Multiplication worksheets
Practice products of two whole numbers from the range you choose. The answer key lists each product.
Expanded form worksheets
Twenty numbers a page to write in expanded form, as 506 = 500 + 6, or the other way, as 400 + 7 = 407. Larger numbers to a million, expanded form with multiplication, a sheet that moves between standard, expanded and word form, and decimals written as the Common Core writes them. Every sheet has the numbers that catch children out: a 0 inside, a place left out, parts given out of order. The answer key is on the last page. New numbers each time.
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Three-digit numbers · LetterThree-digit numbers · A4Expanded to standard form · LetterExpanded to standard form · A4Larger numbers to a million · LetterLarger numbers to a million · A4With multiplication · LetterWith multiplication · A4Word, standard and expanded form, harder · LetterWord, standard and expanded form, harder · A4Decimals · LetterDecimals · A4
Which sheet to choose
In the Common Core, reading and writing numbers to 1000 in expanded form is grade 2 work, numbers to a million with their number names grade 4, and decimals to thousandths grade 5. Start with three-digit numbers, then back to standard form, then larger numbers. The multiplication sheet writes each digit times its place, the way grade 5 writes decimals, and the word form sheet asks for all three forms of each number.
What expanded form means
Expanded form writes a number as the sum of what each digit is worth: 506 = 500 + 6, because the 5 is worth 500 and the 6 is worth 6. A 0 is left out, so there is no 0 for the tens. A 1 in the tens place is worth 10: 314 = 300 + 10 + 4. Larger numbers work the same way: 40,615 = 40,000 + 600 + 10 + 5.
Back to standard form
Put each part in its place and write a 0 in any place that has nothing: 400 + 7 is 4 hundreds, 0 tens and 7 ones, so 407, not 47. When the parts come out of order, as 7 + 400 + 30, sort them by place first: 437.
Word form and multiplication
Word form writes the number as it is said: 23,407 is twenty-three thousand, four hundred seven. Numbers from twenty-one to ninety-nine take a hyphen, and in the US there is no "and" in a whole number. With multiplication, each digit is multiplied by its place: 432 = 4 × 100 + 3 × 10 + 2 × 1.
Decimals
The places after the point are tenths, hundredths and thousandths, so 3.07 = 3 × 1 + 7 × (1/100): there are no tenths, and the 7 is in the hundredths. The Common Core writes 347.392 = 3 × 100 + 4 × 10 + 7 × 1 + 3 × (1/10) + 9 × (1/100) + 2 × (1/1000).
Related printables 12
Addition worksheets
Add pairs of whole numbers from your chosen range. Write each sum in the blank and check it against the answer key.
Subtraction worksheets
Subtract the smaller whole number from the larger one. Answers are zero or positive, with a separate key for checking.
Division worksheets
Divide a whole-number product by one of its factors. Every question has a whole-number answer; these sheets do not use remainders.
Fractions worksheets
Add two fractions with the same denominator. The answer key reduces each result by its greatest common divisor.
Telling time worksheets
Read an analogue clock and write its time. Questions use five-minute intervals, with the hour and minute in the answer key.
Counting money worksheets
Count the coins and write the total in cents: pennies, nickels, dimes and quarters drawn at their real size, six groups a page, totals under a dollar, with the answers on the key. Leave out the quarters for an easier sheet. New coins each time.
Number bonds worksheets
Number bonds to 10: the whole in the top circle, its two parts below, and one of the three left empty to fill in. Choose the largest whole, up to 100, and how many bonds; the answer key is on the last page.
Place value worksheets
Place value practice with numbers of 2 to 5 digits: half the questions ask what one digit is worth, as the 4 in 3,482 is worth 400, and half ask for the number in expanded form, as 3,000 + 400 + 80 + 2. The answer key is on the last page.
Measuring length worksheets
Six lines drawn at their true length, to measure with a ruler from the left end and write down to the nearest half inch, then two lines to draw at a given length, with a ruler to cut out at the foot of the page and the answers on page 2. Choose whole, half, quarter or eighth inches, or whole or half centimetres.
Measuring angles worksheets
Six angles a page, drawn at their true size from 10 to 170 degrees in steps of 5, to measure with a protractor and circle as acute, right or obtuse, with the answers on the key. One arm lies flat to start, pointing left or right; on the harder sheet both arms turn. New angles each time.
2D shapes worksheets
Eight flat shapes a page to name, and to count the sides and corners of: triangle, square, rectangle, rhombus, trapezoid, pentagon, hexagon, octagon, circle and oval, with the answers on the key. On the harder sheet each shape is turned and the triangles and rectangles change shape, so the name rests on the sides. New shapes each time.
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