Year 5 Decimals Worksheet - Intermediate

Year 5 Decimals worksheet for Year 5 (Key Stage 2 / Year 3-6 (Ages 7-11)). Intermediate 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)•Decimalsintermediate

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Decimal Detectives: Place Value, Rounding and Problems

Year 5 • Ages 9–10 • Intermediate

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Instructions: Work through each activity carefully, using the place value of each digit to help you. Show your method where a question asks you to calculate, and check that your answers make sense.

Read and Write Decimals

Read each decimal using tenths, hundredths and thousandths. Write each number in words, or write the decimal shown in words using digits. Remember that a zero can hold an important place.

1. Write 4.306 in words.

2. Write “seven and forty-two thousandths” as a decimal.

3. Write 0.580 in words.

4. Write “nine and six hundredths” as a decimal.

Thousandths and Place Value

Use the place value of each digit to complete the statements. Remember: 1 tenth is 100 thousandths, and 1 hundredth is 10 thousandths.

1. In 3.472, what is the value of the digit 7?

2. How many thousandths are equal to 0.6?

3. Complete: 0.35 = ___ thousandths.

4. Complete: 0.008 = ___ hundredths.

5. Write 2 tenths and 5 thousandths as a decimal.

Compare and Order

Compare the decimals by looking at matching place-value columns. Write <, > or = in each box. For the final question, write the decimals from smallest to largest.

1. 0.608 0.680

2. 4.095 4.059

3. 2.7 2.700

4. 1.326 1.362

5. Order from smallest to largest: 0.506, 0.56, 0.506

Round to the Nearest Whole and Tenth

Round each number to the place named. To round to the nearest tenth, check the hundredths digit. To round to the nearest whole number, check the tenths digit.

1. Round 6.47 to the nearest whole number.

2. Round 6.47 to the nearest tenth.

3. Round 12.85 to the nearest whole number.

4. Round 3.24 to the nearest tenth.

5. Round 0.95 to the nearest whole number.

Decimal Calculations

Calculate each answer. Line up the decimal points to help you add or subtract, and include zeroes as placeholders when needed.

1. 3.405 + 1.270 =

2. 6.000 − 2.468 =

3. 0.735 + 0.086 =

4. 5.2 − 1.875 =

5. 2.406 + 0.594 =

Decimals in Everyday Problems

Read each problem carefully and choose the calculation that fits. Show your working in the answer box and include the correct unit where one is needed.

1. A ribbon is 2.375 m long. Mina cuts off 0.850 m. How much ribbon remains?

2. A bottle holds 1.5 litres of water. Sam pours in another 0.275 litres. How much water is in the bottle now?

3. A runner completes 3.625 km on Monday and 2.8 km on Tuesday. How far does the runner travel altogether?

4. A parcel has a mass of 4.250 kg. A second parcel has a mass of 3.875 kg. What is their total mass?

Answer Key

Activity 1: 1. Four and three hundred and six thousandths ; 2. 7.042 ; 3. Zero and five hundred and eighty thousandths ; 4. 9.06

Activity 2: 1. 0.07 (7 hundredths) ; 2. 600 ; 3. 350 ; 4. 0.8 ; 5. 0.205

Activity 3: 1. < ; 2. > ; 3. = ; 4. < ; 5. 0.506, 0.506, 0.56

Activity 4: 1. 6 ; 2. 6.5 ; 3. 13 ; 4. 3.2 ; 5. 1

Activity 5: 1. 4.675 ; 2. 3.532 ; 3. 0.821 ; 4. 3.325 ; 5. 3

Activity 6: 1. 1.525 m ; 2. 1.775 litres ; 3. 6.425 km ; 4. 8.125 kg