Decimal Detectives: Place Value, Scaling and Accuracy
Year 6 • Ages 10–11 • Intermediate
Instructions: Work through each activity carefully and show a clear method in the answer boxes. Check the place value of each digit, keep decimal points aligned where needed, and use the specified accuracy when rounding.
Decimal Place-Value Detective
Use the number in each question to identify the value of the named digit. Write the value as a decimal or fraction where appropriate.
1. In 4.582, what is the value of the digit 5?
2. In 0.739, what is the value of the digit 9?
3. In 16.204, what is the value of the digit 2?
4. In 8.061, what is the value of the digit 6?
5. In 23.475, what is the value of the digit 7?
Multiply and Divide by Powers of 10
Complete each calculation mentally by considering how the digits shift in value. Write the complete answer, including any necessary zeroes.
1. 6.38 × 10 =
2. 4.7 × 100 =
3. 0.526 × 1,000 =
4. 73.2 ÷ 10 =
5. 508.4 ÷ 100 =
6. 9,060 ÷ 1,000 =
Decimal Multiplication
Multiply each decimal by the whole number. Estimate first, then calculate accurately and include the correct decimal point.
1. 2.4 × 3 =
2. 0.36 × 5 =
3. 4.25 × 4 =
4. 1.08 × 6 =
5. 3.75 × 8 =
Written Division with Decimals
Use a written division method for each calculation. Give each answer to two decimal places where needed; check by multiplying your answer by the divisor.
1. 7.2 ÷ 4 =
2. 5.46 ÷ 3 =
3. 8.4 ÷ 5 =
4. 9.18 ÷ 6 =
5. 6.25 ÷ 4 =
Round to the Required Accuracy
Round each decimal to the place named. Look at the digit immediately to the right of that place to decide whether to round up or keep the digit unchanged.
1. Round 6.748 to the nearest whole number.
2. Round 3.286 to 1 decimal place.
3. Round 9.375 to 2 decimal places.
4. Round 0.946 to 1 decimal place.
5. Round 12.504 to 2 decimal places.
Choose the Best Estimate
Select the exact answer from the options. Use place value and estimation to rule out answers that are unreasonable.
1. 0.48 × 6 =
2. 7.35 ÷ 5 =
3. 3.6 × 100 =
4. 5.846 rounded to 2 decimal places is
5. 0.728 ÷ 10 =
Activity 1: 0.5 ; 0.009 ; 0.2 ; 0.06 ; 0.07
Activity 2: 63.8 ; 470 ; 526 ; 7.32 ; 5.084 ; 9.06
Activity 3: 7.2 ; 1.8 ; 17 ; 6.48 ; 30
Activity 4: 1.8 ; 1.82 ; 1.68 ; 1.53 ; 1.5625 (1.56 to 2 d.p.)
Activity 5: 7 ; 3.3 ; 9.38 ; 0.9 ; 12.50
Activity 6: 2.88 ; 1.47 ; 360 ; 5.85 ; 0.0728
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