Year 5 Decimals: Teaching Place Value and Practical Problem-Solving

Why decimals trip up Year 5 learners (and how to prevent it)

By Year 5, most children have a solid grasp of whole numbers and fractions. Decimals, though, introduce a shift in thinking: the decimal point doesn't represent division in the same way a fraction bar does, and place values extend into tenths and hundredths rather than larger groupings. Many children see 0.3 and 0.30 and struggle to understand they're the same value, or they confuse 0.2 with 0.02 because they haven't fully internalised what each digit's position actually means.

The good news is that decimals aren't harder than fractions—they're just different. And unlike fractions, which feel purely mathematical, decimals connect immediately to everyday life: money, height, weight, race times. When your child understands that 3.45 metres is three whole metres plus 45 hundredths of a metre, or that £2.75 is two pounds and 75 pence, the abstract symbol suddenly clicks into place. Teaching decimals well means starting with place value, using concrete examples, and building up to problem-solving—not jumping straight to arithmetic.

Building solid place value understanding with a split place-value chart

Before your child does any decimal arithmetic, they need to see and feel place value. A split place-value chart—a simple table with columns for ones, tenths, and hundredths (and sometimes thousandths)—is one of the most powerful tools you can use at home.

Draw a simple grid with four columns: ones | tenths | hundredths | thousandths. Then write a number like 2.34 in the columns: 2 in the ones, 3 in the tenths, 4 in the hundredths. Do this several times with different numbers (0.5, 1.07, 5.62, 0.09). Ask your child to say aloud what each digit means: 'Three tenths' and 'Four hundredths,' not 'Point three four.' This separation of language from the decimal notation is crucial—it forces them to think about quantity, not just read the number.

Once they're confident reading a chart, use real money. A pound is one whole, a dime (or 10p) is one tenth, and a penny (1p) is one hundredth. Lay out coins and ask them to write the decimal: eight pounds and thirty-two pence becomes 8.32. Reverse it: write 3.45 and ask them to show you using coins or draw it. This makes the connection tangible and memorable.

Comparing and ordering decimals without confusion

A common Year 5 stumbling block is comparing decimals, especially when they have different numbers of decimal places. Children often think 0.6 is smaller than 0.25 because 6 is bigger than 25—they haven't yet grasped that we're comparing place values, not digits in isolation.

Use the place-value chart again, but this time add zeros. Write 0.6 as 0.60, and 0.25 as 0.25. Now it's clear: 60 hundredths is bigger than 25 hundredths. Do the same with a ruler or measuring tape. Mark points at 0.6 metres and 0.25 metres on a line and physically see which is longer. Once they've done this a handful of times with real objects, the rule—'Line up the decimal points and add zeros to compare'—becomes a strategy they understand rather than a rule they memorise and forget.

For ordering, write three or four decimals on separate cards and ask your child to arrange them smallest to largest, turning to the place-value chart or measurement only if needed. Start with decimals that differ in the tenths place (0.3, 0.7, 0.1), then gradually include hundredths. The key is that they move from using tools to doing it in their head—but never rush that shift.

Rounding decimals to the nearest tenth or whole number

Rounding feels like a new rule, but it's just an extension of the rounding children learned with whole numbers. The only difference is where you place the digit you're keeping and what you look at to decide whether to round up or down.

Teach it in steps. First, remind them of whole-number rounding: 'If we're rounding 47 to the nearest ten, we look at the ones digit. If it's 5 or more, we round up; if it's less than 5, we round down. 47 rounds to 50.' Now do it with 3.4 rounded to the nearest whole number: 'The ones digit is 3, and we look at the tenths digit. It's 4, so we round down. 3.4 rounds to 3.' Then try 3.7: the tenths digit is 7, so we round up to 4.

Use a number line. Draw a line from 0 to 10, mark the whole numbers, and place decimals on it. Ask: 'Is 2.3 closer to 2 or to 3?' Your child can see immediately that it's closer to 2. Then they round. Do a few of these, then move to rounding to the nearest tenth: use a line from 0 to 1, mark tenths, and place numbers like 0.47 (rounds to 0.5) or 0.23 (rounds to 0.2). Once they've done it with the number line, introduce the rule: 'Look at the digit to the right of the place you're keeping. If it's 5 or more, round up.'

Addition and subtraction with decimals: using money as your scaffold

By the time children reach Year 5, they can add and subtract whole numbers fluently. Decimal arithmetic feels new, but it follows the same rules—you just have to line up the decimal points (which is really lining up the place values) instead of the ones digits.

Start with money, because it's tangible and your child understands it. 'You have £3.24. You buy a book for £1.50. How much do you have left?' Use coins or draw it out. Once they've done this a few times, write the same problem vertically and show them that the decimal points line up, just as the ones place did in whole-number subtraction. Do a few more with pencil and paper, always checking the answer with coins or a place-value chart to build confidence.

Then move to numbers without the money context. 5.7 + 2.4 becomes a simple visual problem: 5 ones and 7 tenths, plus 2 ones and 4 tenths. Regroup if needed. 7 tenths + 4 tenths = 11 tenths, which is 1 one and 1 tenth, so you carry it across. The mechanics are no different from whole-number addition; the only scaffolding your child needs is seeing that the decimal points line up and that place value is respected. If your child gets confused, go back to the place-value chart or coins. There's no penalty for checking; it builds certainty.

Real-world problem-solving to cement understanding

Once your child can work with decimals in isolation, introduce one-step and two-step problems drawn from their daily life. These transform decimals from abstract symbols into useful tools for making sense of the world.

Here are some genuine problems to try: 'You're 1.45 metres tall. Your brother is 1.38 metres tall. How much taller are you?' 'Your running time for 100 metres was 17.4 seconds last week and 16.8 seconds this week. How much faster were you?' 'Three items cost £2.49, £3.75, and £1.20. What's the total?' 'You have £10. You spend £4.35. How much change do you get?' Start with one-step problems (subtract to find the change), then move to two-step (find the total cost, then subtract from what you have).

The key is that your child chooses the operation based on what the problem asks, not because they see a decimal number. This reinforces that decimals are just another way to represent quantity, and the maths they already know applies. Keep a problem notebook and add a new one each week. Your child should draw, use coins or a place-value chart, write the calculation, and explain their answer. Within a few weeks, many children will stop needing the scaffolds and will tackle decimal problems with the same confidence they use for whole numbers.

Practical activities to try this week

Build a 'decimal scavenger hunt' around your home. Ask your child to find five items with decimal measurements on their packaging or labels: a juice carton showing millilitres, a nutrition label with decimal grams, a product price. Write down each number and use your place-value chart to read it aloud. Challenge: order them from smallest to largest.

Play a rounding game. Write ten decimals on cards (try 2.3, 5.8, 0.6, 4.2, 7.9, 1.4, 3.5, 6.1, 0.9, 2.7). Draw one at random and ask your child to round it to the nearest whole number. If you want to add competition, keep score: one point for a correct answer. After five rounds, reverse roles and you do the rounding while they check.

Cook or bake something together and have your child read and convert the measurements. If the recipe calls for 2.5 cups of flour, how many cups and quarters is that? If a recipe asks for 1.75 teaspoons of salt, do you have enough if you measure one teaspoon? This builds practical familiarity with decimals in a context that feels purposeful, not like homework.