Aimathic – Round to nearest 10 – Free Math Worksheets

Round to nearest 10

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Difficulty: 1 – 5

5157323

Round each number to the nearest \(10\). First identify the multiple of \(10\) immediately below it and the multiple of \(10\) immediately above it. a) \(452\) b) \(708\) c) \(195\)

Hints

- Find the multiples of \(10\) immediately below and above each number. - Compare the distance to each multiple. - If the number is exactly halfway, round to the greater multiple of \(10\).

Solution

1. The number \(452\) lies between \(450\) and \(460\). It is \(2\) away from \(450\) and \(8\) away from \(460\), so it rounds to \(450\). 2. The number \(708\) lies between \(700\) and \(710\). It is \(8\) away from \(700\) and \(2\) away from \(710\), so it rounds to \(710\). 3. The number \(195\) lies halfway between \(190\) and \(200\). Using the usual rounding rule for a halfway value, it rounds to \(200\).

Answer

a) \(450\) b) \(710\) c) \(200\)

5158453

For each number, find the multiple of \(10\) immediately below it, the multiple of \(10\) immediately above it, and the nearer multiple of \(10\). a) \(524\) b) \(607\) c) \(889\)

Hints

- Use the ones digit to find the surrounding multiples of \(10\). - Find the distance from each number to the multiple below it and the multiple above it. - The smaller distance identifies the nearer multiple of \(10\).

Solution

1. The number \(524\) lies between \(520\) and \(530\). Its distances are \(4\) and \(6\), so \(520\) is nearer. 2. The number \(607\) lies between \(600\) and \(610\). Its distances are \(7\) and \(3\), so \(610\) is nearer. 3. The number \(889\) lies between \(880\) and \(890\). Its distances are \(9\) and \(1\), so \(890\) is nearer.

Answer

a) Lower: \(520\); upper: \(530\); nearer: \(520\) b) Lower: \(600\); upper: \(610\); nearer: \(610\) c) Lower: \(880\); upper: \(890\); nearer: \(890\)

5158463

Study the number \(475\). a) What are the multiples of \(10\) immediately below and above \(475\)? b) What is the distance from \(475\) to the lower multiple of \(10\)? c) What is the distance from \(475\) to the upper multiple of \(10\)? d) What do you notice about the two distances? e) Round \(475\) to the nearest \(10\).

Hints

- Multiples of \(10\) end in zero. - Find each distance by subtraction. - Compare the two distances. - If the distances are equal, round to the greater multiple of \(10\).

Solution

1. The multiples of \(10\) immediately below and above \(475\) are \(470\) and \(480\). 2. The distance to the lower multiple is \(475 - 470 = 5\). 3. The distance to the upper multiple is \(480 - 475 = 5\). 4. The distances are equal, so \(475\) is halfway between \(470\) and \(480\). 5. A halfway value rounds to the greater multiple of \(10\), so \(475\) rounds to \(480\).

Answer

a) \(470\) and \(480\) b) \(5\) c) \(5\) d) The distances are equal, so \(475\) is halfway between \(470\) and \(480\). e) \(480\)

5158473

Consider all whole numbers strictly between \(230\) and \(240\). Which of these numbers round to \(230\) when rounded to the nearest \(10\)? List all of them.

Hints

- List the whole numbers strictly between \(230\) and \(240\). - Compare each number’s distance to \(230\) and \(240\). - A halfway value rounds to the greater multiple of \(10\).

Solution

1. The whole numbers strictly between \(230\) and \(240\) are \(231, 232, 233, 234, 235, 236, 237, 238,\) and \(239\). 2. The numbers \(231, 232, 233,\) and \(234\) are closer to \(230\) than to \(240\), so they round to \(230\). 3. The number \(235\) is exactly halfway and rounds to \(240\). The numbers \(236\) through \(239\) are closer to \(240\).

Answer

\(231, 232, 233,\) and \(234\)

5164373

Estimate each difference. Round every number to the nearest ten, and then subtract from left to right. a) \(782-211-349\) b) \(943-418-222\) c) \(567-153-104\)

Hints

- Look at the ones digit to round each number to the nearest ten. - Subtract from left to right after rounding.

Solution

1. For a), round to \(780\), \(210\), and \(350\). Then \(780-210-350=220\). 2. For b), round to \(940\), \(420\), and \(220\). Then \(940-420-220=300\). 3. For c), round to \(570\), \(150\), and \(100\). Then \(570-150-100=320\).

Answer

a) \(\approx 220\) b) \(\approx 300\) c) \(\approx 320\)

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