Unwrapping Numbers: From Expanded Form to Standard Form!

Mathematics Grades 2nd Grade 4:54 Video
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Lesson Description

Learn how to take apart numbers (expanded form) and put them back together (standard form) using place value charts. Just like solving a fun puzzle!

Video Resource

Numbers Place Value | 2nd Grade | Math | Kids Academy

Kids Academy

Duration: 4:54
Watch on YouTube

Key Concepts

  • Place Value (Hundreds, Tens, Ones)
  • Standard Form
  • Expanded Form

Learning Objectives

  • Students will be able to define standard and expanded form of a number.
  • Students will be able to convert numbers from expanded form to standard form using a place value chart.

Educator Instructions

  • Introduction (5 mins)
    Begin by asking students what they know about numbers. Introduce the terms 'standard form' (how we usually write numbers) and 'expanded form' (breaking numbers apart by the value of each digit). Show simple examples like 23 = 20 + 3.
  • Video Viewing (5 mins)
    Watch the 'Numbers Place Value' video by Kids Academy. Encourage students to pay attention to how the teacher uses the place value chart to convert numbers.
  • Guided Practice (10 mins)
    After the video, review the concept of place value. Draw a place value chart (Hundreds, Tens, Ones) on the board. Work through 2-3 examples from the video together as a class, writing the expanded form on the board and showing how each digit corresponds to the chart to arrive at the standard form.
  • Independent Practice (10 mins)
    Provide students with a worksheet containing numbers in expanded form (e.g., 400 + 50 + 2). Have them use their own place value charts to convert these numbers to standard form. Circulate to assist students as needed.
  • Wrap-up (5 mins)
    Review the key concepts of standard and expanded form. Ask students to explain in their own words how to convert from expanded form to standard form.

Interactive Exercises

  • Place Value Game
    Call out a number in expanded form. Students race to write the number in standard form on their whiteboards.
  • Number Building
    Give each student base ten blocks (hundreds flats, tens rods, ones units). Call out a number in expanded form (e.g., 200 + 30 + 5). Students use the base ten blocks to build the number and then write the standard form on their paper.

Discussion Questions

  • What is the difference between standard form and expanded form?
  • How does a place value chart help us understand numbers?

Skills Developed

  • Place Value Understanding
  • Number Sense
  • Problem-Solving

Multiple Choice Questions

Question 1:

What is the number 300 + 20 + 5 in standard form?

Correct Answer: 325

Question 2:

Which number is in expanded form?

Correct Answer: 100 + 20 + 3

Question 3:

What does the 6 in 672 stand for?

Correct Answer: 6 hundreds

Question 4:

What number is 100 + 1?

Correct Answer: 101

Question 5:

Which of these numbers has 7 in the tens place?

Correct Answer: 173

Question 6:

What is 500 + 9?

Correct Answer: 509

Question 7:

In the number 234, which digit is in the ones place?

Correct Answer: 4

Question 8:

Which of these is the same as 823?

Correct Answer: 800 + 20 + 3

Question 9:

What is another way to write 410?

Correct Answer: 400 + 10 + 0

Question 10:

Which number has 3 hundreds, 0 tens, and 2 ones?

Correct Answer: 302

Fill in the Blank Questions

Question 1:

The number 678 is in _______ form.

Correct Answer: standard

Question 2:

400 + 20 + 1 is in _______ form.

Correct Answer: expanded

Question 3:

In the number 92, the 9 is in the _______ place.

Correct Answer: tens

Question 4:

In the number 345, the 5 is in the _______ place.

Correct Answer: ones

Question 5:

The number 100 + 50 + 6 written in standard form is _______.

Correct Answer: 156

Question 6:

The number 207 has _______ hundreds, _______ tens, and _______ ones.

Correct Answer: 2, 0, 7

Question 7:

700 + 8 is the same as _______.

Correct Answer: 708

Question 8:

The number 560 is made up of 5 _______ and 6 _______.

Correct Answer: hundreds, tens

Question 9:

900 + 10 + 3 = _______

Correct Answer: 913

Question 10:

When we write a number by adding the value of each digit, it's called _______ form.

Correct Answer: expanded

Educational Standards

2.N.1.3:Use place value to describe whole numbers between 10 and 1,000 in terms of hundreds, tens, and ones, including written, standard, and expanded forms. Know that 10 is equivalent to 10 ones and 100 is equivalent to 10 tens. 2.N.1.1:Read, write, discuss, and represent whole numbers up to 1,000. Representations should include, but are not limited to, numerals, words, pictures, tally marks, number lines, and manipulatives.

Teaching Materials

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