Decimal Detectives
Year 4 | Ages 8–9 | Intermediate
Instructions: Work through each activity and write your answers in the boxes. Use the place-value columns carefully, and remember that money is written in pounds and pence. Check each answer before moving on.
Fractions as Decimals
Write each fraction as a decimal. For tenths and hundredths, think about the number of equal parts in one whole.
1. 3/10 =
2. 27/100 =
3. 1/4 =
4. 1/2 =
5. 3/4 =
Divide by 10 and 100
Divide each number as shown. Use the place-value names ones, tenths and hundredths to help you track how the digits move.
1. 6 ÷ 10 =
2. 34 ÷ 10 =
3. 8 ÷ 100 =
4. 57 ÷ 100 =
5. In 4.26, what is the value of the digit 2?
6. In 3.48, what is the value of the digit 8?
Round to the Nearest Whole Number
Round each decimal with one decimal place to the nearest whole number. If the tenths digit is 5 or more, round up; if it is less than 5, round down.
1. 3.2 rounds to
2. 6.7 rounds to
3. 12.5 rounds to
4. 9.4 rounds to
5. 0.8 rounds to
Compare the Decimals
Write >, < or = in each box to make the comparison true. Compare the ones first, then the tenths and hundredths.
1. 0.6 0.60
2. 0.34 0.43
3. 1.08 1.8
4. 2.50 2.05
5. 0.72 0.7
Decimals in Money and Measure
Solve each problem. Include the correct unit in your answer where needed, and show a short calculation if it helps.
1. A notebook costs £1.35 and a pen costs £0.60. How much do they cost altogether?
2. Mia has £5.00 and spends £2.75. How much money does she have left?
3. A ribbon is 1.2 m long. Another ribbon is 0.5 m long. What is their total length?
4. A bottle holds 1.5 litres of water. Sam pours out 0.4 litres. How much water remains?
5. A parcel weighs 2.3 kg. A second parcel weighs 1.4 kg. What is their combined mass?
Activity 1: 0.3 ; 0.27 ; 0.25 ; 0.5 ; 0.75
Activity 2: 0.6 ; 3.4 ; 0.08 ; 0.57 ; 0.2 (2 tenths) ; 0.08 (8 hundredths)
Activity 3: 3 ; 7 ; 13 ; 9 ; 1
Activity 4: = ; < ; < ; > ; >
Activity 5: £1.95 ; £2.25 ; 1.7 m ; 1.1 litres ; 3.7 kg
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