Number & Operations in Base Ten

Generalize place value understanding for multi-digit whole numbers.

4.NBT.1 Recognize that in a multi-digit whole number, a digit in one place represents ten times what it represents in the place to its right.

Place value up to hundred thousands

Place Value up to Hundred Thousands

4.NBT.2 Read and write multi-digit whole numbers using base-ten numerals, number names, and expanded form. Compare two multi-digit numbers based on meanings of the digits in each place, using >, =, and < symbols to record the results of comparisons.

Read and write numbers

Read and Write Numbers

Compare numbers

Compare Numbers

Order numbers

Order Numbers

4.NBT.3 Use place value understanding to round multi-digit whole numbers to any place.

Round numbers

Round Numbers

Use place value understanding and properties of operations to perform multi-digit arithmetic.

4.NBT.4 Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Addition up to 100,000

Addition up to 100,000

Addition up to 1,000,000

Addition up to 1,000,000

Subtraction up to 100,000

Subtraction up to 100,000

Subtraction up to 1,000,000

Subtraction up to 1,000,000

4.NBT.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Distributive property of multiplication

Distributive Property of Multiplication

Multiply by 11

Multiply by 11

Multiply by 12

Multiply by 12

Multiples of 10

Multiples of 10

2 digit x 1 digit (numbers up to 50)

2 Digit x 1 Digit (Numbers up to 50)

2 digit x 1 digit (numbers up to 100)

2 Digit x 1 Digit (Numbers up to 100)

3 digit x 1 digit (numbers up to 400)

3 Digit x 1 Digit (Numbers up to 400)

3 digit x 1 digit (numbers up to 700)

3 Digit x 1 Digit (Numbers up to 700)

3 digit x 1 digit (numbers up to 1,000)

3 Digit x 1 Digit (Numbers up to 1,000)

4 digit x 1 digit (numbers up to 4,000)

4 Digit x 1 Digit (Numbers up to 4,000)

4 digit x 1 digit (numbers up to 7,000)

4 Digit x 1 Digit (Numbers up to 7,000)

4 digit x 1 digit (numbers up to 10,000)

4 Digit x 1 Digit (Numbers up to 10,000)

2 digit x 2 digit (numbers up to 40)

2 Digit x 2 Digit (Numbers up to 40)

2 digit x 2 digit (numbers up to 70)

2 Digit x 2 Digit (Numbers up to 70)

2 digit x 2 digit (numbers up to 100)

2 Digit x 2 Digit (Numbers up to 100)

4.NBT.6 Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

2 digit by 1 digit without remainders

2 Digit by 1 Digit without Remainders

2 digit by 1 digit with remainders

2 Digit by 1 Digit with Remainders

Divide multiples of 10,100

Divide Multiples of 10,100

3 digit by 1 digit without remainders

3 Digit by 1 Digit without Remainders

3 digit by 1 digit with remainders

3 Digit by 1 Digit with Remainders

4 digit by 1 digit without remainders

4 Digit by 1 Digit without Remainders

4 digit by 1 digit with remainders

4 Digit by 1 Digit with Remainders