# Grade 4 Math Number and Operations Base Ten

## 4th Grade Math Number and Operations in Base Ten

In 4th grade  Number and Operations are covered  in Base Ten and in Fractions.

We will focus on Base Ten Number and Operations here.

What do I mean by “Base Ten”?

Base ten, also called the decimal system, is a way to write numbers using the digits 0 through 9. In base ten, a digit’s value is based on where it is in the number. For instance, 356 is the same as 300 + 50 + 6.

People use the base ten system every day because it is easy to understand and use. It is also the most popular base system used all over the world. In base ten, each place is worth ten times what the place to its right is worth. For instance, the digit 6 in the number 356 has a place value of 6, but the digit 5 has a place value of 50 because it is one place to the left of the 6.

Here are the standards and some videos to explain the concepts.  I hope you find this helpful.

CCSS.MATH.CONTENT.4.NBB.A.1| Generalize place value understanding for multi-digit whole numbers.

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.

Standards: 4.NBT.A.1

CCSS.MATH.CONTENT.4.NBT.A.2| Generalize place value understanding for multi-digit whole numbers.

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.

Standards: 4.NBT.A.2

CCSS.MATH.CONTENT.4.NBT.A.3| Generalize place value understanding for multi-digit whole numbers.

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

Standards: 4.NBT.A.3

CCSS.MATH.CONTENT.4.NBT.B.4| Use place value understanding and properties of operations to perform multi-digit arithmetic.

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

Standards: 4.NBT.B.4

CCSS.MATH.CONTENT.4.NBT.B.5| Use place value understanding and properties of operations to perform multi-digit arithmetic.

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.

Standards: 4.NBT.B.5

CCSS.MATH.CONTENT.4.NBT.B.6| Use place value understanding and properties of operations to perform multi-digit arithmetic.

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.

Standards: 4.NBT.B.6