Free math worksheets

- Read the tick spacing from the labeled hundreds. - Count tick intervals from \(800\) to A. - Compare A with the midpoint between the two hundreds.

1. The ticks increase by \(10\), and A is two ticks past \(800\), so A represents \(820\). 2. The neighboring hundreds are \(800\) and \(900\). 3. \(820\) is closer to \(800\) than to \(900\), so it rounds to \(800\).

a) \(820\) b) \(800\) and \(900\) c) \(800\) is nearer, so A rounds to \(800\).

- Focus on the tens digit when rounding to the nearest \(100\). - Decide whether the number is closer to the lower hundred or the next hundred. - Check that your rounded number is a multiple of \(100\).

1. The tens digit is \(2\), which is less than \(5\). 2. The hundreds digit stays \(4\), and the tens and ones digits become \(0\). 3. Therefore, \(426\) rounds to \(400\).

The hundreds digit stays \(4\), so \(426\) rounds to \(400\).

- Each small tick represents \(10\). - Read each lettered marker's value before rounding. - Compare the marker with the halfway tick between the neighboring hundreds.

1. A is at \(410\), which is closer to \(400\), so it rounds to \(400\). 2. B is at \(780\), which is closer to \(800\), so it rounds to \(800\). 3. C is at \(140\), which is closer to \(100\), so it rounds to \(100\). 4. D is at \(620\), which is closer to \(600\), so it rounds to \(600\).

a) A: \(410\), rounded to \(400\) b) B: \(780\), rounded to \(800\) c) C: \(140\), rounded to \(100\) d) D: \(620\), rounded to \(600\)

- Each small tick represents \(10\). - Read the marker value before deciding how to round. - Compare the marker with the midpoint between the neighboring hundreds.

1. A is at \(160\), so it rounds to \(200\). 2. B is at \(430\), so it rounds to \(400\). 3. C is at \(790\), so it rounds to \(800\). 4. D is at \(920\), so it rounds to \(900\).

a) A: \(160\), rounded to \(200\) b) B: \(430\), rounded to \(400\) c) C: \(790\), rounded to \(800\) d) D: \(920\), rounded to \(900\)

- Use the tick spacing to determine each marker's value. - Compare each marker with the halfway point between neighboring hundreds. - For the final comparison, use only the markers that round to \(600\).

1. A is at \(360\). It is past the midpoint \(350\), so it rounds to \(400\). 2. B is at \(520\), so it rounds to \(500\). 3. C is at \(555\), so it rounds to \(600\). 4. D is at \(590\), so it rounds to \(600\). 5. C and D round to \(600\), and D is closer to \(600\).

a) A is \(360\) and rounds to \(400\). b) B is \(520\) and rounds to \(500\); C is \(555\) and rounds to \(600\); D is \(590\) and rounds to \(600\). C and D round to \(600\), and D is closest to \(600\).

- For each number, first identify its two neighboring hundreds. - Compare the number with the halfway point between those two hundreds. - Remember the convention for a number exactly halfway between two hundreds.

1. Determine the rounding rule for the nearest hundred: identify the digit in the tens place. If it is \(5\) or greater, round up to the next hundred; if it is less than \(5\), round down to the current hundred. 2. For \(299\), the neighboring hundreds are \(200\) and \(300\), so it rounds to \(300\). 3. For \(301\), the neighboring hundreds are \(300\) and \(400\), so it rounds to \(300\). 4. \(350\) is halfway between \(300\) and \(400\), so it rounds to \(400\). 5. \(405\), \(399\), and \(400\) are all closest to \(400\). 6. Therefore, \(350\), \(405\), \(399\), and \(400\) round to \(400\); \(299\) and \(301\) round to \(300\).

\(350\), \(405\), \(399\), and \(400\) round to \(400\). \(299\) rounds to \(300\). \(301\) rounds to \(300\).

- Round each addend to a nearby hundred before estimating. - Find the exact sum separately. - Compare the two totals and consider how the rounding changes affected the estimate.

1. a) The estimate is \(200+300+300=800\). The exact sum is \(198+304+291=793\), so the estimate is greater than the exact value. 2. b) The estimate is \(400+200+100=700\). The exact sum is \(412+189+111=712\), so the estimate is less than the exact value. 3. c) The estimate is \(100+500+200=800\). The exact sum is \(76+513+202=791\), so the estimate is greater than the exact value.

a) Estimate: \(800\); exact: \(793\); estimate is greater. b) Estimate: \(700\); exact: \(712\); estimate is less. c) Estimate: \(800\); exact: \(791\); estimate is greater.

- Identify the two consecutive multiples of \(100\) around the number. - Ask which place tells you where the number lies between those two hundreds. - Check whether the proposed rounded number is actually the nearer hundred.

1. To round to the nearest \(100\), use the tens digit, not the ones digit, to decide whether to round up or down. 2. The tens digit of \(572\) is \(7\), so the number is closer to \(600\) than to \(500\). 3. Therefore, \(572\) rounds to \(600\).

Ava looked at the wrong digit. For rounding to the nearest \(100\), the tens digit controls the decision. Since the tens digit is \(7\), \(572\) rounds to \(600\).

- Find the halfway points on the two sides of \(700\). - Decide which halfway value belongs to the numbers that round to \(700\). - Check what happens at the first value that rounds to \(800\).

1. \(650\) is halfway between \(600\) and \(700\), so it rounds to \(700\). 2. Values through \(749\) are closer to \(700\) than to \(800\). 3. \(750\) is halfway between \(700\) and \(800\) and rounds to \(800\). 4. Therefore, the least possible attendance is \(650\) and the greatest is \(749\).

a) \(650\) b) \(749\)