Place Value Worksheet - KS3 - Intermediate

Place Value worksheet for Key Stage 3 / Year 7-9 (Ages 11-14). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.

Maths•Key Stage 3 / Year 7-9 (Ages 11-14)•Place Valueintermediate

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Exploring Place Value in Maths

Key Stage 3 / Year 7-9 (Ages 11-14) - Intermediate Level

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Instructions: This worksheet will guide you through understanding and applying place value concepts. You will engage in a variety of activities, including problem-solving and data analysis, to deepen your comprehension of place value in different numerical contexts.

Understanding Place Value

Identify the place value of the underlined digit in each number. Write your answer in words.

1. 3,4_5_7

2. 12,8_9_3

3. 5_6_,789

4. 90,_4_32

5. 7_8_,654

6. 23,4_5_6

7. 1_0_,234

8. 6_7_,890

Converting Numbers to Words

Convert the following numbers into words. Ensure you use the correct place value terminology.

1. 4,567

2. 12,345

3. 98,765

4. 123,456

5. 56,789

6. 234,567

7. 789,012

8. 345,678

Place Value in Decimals

Identify the place value of the underlined digit in each decimal number. Write your answer in words.

1. 0.3_4_5

2. 1.2_3_4

3. 5.6_7_8

4. 9.0_1_2

5. 7.8_9_0

6. 3.4_5_6

7. 2.1_2_3

8. 6.7_8_9

Rounding Numbers

Round the following numbers to the nearest ten, hundred, and thousand. Write each rounded number separately.

1. 4,567

2. 12,345

3. 98,765

4. 123,456

5. 56,789

Comparing Numbers

Compare the following pairs of numbers using >, <, or =. Write your answer in the box provided.

1. 345,678 ___ 345,687

2. 123,456 ___ 123,465

3. 789,012 ___ 789,102

4. 56,789 ___ 56,798

5. 234,567 ___ 234,576

Place Value and Multiplication

Multiply the following numbers by 10, 100, and 1000. Write each result in the box provided.

1. 345

2. 678

3. 123

4. 456

5. 789

Decomposing Numbers

Decompose the following numbers into their place value components. Write each component separately.

1. 4,567 = + + +

2. 12,345 = + + + +

3. 98,765 = + + + +

4. 123,456 = + + + + +

5. 56,789 = + + + +

Place Value in Real Life

Consider the following real-life scenarios and write the numbers in expanded form.

1. A car costs £23,456

2. A house is valued at £345,678

3. A company made a profit of £789,012

4. A school has 1,234 students

5. A stadium can hold 56,789 people

Answer Key

Activity 1: Hundreds ; Tens ; Thousands ; Hundreds ; Thousands ; Tens ; Thousands ; Thousands

Activity 2: Four thousand five hundred sixty-seven ; Twelve thousand three hundred forty-five ; Ninety-eight thousand seven hundred sixty-five ; One hundred twenty-three thousand four hundred fifty-six ; Fifty-six thousand seven hundred eighty-nine ; Two hundred thirty-four thousand five hundred sixty-seven ; Seven hundred eighty-nine thousand twelve ; Three hundred forty-five thousand six hundred seventy-eight

Activity 3: Hundredths ; Tenths ; Tenths ; Tenths ; Tenths ; Hundredths ; Tenths ; Hundredths

Activity 4: 4,570 ; 4,600 ; 5,000 ; 12,350 ; 12,300 ; 12,000 ; 98,770 ; 98,800 ; 99,000 ; 123,460 ; 123,500 ; 123,000 ; 56,790 ; 56,800 ; 57,000

Activity 5: < ; < ; < ; < ; <

Activity 6: 3,450 ; 34,500 ; 345,000 ; 6,780 ; 67,800 ; 678,000 ; 1,230 ; 12,300 ; 123,000 ; 4,560 ; 45,600 ; 456,000 ; 7,890 ; 78,900 ; 789,000

Activity 7: 4,000 + 500 + 60 + 7 ; 10,000 + 2,000 + 300 + 40 + 5 ; 90,000 + 8,000 + 700 + 60 + 5 ; 100,000 + 20,000 + 3,000 + 400 + 50 + 6 ; 50,000 + 6,000 + 700 + 80 + 9

Activity 8: 20,000 + 3,000 + 400 + 50 + 6 ; 300,000 + 40,000 + 5,000 + 600 + 70 + 8 ; 700,000 + 80,000 + 9,000 + 10 + 2 ; 1,000 + 200 + 30 + 4 ; 50,000 + 6,000 + 700 + 80 + 9