Base and Place Value Kit for School Maths Lab

Quick Answer: Base and Place Value Kit for School Maths Lab is a set of base-ten materials with which students build numbers from ones, tens and hundreds. The place value kit shows why a digit’s value depends on its position, and how regrouping works in addition and subtraction.

Numbers Built From Units, Longs and Flats

Base-ten material represents a number by size. A unit is one, a long made of ten units is ten, a flat of ten longs is a hundred, and a block of ten flats, where the kit has one, is a thousand. When a student builds 326 with three flats, two longs and six units, the written digits correspond to things they can count, and a zero in a number such as 305 becomes an empty place rather than a mystery.

Regrouping is the heart of the kit. Ten units are exchanged for one long, ten longs for one flat, and the exchange goes the other way when subtracting. Working 47 + 38 on a place value mat, students collect fifteen units, trade ten of them for a long, and end with eight longs and five units, which makes 85. The written carry is then just a record of that trade.

The same pieces model decimals once the class agrees which piece stands for one. If the flat is taken as 1, a long becomes 0.1 and a unit 0.01, so 2.35 is two flats, three longs and five units. Students who see that a tenth is larger than a hundredth make fewer errors comparing numbers like 0.4 and 0.35.

Applications

• Building and reading numbers in ones, tens and hundreds
• Addition with regrouping (carrying) and subtraction with exchange (borrowing)
• Comparing and ordering numbers by their largest place
• Modelling decimals to tenths and hundredths
• Showing expanded form, for example 326 = 300 + 20 + 6

Specifications

Care & Handling

• Count units and longs back into separate compartments; mixed pieces slow down the next lesson.
• Keep the set dry and store flats flat so they do not warp.
• Wipe pieces with a damp cloth and let them dry before packing away.

Why Choose LabEquip

Primary teachers and maths lab coordinators use this kit for individual or pair work on place value. For whole-group games, LabEquip also lists a Base Ten Set for group activity, both in the Mathematics School Lab Products range; send your class numbers through the contact page.

Frequently Asked Questions

What do the pieces in base-ten material stand for?

A unit is one, a long is ten, a flat is a hundred and a large block is a thousand. Each piece is ten times the one before, which is the rule the written number system follows.

How does the kit show carrying in addition?

Students combine the units from both numbers. If there are ten or more, ten units are exchanged for one long and placed with the tens. That exchange is the carry written in a column sum.

How is subtraction with borrowing modelled?

When there are not enough units to take away, one long is exchanged for ten units. Students see that borrowing does not change the number, only how it is grouped.

Can the kit be used for decimals?

Yes. Let a flat stand for 1; a long then stands for 0.1 and a unit for 0.01. Students build decimal numbers and compare them in the same way as whole numbers.

What is a place value mat?

A sheet divided into columns headed hundreds, tens and ones, and thousands if needed, on which students place the pieces. It keeps each size in its column and makes the link to written digits clear. Teachers can draw one if the kit does not include it.

How is this kit different from the group activity base ten set?

This kit suits individual or pair work on place value. The group activity set is intended for several students sharing one larger collection of pieces for games and joint tasks. Confirm the quantities in each when you enquire.

Last Updated: September 2026