Place-Value Power: Numbers to 10,000,000
Year 6 | Beginner level | Ages 10–11
Instructions: Work through the activities in order, using the examples and place-value knowledge to help you. Write each answer in its box; show a short calculation where useful. Check that your digits and units match the question.
Read, Write and Compare
Read each number carefully, paying attention to the place of every digit. Write number names in figures, and compare numbers using the correct symbol. The example shows how to begin: 3,405,020 is three million, four hundred and five thousand and twenty.
1. Write in figures: six million, two hundred and thirty thousand and fourteen.
2. Write in words: 4,008,305.
3. Insert <, > or =: 5,090,000 5,009,000
4. Insert <, > or =: 9,999,999 10,000,000
5. Put these numbers in ascending order: 701,250; 710,205; 701,205.
What Is Each Digit Worth?
A digit’s value depends on its position. For example, in 6,482,105, the 4 is worth 400,000. Write the value of the specified digit, including all its place-value zeroes.
1. What is the value of the digit 7 in 7,316,204?
2. What is the value of the digit 5 in 2,508,913?
3. What is the value of the digit 8 in 4,083,761?
4. In 6,245,309, which digit is in the ten-thousands place?
5. Write 3,000,000 + 400,000 + 20,000 + 600 + 9 as one number.
Round with Confidence
First find the digit in the place you are rounding to. Look at the digit immediately to its right: round up if it is 5 or more, and keep the rounding digit the same if it is 4 or less. Replace the digits to the right with zeroes.
1. Round 6,384,271 to the nearest 10.
2. Round 6,384,271 to the nearest 1,000.
3. Round 2,749,600 to the nearest 10,000.
4. Round 8,251,490 to the nearest 100,000.
5. Round 5,650,000 to the nearest 1,000,000.
Temperatures Below and Above Zero
A negative temperature is below 0°C, and a positive temperature is above 0°C. To find an interval across zero, count from the negative temperature up to zero, then from zero to the positive temperature.
1. At dawn it is −4°C. By midday it is 3°C. How many degrees has the temperature risen?
2. A freezer is at −18°C and a room is at 6°C. What is the temperature difference?
3. The temperature changes from 2°C to −5°C. How many degrees has it fallen?
4. A lift is on floor −3 and travels to floor 5. How many floors does it travel?
5. A diver is at −12 metres and rises to −4 metres. How many metres does the diver rise?
Place-Value Check-Up
Use place value to solve each short problem. For the ordering question, start with the smallest number and compare digits from left to right. For the rounding question, use the rounding rule from Activity 3.
1. Write 9,070,006 in words.
2. What is the value of the digit 6 in 3,640,125?
3. Insert <, > or =: 4,700,090 4,709,000
4. Round 3,846,219 to the nearest 100,000.
5. At 6 a.m. the temperature is −7°C. By noon it is 4°C. How many degrees has it risen?
Activity 1: 1. 6,230,014 ; 2. Four million, eight thousand, three hundred and five ; 3. > ; 4. < ; 5. 701,205; 701,250; 710,205
Activity 2: 1. 7,000,000 ; 2. 500,000 ; 3. 80,000 ; 4. 4 ; 5. 3,420,609
Activity 3: 1. 6,384,270 ; 2. 6,384,000 ; 3. 2,750,000 ; 4. 8,300,000 ; 5. 6,000,000
Activity 4: 1. 7°C ; 2. 24°C ; 3. 7°C ; 4. 8 floors ; 5. 8 metres
Activity 5: 1. Nine million, seventy thousand and six ; 2. 40,000 ; 3. < ; 4. 3,800,000 ; 5. 11°C
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