Place-Value Explorers: Numbers to 1,000,000
Year 5 • Ages 9–10 • Beginner
Instructions: Work through each activity in order. Use the place-value columns and examples to help you, and show clear working where useful. Check that each answer matches the question, especially when rounding or reading Roman numerals.
Read, Write and Compare Numbers
Use the place-value chart as a guide: in 472,615, the 7 represents 70,000. Write words carefully, using commas to separate thousands. For comparison questions, write <, > or = in the box.
Place-value guide: 472,615 = 400,000 + 70,000 + 2,000 + 600 + 10 + 5
1. Write 608,043 in words.
2. Write “nine hundred and thirty-two thousand, one hundred and six” in figures.
3. What is the value of the digit 7 in 374,821?
4. Complete: 526,419 = 500,000 + 20,000 + ___ + 400 + 10 + 9.
5. 405,090 450,009
Order and Compare
Compare digits from left to right, beginning with the largest place-value column. For the ordering question, write all four numbers from smallest to largest.
1. Write these numbers in ascending order: 321,450; 312,540; 321,405; 312,450.
2. 709,999 710,009
3. 86,305 86,350
4. Which is greater: 604,208 or 640,028?
5. Write a number that is greater than 499,999 and less than 500,010.
Count in Powers of 10
Find the size and direction of each step before continuing the sequence. A step of 10,000 changes the ten-thousands digit, but may also affect other digits when a boundary is crossed.
1. Count forwards by 1,000: 236,000; 237,000; ___; ___ .
2. Count backwards by 10,000: 583,200; 573,200; ___; ___ .
3. Count forwards by 100,000: 412,350; 512,350; ___; ___ .
4. Count backwards by 100: 70,250; 70,150; ___; ___ .
5. Count forwards by 10,000: 978,500; 988,500; ___; ___ .
Negative Numbers in Context
Temperatures below zero are written with a minus sign. A temperature that is further below zero is colder; use the number line idea to help with the questions.
1. At dawn, the temperature is −4°C. By midday it rises by 7°C. What is the midday temperature?
2. A freezer is at −18°C and a shed is at −3°C. Which is colder?
3. A diver is 6 metres below sea level, written as −6 m. The diver rises 9 metres. What is the diver’s new position relative to sea level?
4. The temperature changes from 2°C to −5°C. By how many degrees has it fallen?
Round Numbers to 1,000,000
Look at the digit immediately to the right of the place you are rounding to. If it is 5 or more, round up; if it is 4 or less, round down. Keep the other digits as zero where needed.
1. Round 63,847 to the nearest 10.
2. Round 285,649 to the nearest 100.
3. Round 746,281 to the nearest 1,000.
4. Round 349,999 to the nearest 10,000.
5. Round 851,240 to the nearest 100,000.
Roman Numerals and Years
Use these Roman numeral values: I = 1, V = 5, X = 10, L = 50, C = 100, D = 500 and M = 1,000. A smaller numeral before a larger one is subtracted, as in IV = 4 and IX = 9.
1. Write XL as a number.
2. Write 94 in Roman numerals.
3. Write DCCLXIV as a number.
4. A history book gives the year as MDCCLXXVI. Write the year in figures.
5. Write the year 2024 in Roman numerals.
Activity 1: Six hundred and eight thousand and forty-three ; 932,106 ; 70,000 ; 6,000 ; <
Activity 2: 312,450; 312,540; 321,405; 321,450 ; < ; < ; 640,028 ; Any whole number from 500,000 to 500,009
Activity 3: 238,000; 239,000 ; 563,200; 553,200 ; 612,350; 712,350 ; 70,050; 69,950 ; 998,500; 1,008,500
Activity 4: 3°C ; The freezer at −18°C ; 3 m above sea level ; 7°C
Activity 5: 63,850 ; 285,600 ; 746,000 ; 350,000 ; 900,000
Activity 6: 40 ; XCIV ; 764 ; 1776 ; MMXXIV
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