Section C Practice Problems

Problem 1

  1. Locate and label 539 on a number line.

    <p>Number line. Scale 500 to 600 by 100's.</p>

  2. What is the closest multiple of 100 to 539?
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Solution
  1. Number line.
  2. 500

Problem 2

Find the nearest multiple of 10 and the nearest multiple of 100 for each number.

  1. 537
  2. 661
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Solution
  1. 540 and 500
  2. 660 and 700

Problem 3

  1. What are all the whole numbers that round to 350 when rounded to the nearest ten?
  2. Which whole numbers round to 350 when rounded to the nearest ten and round to 400 when rounded to the nearest hundred?
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Solution
  1. 345, 346, 347, 348, 349, 350, 351, 352, 353, 354
  2. 350, 351, 352, 353, 354

Problem 4

  1. What is 346 rounded to the nearest ten? Explain or show your reasoning.
  2. What is 346 rounded to the nearest hundred? Explain or show your reasoning.
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Solution
  1. 350. Sample response: It's between 340 and 350 and closer to 350.
  2. 300. Sample response: It's between 300 and 400 and closer to 400.

Problem 5

Round each number to the nearest ten and to the nearest hundred. Explain or show your reasoning.

  1. 254
  2. 145
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Solution
  1. 250, 300. Sample response: 254 is only 4 away from 250 and is 6 from 260, and it is closer to 300 than to 200.
  2. 150, 100. Sample response: 145 is right in the middle so I round up, and it is closer to 100 than to 200. 

Problem 6

Jada rounds 145 to the nearest ten and gets 150. Then she rounds 150 to the nearest hundred and gets 200. Jada says 145 rounded to the nearest hundred is 200. Do you agree with Jada? Explain or show your reasoning.

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Solution

Sample responses:

  • I agree that 145 rounds to 150 and that 150 rounds to 200. I do not agree that 145 rounds to 200 since 145 is closer to 100 than to 200.

Problem 7

It is 234 miles from New York City to Boston. Tyler says, “That's about 200 miles, so it's about 400 miles to travel back and forth between New York City and Boston.” Do you agree with Tyler? Explain or show your reasoning.

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Solution

Sample responses:

  • Yes, 234 is a little more than but pretty close to 200, so 234 +234234 + 234 is not too far from 200+200200 + 200, which is 400.
  • No, although 234 is closer to 200 than to 300, if I add another 234, then I get 468, which is actually closer to 500 than to 400.