Search the California Content Standards

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

Standard:
Fluently add and subtract within 1000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.

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

Standard:
Multiply one-digit whole numbers by multiples of 10 in the range 10–90 (e.g., 9 × 80, 5 × 60) using strategies based on place value and properties of operations.

Cluster:
Generalize place value understanding for multi-digit whole numbers.

Standard:
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. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.

Footnote:
Grade 4 expectations in this domain are limited to whole numbers less than or equal to 1,000,000.

Cluster:
Generalize place value understanding for multi-digit whole numbers.

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

Cluster:
Generalize place value understanding for multi-digit whole numbers.

Standard:
Use place value understanding to round multi-digit whole numbers to any place.

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

Standard:
Fluently add and subtract multi-digit whole numbers using the standard algorithm.

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

Standard:
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.

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

Standard:
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.

Cluster:
Understand the place value system.

Standard:
Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left.

Cluster:
Understand the place value system.

Standard:
Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.