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Decimal Place Value

The same blocks with new names: a flat is now 1 whole, a rod is a tenth and a small cube is a hundredth. Ten of one still make one of the next.

🧱 Place Value →

Build 1.4

⭐ Solved 0
O ones
0
t tenths
0

0.0 ≠ 1.4

Use + and − under each column.

Expanded form

0.0

Ten make one

10 × = 0.1
10 × = 1
10 × = 10

When a column gets to 10, swap them for 1 block in the next column to the left.

Questions and answers

What is decimal place value?

Each place after the point is worth a tenth of the place before it. In 3.47 the 3 is worth 3, the 4 is worth 0.4 (four tenths) and the 7 is worth 0.07 (seven hundredths).

Why use the same blocks as for whole numbers?

Children already know that ten of one block make one of the next. Calling the flat 1 makes the rod a tenth and the small cube a hundredth, so decimals follow the same rule instead of feeling like new maths.

Why is 0.5 bigger than 0.45?

0.5 is 5 tenths: five rods. 0.45 is 4 rods and 5 small cubes, which is less. Building both with blocks shows it at once, and it helps with the common mistake of thinking a longer decimal is bigger.

What age is this for?

Tenths usually come at about 8 or 9 and hundredths at about 9 or 10, alongside money, measuring and percentages.