Grades 1 to 6
Place Value Chart
Type any number up to the millions, with decimals if you like. Each digit drops into its place, with its value, the expanded form, the number in words, and base ten blocks to build it.
Expanded form
In words
Use the + and − buttons to build a number with blocks, or type one above.
Ways to use it in class
- What is this digit worth? Type 5,555 and compare the four fives: each is worth ten times the one to its right.
- Build it with blocks. Press + under the tens until there are more than nine: the blocks regroup into a hundred, as they do when you carry.
- Expanded and word form. Students write both forms for a number, then type it in to check.
- Decimals. Tick Decimal places and type 3.07 and 3.7 to see why the zero matters.
Printing a place value chart
Press Print for the chart with the current number, or tick Blank chart first for an empty chart students can fill in.
Questions teachers ask
- What is a place value chart?
- A table with one column for each place in a number: ones, tens, hundreds, thousands and so on, and tenths, hundredths and thousandths after the decimal point. Writing a number into it shows what each digit is worth.
- What is expanded form?
- A number written as the sum of its digits' values. 4,325 in expanded form is 4,000 + 300 + 20 + 5, and 2.75 is 2 + 0.7 + 0.05.
- How do you read a decimal in words?
- Read the whole number, say "and" for the decimal point, then read the digits after it as one number named by the last place. 3.25 is three and twenty-five hundredths.
- What are base ten blocks?
- Blocks that show place value as size: a small cube is one, a rod is ten ones, a flat is ten rods or one hundred, and a large cube is ten flats or one thousand. The tool draws them for any whole number up to 9,999.
- Why does each place matter?
- Each place is worth ten times the place to its right. The 5 in 50 is worth ten times the 5 in 5, which is the idea behind carrying, borrowing, and multiplying by ten.
More classroom tools
Whole numbers, fractions, decimals and negatives. Mark points and draw jumps for adding and subtracting.
Hundreds ChartGrades K to 3Color squares, hide numbers to fill in, and light up skip counting by any number.
Ten FrameGrades K to 2One or two frames with two-color counters, for counting, making ten and quick looks.
Multiplication ChartGrades 2 to 5Up to 12 x 12 or 20 x 20. Tap a product to light up its row and column, hide answers to practice, and print.
Fraction StripsGrades 2 to 6A fraction wall from wholes to twelfths. Shade pieces to compare fractions and find equivalent ones.
Number BondsGrades K to 2A whole and its two parts. Build bonds, practice the missing part, and print a worksheet.
Base Ten BlocksGrades K to 5Build any number to 9,999 with ones, rods, flats and cubes. Ten trade up for one, and a block breaks back into ten, to show regrouping.
Graph PaperGrades 1 to 8Printable square grid, dot grid, coordinate axes and isometric dots, in the square size you choose.
Coordinate PlaneGrades 5 to 8One or four quadrants. Tap to plot points, join them into shapes, and print blank grids.