5158873

For each number, identify the multiples of \(100\) immediately below and above it. Then round to the nearest \(100\). a) \(157\) b) \(403\) c) \(789\) d) \(912\)

Hints

- Find the multiples of \(100\) immediately below and above each number. - Compare the distance to each hundred. - Round to the closer hundred.

Solution

1. The number \(157\) lies between \(100\) and \(200\) and is closer to \(200\), so it rounds to \(200\). 2. The number \(403\) lies between \(400\) and \(500\) and is closer to \(400\), so it rounds to \(400\). 3. The number \(789\) lies between \(700\) and \(800\) and is closer to \(800\), so it rounds to \(800\). 4. The number \(912\) lies between \(900\) and \(1000\) and is closer to \(900\), so it rounds to \(900\).

Answer

a) \(100\) and \(200\); rounded: \(200\) b) \(400\) and \(500\); rounded: \(400\) c) \(700\) and \(800\); rounded: \(800\) d) \(900\) and \(1000\); rounded: \(900\)

5164363

Estimate each sum by rounding every addend to the nearest hundred. Then add the rounded numbers. a) \(198+304+291\) b) \(412+189+111\) c) \(76+513+202\)

Hints

- Look at the tens digit when rounding to the nearest hundred. - A tens digit of \(5\) or greater means round up; otherwise, round down. - Add the rounded numbers mentally.

Solution

1. For a), round to \(200\), \(300\), and \(300\). Then \(200+300+300=800\). 2. For b), round to \(400\), \(200\), and \(100\). Then \(400+200+100=700\). 3. For c), round to \(100\), \(500\), and \(200\). Then \(100+500+200=800\).

Answer

a) \(\approx 800\) b) \(\approx 700\) c) \(\approx 800\)

5158503

Investigate rounding to the nearest \(100\). a) Find the distance from \(360\) to the multiple of \(100\) immediately below it and to the multiple of \(100\) immediately above it. Then round \(360\) to the nearest \(100\). b) Round \(520\), \(555\), and \(590\) to the nearest \(100\). Which of these numbers round to \(600\)? Of those, which is closest to \(600\)?

Hints

- Find the neighboring hundreds for each number. - Compare the distances to the two neighboring hundreds. - Round to the closer hundred.

Solution

1. The neighboring hundreds for \(360\) are \(300\) and \(400\). The distances are \(60\) and \(40\), so \(360\) rounds to \(400\). 2. The number \(520\) is \(20\) from \(500\) and \(80\) from \(600\), so it rounds to \(500\). 3. The number \(555\) is \(55\) from \(500\) and \(45\) from \(600\), so it rounds to \(600\). 4. The number \(590\) is \(90\) from \(500\) and \(10\) from \(600\), so it rounds to \(600\). 5. Both \(555\) and \(590\) round to \(600\). Of those two, \(590\) is closest to \(600\).

Answer

a) Distance to \(300\): \(60\); distance to \(400\): \(40\); rounded value: \(400\) b) \(520\to500\), \(555\to600\), \(590\to600\). The numbers \(555\) and \(590\) round to \(600\), and \(590\) is closest to \(600\).

5158883

Which of these numbers round to \(400\) when rounded to the nearest \(100\)? Numbers: \(299\), \(301\), \(350\), \(405\), \(399\), \(400\) For each number that does not round to \(400\), write its rounded value.

Hints

- Find the neighboring hundreds for each number. - Compare the distance to each hundred. - A halfway value rounds to the greater hundred. - A number that is already a multiple of \(100\) stays the same.

Solution

1. The number \(299\) is closer to \(300\), so it rounds to \(300\). 2. The number \(301\) is closer to \(300\), so it rounds to \(300\). 3. The number \(350\) is halfway between \(300\) and \(400\), so it rounds to \(400\). 4. The numbers \(405\) and \(399\) are closer to \(400\), so both round to \(400\). 5. The number \(400\) is already a multiple of \(100\), so it remains \(400\).

Answer

Round to \(400\): \(350\), \(399\), \(400\), and \(405\) \(299\to300\) \(301\to300\)

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