Composing and Decomposing Numbers

This video tutorial teaches the concepts of decomposing and composing numbers. It begins with an introduction to base ten blocks and explains how numbers can be broken down into smaller parts, known as decomposing. The tutorial provides examples of decomposing single-digit numbers like five, seven, and three, as well as two-digit numbers like 24, 23, and 87. It also addresses common misunderstandings, such as incorrectly decomposing two-digit numbers. The video then transitions to composing numbers, showing how smaller parts can be combined to form whole numbers, with examples for both single-digit and two-digit numbers.

What is the purpose of using base ten blocks in learning about numbers?

• To confuse students

• To make math more colorful

• To make numbers look bigger

• To help visualize the composition of numbers

How can the number five be decomposed?

• Into five tens

• Into four ones and one one

• Into one ten and five ones

• Into two tens and one five

Which of the following is NOT a way to decompose the number five?

• Three ones and two ones

• Two ones and three ones

• Five ones

• Four tens and one one

What is a common misunderstanding when decomposing the number 24?

• Thinking it decomposes into two tens and four ones

• Thinking it decomposes into two ones and four ones

• Thinking it decomposes into four tens and two ones

• Thinking it decomposes into two tens and two ones

How can the number 23 be correctly decomposed?

• Into three tens and three ones

• Into two ones and three tens

• Into three tens and two ones

• Into two tens and three ones

What is the correct decomposition of the number 87?

• Eight ones and seven tens

• Seven tens and eight ones

• Seven ones and eight tens

• Eight tens and seven ones

What happens when you compose three ones and five ones?

• You get three ones

• You get five ones

• You get ten ones

• You get eight ones

How can you compose the number 35?

• By adding three ones and five tens

• By adding five tens and three ones

• By adding five ones and three ones

• By adding three tens and five ones

What is the result of composing nine ones and four tens?

• 59

• 39

• 94

• 49

Which of the following is a correct way to compose numbers?

• Only using tens

• Ignoring the ones place

• Only using ones

• Adding tens and ones separately