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Place Value Mastery

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Place Value Mastery

Read each question carefully. Show your working where asked, and use place value to explain your answers.

Partitioning and Place Value

1.Write 6,352 as a sum of thousands, hundreds, tens and ones. Then state the value of the digit 3.

2.Which statement correctly compares 7,286 and 7,268?

7,286 is greater because 8 tens is greater than 6 tens.
7,268 is greater because 8 ones is greater than 6 ones.
The numbers are equal.
7,268 is greater because it has more digits.

3.Make a number using 4 thousands, 0 hundreds, 6 tens and 9 ones. Then swap its thousands digit and tens digit. What is the new number?

Rounding Numbers

4.Round 5,738 to the nearest 10, nearest 100 and nearest 1,000. For rounding to the nearest 100, which digit do you check?

5.Select every number that rounds to 4,000 when rounded to the nearest thousand.

3,420
3,500
4,318
4,499
4,500

6.A theatre has 3,764 seats. Round this number of seats to the nearest 10, nearest 100 and nearest 1,000. Which rounded figure would be most useful for a quick advertisement? Give a sensible reason.

7.The number line runs from 4,000 to 5,000. Which value is exactly halfway between its endpoints?

Rounding in Problems

8.A community fun run expects 4,638 people. Organisers want to order enough entry wristbands using an estimate to the nearest hundred. Should they round up or down, and how many wristbands should they order? Explain why.

9.In the number 8,□41, which digits can go in the box so that the number rounds to 9,000 to the nearest thousand?

10.Write a four-digit number that rounds to 6,000 to the nearest thousand and to 6,300 to the nearest hundred. Explain how you know it meets both rules.