Class 4 Mathematics (DAV)
The DAV Class 4 Maths book, step by step: big numbers, adding and taking away, multiplying and dividing. Each lesson follows your textbook, with worked examples and practice from its worksheets.
Numbers Beyond 9,999
Chapter 1
Chapter 1 · Start here
Numbers Beyond 9,999
What comes after 9,999? Read, write, compare and build big numbers up to 9,99,999.
Sprint 1
Ten Thousand And Five Places
9,999 plus 1 makes 10,000. Meet the fifth place, and read numbers on an abacus.
Sprint 2
Reading Numbers And One Lakh
Read and write numbers up to 9,99,999, and meet one lakh.
Sprint 3
The Place Value Chart
Put numbers with up to six digits into the place value chart.
Sprint 4
Place Value Of A Digit
Find what each digit is worth, even zero.
Sprint 5
Periods And Commas
Split a big number into groups, and put the commas in the right places.
Sprint 6
Expanded Form And Standard Form
Break a number into its place values, and put it back together.
Sprint 7
Comparing And Ordering
Find which number is bigger, and put numbers in order.
Sprint 8
Building Numbers From Digits
Make the biggest and smallest numbers from some digits, and find the number just before or after.
Sprint 9
Review And Brain Teasers
Try the chapter's questions on your own.
Adding And Taking Away Big Numbers
Chapter 2
Chapter 2 · Start here
Adding And Taking Away Big Numbers
Add and take away numbers with five and six digits, carrying and borrowing carefully.
Sprint 10
Adding In Columns
The student adds 5-digit and 6-digit numbers in column form and knows what a carry over is and where it goes.
Sprint 11
Lining Up The Columns
The student arranges addends of different lengths correctly before adding, rather than stacking them as written.
Sprint 12
Properties Of Addition
The student uses the order and zero properties to fill blanks without computing, and knows why the sum does not change.
Sprint 13
Adding Orally
The student adds round numbers in the head by adding the short part and restoring the zeros.
Sprint 14
Addition Word Problems
The student turns a worded situation into a labelled column sum, including when one quantity has to be worked out first.
Sprint 15
Subtracting In Columns
The student subtracts 5-digit and 6-digit numbers with borrowing, including across a run of zeros.
Sprint 16
Finding And Checking Differences
The student finds the difference between two numbers given in any order, and checks a subtraction by adding back.
Sprint 17
Subtracting Zero And Subtracting Orally
The student applies the zero property, knows that subtraction order cannot be swapped, and subtracts round numbers mentally.
Sprint 18
Subtraction Word Problems
The student recognises all four subtraction word-problem shapes in the chapter and sets each one out as a labelled column subtraction.
Sprint 19
Review And Brain Teasers
The student works the chapter's own end-of-chapter questions unaided and knows where the remaining practice lives.
Multiplying By A Three-Digit Number
Chapter 3Chapter 3 · Start here
Multiplying By A Three-Digit Number
Multiply by a three-digit number, and keep each row in the right place.
Sprint 20
Breaking Up The Multiplier
The student multiplies by a three-digit number by splitting the multiplier into hundreds, tens and ones and adding the three partial products.
Sprint 21
Carries And Zeros
The student carries correctly inside a row and handles a multiplier that contains a zero without losing a place.
Sprint 22
Properties Of Multiplication
The student uses the order, one and zero properties to fill blanks without computing anything.
Sprint 23
Multiplying Orally
The student multiplies by round numbers in the head, and works backwards to find a missing round factor.
Sprint 24
Multiplication Word Problems
The student recognises a problem about equal groups, sets it out as a labelled multiplication, and answers with the right unit.
Sprint 25
Review And Practice
The student works the chapter's remaining printed questions unaided and knows where the rest of the practice lives.
Dividing Bigger Numbers
Chapter 4Chapter 4 · Start here
Dividing Bigger Numbers
Divide big numbers by two-digit numbers, step by step.
Sprint 26
The Parts Of A Division
The student names the four parts of a division and uses the relation between them to check an answer or find a missing number.
Sprint 27
Long Division Step By Step
The student divides a four-digit number by a single digit, writing each quotient digit in its own place.
Sprint 28
When A Zero Lands In The Quotient
The student writes a 0 in the quotient when a place gives nothing, instead of skipping it and shortening the answer.
Sprint 29
Dividing By A Two-Digit Number
The student finds each quotient digit by estimating against a two-digit divisor and adjusting, rather than reciting a table that does not exist.
Sprint 30
Five-Digit Dividends
The student extends the same method to a five-digit dividend, producing a four-digit quotient.
Sprint 31
Dividing Orally
The student divides by 10, 100 and 1000 in the head by splitting the numeral rather than working the long division.
Sprint 32
Division Word Problems
The student recognises which number is the dividend in a worded problem, sets it out with labels, and answers with the right unit.
Sprint 33
Review And Brain Teasers
The student works the chapter's own end-of-chapter questions unaided and knows where the remaining practice lives.