Year 6 Decimals Worksheet - Beginner

Year 6 Decimals worksheet for Year 6 (Key Stage 2 / Year 3-6 (Ages 7-11)). Beginner level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.

Maths•Key Stage 2 / Year 3-6 (Ages 7-11)•Decimalsbeginner

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Decimal Detective: Place Value and Calculations

Year 6 | Ages 10–11 | Beginner

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Instructions: Work through the activities in order, showing your method in each answer box. Remember that digits move to a different place-value column when you multiply or divide by 10, 100 or 1,000. Check each calculation, then round only to the accuracy requested.

Read the Decimal Place

Use the place-value columns to identify the value of the digit named. For example, in 4.327, the 2 is in the hundredths column, so its value is 0.02. Write the value, not just the column name.

1. What is the value of the 6 in 8.641?

2. What is the value of the 3 in 5.308?

3. What is the value of the 7 in 2.075?

4. What is the value of the 9 in 0.419?

5. What is the value of the 4 in 13.204?

Multiply and Divide by Powers of 10

Calculate each answer by tracking how the digits shift between place-value columns. Keep any necessary zeroes so the place value is clear. Check that multiplying makes the number larger and dividing makes it smaller.

1. 3.46 × 10 =

2. 0.725 × 100 =

3. 48.3 ÷ 10 =

4. 6.4 ÷ 100 =

5. 2.075 × 1,000 =

6. 935 ÷ 1,000 =

Multiply Decimals by Whole Numbers

Multiply the decimal by the whole number. You may first multiply as if there were no decimal point, then place the decimal point carefully in your answer. Use the box to show your working as well as your answer.

1. 2.4 × 3 =

2. 0.75 × 4 =

3. 3.26 × 2 =

4. 1.08 × 5 =

5. 4.35 × 6 =

Written Decimal Division

Use a written division method and show your working in each box. If helpful, add zeroes after the decimal point to make the division easier. Give each answer to two decimal places where needed.

1. 6 ÷ 4 =

2. 7 ÷ 8 =

3. 9.6 ÷ 3 =

4. 5.25 ÷ 5 =

5. 12.6 ÷ 8 =

Round with Care

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, keep the rounding digit the same. Write the rounded number in the box.

1. Round 6.347 to 1 decimal place.

2. Round 8.264 to 2 decimal places.

3. Round 3.785 to 1 decimal place.

4. Round 0.946 to 2 decimal places.

5. Round 12.348 to the nearest whole number.

Answer Key

Activity 1: 0.6 ; 0.3 ; 0.07 ; 0.009 ; 0.004

Activity 2: 34.6 ; 72.5 ; 4.83 ; 0.064 ; 2,075 ; 0.935

Activity 3: 7.2 ; 3 ; 6.52 ; 5.4 ; 26.1

Activity 4: 1.5 ; 0.875 ; 3.2 ; 1.05 ; 1.575

Activity 5: 6.3 ; 8.26 ; 3.8 ; 0.95 ; 12