Place Value and Rounding: Practice Set 3
Place Value and Rounding: Practice Set 3 is a practice set covering how to read, write and compare large numbers using the value of each digit, and how to round whole numbers and decimals to a given place, then use rounding to estimate and check the size of a calculated answer.
Method
- Identify the place value of each digit in a number by its position, units, tens, hundreds, thousands and so on, before comparing or rounding.
- To round to a given place, look at the digit immediately to its right: 5 or more rounds up, below 5 rounds down and stays the same.
- When rounding a whole number, change every digit after the rounding place to zero, rather than simply deleting them.
- To compare large numbers, line up the digits by place value first, then compare from the largest place value down.
- Use rounding to estimate an answer before calculating exactly, so an unreasonable final answer can be spotted.
- For decimals, remember that digits after the rounding place are removed entirely, not set to zero, since trailing zeros after a decimal point do not change the value.
Worked example
Round 47,382 to the nearest thousand, and use your rounded value to estimate 47,382 + 31,905 to the nearest thousand.
- Identify the thousands digit in 47,382: it is 7.
- Look at the digit to the right of the thousands place, the hundreds digit, which is 3; since 3 is less than 5, round down.
- Round 47,382 to the nearest thousand: 47,000.
- Round 31,905 to the nearest thousand in the same way: the hundreds digit is 9, which is 5 or more, so round up to 32,000.
- Add the rounded values to estimate: 47,000 + 32,000 = 79,000.
- Final answer: 47,382 rounds to 47,000, and the estimated sum is 79,000.
Practice questions
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Q1Round 6,847 to the nearest hundred.Show answer
Answer: 6,800
Q2What is the value of the digit 5 in the number 258,431?Show answer
Answer: 50,000 (it is in the ten thousands place)
Q3Round 3.478 to 1 decimal place.Show answer
Answer: 3.5
Q4Order these numbers from smallest to largest: 4,209, 4,092, 4,290.Show answer
Answer: 4,092, 4,209, 4,290
Q5Round 995 to the nearest ten.Show answer
Answer: 1,000
Q6Estimate 6,148 - 2,873 by rounding each number to the nearest thousand first.Show answer
Answer: 3,000 (6,000 - 3,000)
Exam-style questions
Written in the style of a 11+ exam paper, with a full mark scheme.
Write the number 604,930 in words, then state the value represented by the digit 4 in this number.
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A stadium has 58,742 seats. A newspaper report rounds this to the nearest ten thousand. State the rounded figure the newspaper would report, and explain using place value why this figure, and not a different ten thousand, is correct.
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Free printable worksheet
Want more practice on paper? Download the place value and rounding: practice set 3 worksheet pack - 9 pages of exam-style questions with a full mark scheme. One email opens every download in this browser for 14 days - no account, no card. Print it for personal and classroom use.
This topic is chapter 37 of 11+ Maths Workbook 4, the whole course as one free printable PDF.
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