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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.

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Grade 4 " Number & Operations in Base Ten¹ | Common Core State Standards Initiative

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CCSS.Math.Content.4.NBT.B.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.

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Understand that a digit in one place is 1/10 the value of the digit to the left (using whole numbers)

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In this lesson you will learn that the digit in one place is 1/10 the value of the digit to the left by using base ten blocks.

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Number & Operations in Base Ten - 4th Grade

Generalize place value understanding for multi-digit whole numbers.

CCSS.Math.Content.4.NBT.A.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. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.

The teacher needs to understand the relationship between the base ten number system and place value. The teacher must be able to explain that the value of a digit changes depending on where it is located in a number.
Understanding how the value of a digit changes depending on where it is located in a number is essential. In a base ten system, multiplying or dividing a number by 10 changes the value of the digit by one whole place value position.

Student Knowledge Goals

I know place value positions of whole numbers to one million.
I know the value of each digit in a given number to one million.
I know multiplying by 10 increases a number's value and shifts its place one position to the left.
I know strategies for multiplying by 10.

I can explain the relationship of the place value positions in whole numbers to one million.
I can explain that a digit in one place represents 10 times what it represents in the place to its right.

base ten system
place value
place value positions (hundreds, ten thousands, millions, etc.)

Lessons
Engage NY Module 1 A-2 - Recognize a digit represents 10 times the value of what it represents in the place to its right.
Count on Lesson/Activity - Includes printable worksheet

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Teaching 4.NBT.A.1 - Digit in One Place Represents Ten Times what it Represents in the Place to its Right

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Generalize place value understanding for multi-digit whole numbers. CCSS.Math.Content.4.NBT.A.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. For example, recognize that 700 ÷ 70 = 10 by applying concepts of place value and division.