Choose the best answer for each of the 10 questions about rounding. Read each question carefully, then check the explanation to learn from any mistake.
Question 1 What is \(5,748\) rounded to the nearest hundred?
A \(5,800\)B \(5,750\)C \(5,700\)D \(6,000\)The digit to the right of the hundreds place is 4, so keep 7 hundreds. Rounding up to 5,800 is a common mistake.
Question 2 36,000 36,200 36,400 36,600 36,800 37,000 36,500 36,500 on a number line. What is \(36,500\) rounded to the nearest thousand?
A \(37,000\)B \(36,000\)C \(40,000\)D \(36,500\)A number halfway between two thousands rounds up. 36,500 is halfway between 36,000 and 37,000, so it rounds to 37,000.
Question 3 450 451 452 453 454 455 456 457 458 459 460 457 Point at 457. Which is 457 rounded to the nearest ten?
A \(460\)B \(450\)C \(500\)D \(457\)457 is 3 away from 460 and 7 away from 450, so it rounds to 460.
Question 4 What is \(9,972\) rounded to the nearest hundred?
A \(9,900\)B \(10,000\)C \(9,970\)D \(9,000\)The hundreds digit 9 is followed by 7, so round up. 99 hundreds plus 1 hundred is 100 hundreds, which is 10,000.
Question 5 What is \(284,615\) rounded to the nearest ten thousand?
A \(280,000\)B \(290,000\)C \(285,000\)D \(300,000\)The ten thousands digit is 8 and the digit to its right is 4, so keep the 8. Rounding up gives 290,000, which is a common mistake.
Question 6 Which number rounds to 600 when rounded to the nearest hundred?
A \(651\)B \(649\)C \(549\)D \(750\)Numbers from 550 to 649 round to 600. 649 rounds down to 600. 651 rounds to 700, 549 rounds to 500, and 750 rounds to 800.
Question 7 Rounded 6,000 3,000 Rounded values. Maya rounded \(5,823\) and \(3,140\) to the nearest thousand to estimate \(5{,}823 + 3{,}140\). What is her estimate?
A \(8,000\)B \(8,963\)C \(10,000\)D \(9,000\)5,823 rounds to 6,000 and 3,140 rounds to 3,000, so the estimate is 9,000. The exact sum 8,963 is not an estimate.
Question 8 Estimate \(48{,}720 - 21{,}390\) by rounding each number to the nearest ten thousand.
A \(20,000\)B \(30,000\)C \(27,000\)D \(40,000\)48,720 rounds to 50,000 and 21,390 rounds to 20,000. Then 50,000 minus 20,000 is 30,000.
Question 9 A report says 23,000 people live in a town (rounded to the nearest thousand). Which could be the exact population?
A \(23,500\)B \(22,400\)C \(22,600\)D \(23,600\)Numbers from 22,500 to 23,499 round to 23,000. Only 22,600 is in that range.
Question 10 Diego says \(2,450\) rounded to the nearest hundred is \(2,400\). Which statement is correct?
A It rounds to \(2,400\) because 4 is even.B It rounds to \(2,000\) because 2 is first.C It rounds to \(3,000\) because 45 is large.D It rounds to \(2,500\) because the digit to the right is 5.The digit to the right of the hundreds place is 5, so the hundreds digit goes up: 2,450 rounds to 2,500.