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### Course: 5th grade (Eureka Math/EngageNY)>Unit 2

Lesson 7: Topic G: Partial quotients and multi-digit decimal division

# Pattern when dividing by tenths and hundredths

This video explores the concept of dividing whole numbers by decimals. It emphasizes the idea that dividing by a decimal like 0.1 or 0.01 is the same as multiplying by 10 or 100, respectively. It uses the strategy of converting whole numbers to tenths or hundredths to make the process clearer.

## Want to join the conversation?

• how does 50 tenths x 5 tenths = 10
• Let me get this right. 50 tenths is equal to 5. 5 tenths is 0.5. If you multiply them you'll get 2.5, NOT 10.
• 50 tenths and 5 tenths r the same. So when u add them it becomes 10 tenths (i think) probably
• Sneha, I think this is getting pretty confusing to you. I'll ask you this: are 50 hundredths and 5 hundredths the same? Think about this and you'll understand it better. Okay, 50 hundredths CANNOT be represented in one place value. So you regroup all those 10 hundredths to get 0.5 (5 tenths). Now do the addition: 0.5 + 0.5. You are right, we'll get 10 tenths; it's just that you had it written down wrong.

I got notifications and am writing this reply.
• When you divide something you are figuring out how many times the number fits into your original number. When you divide a number by 1, you will get the number you started with because 1 always fits into a number the same amount of times as that number is big. For example, 7 divided by 1 is 7 because 1 can fit into 7, 7 times. For numbers greater than one they will fit into your original number less times because they are greater. For numbers less than 1, they will fit into your original number more times than the value of your number, therefore, giving you an answer bigger than the number you started with.

For example 4 divided by 0.1 or 1/10th (0.1 and 1/10 are the same number)
What the question is asking is how many times does 0.1 fit into 4? How many 0.1's added together make 4? The answer is 40, because 0.1, forty different times, will make 4.
• whats 2 x 2?
• It is common sense to know what that type of equation, you might be joking, but the answer would be four. If you have a hard time understanding these types of questions, maybe ask your parent/teacher/guardian to change the type of assignments. Multiplying by two would be doubling the amount.
• I still don't get it. At he says 'I'm going to have 20 groups of one.', Could someone please explain in further detail please? Thanks.
• whats 10 x 10
(1 vote)
• 10 x 10 =100
(1 vote)
• Well, we know that dividing by a tenth is the same thing as multiplying by 10.

I don't understand this.
(1 vote)
• Well think about it this way,When multiplying by a number below zero the original number will always shrink,this however,is put in reverse when doing division,dividing under 0 will make the number grow,I hope this helps.
• im honestly confused one how the number would be BIGGER if you DIVIDE so can someone plz xplain this to me
• When you divide something you are figuring out how many times the number fits into your original number. When you divide a number by 1, you will get the number you started with because 1 always fits into a number the same amount of times as that number is big. For example, 7 divided by 1 is 7 because 1 can fit into 7, 7 times. For numbers greater than one they will fit into your original number less times because they are greater. For numbers less than 1, they will fit into your original number more times than the value of your number, therefore, giving you an answer bigger than the number you started with.

For example 4 divided by 0.1 or 1/10th (0.1 and 1/10 are the same number)
What the question is asking is how many times does 0.1 fit into 4? How many 0.1's added together make 4? The answer is 40, because 0.1, forty different times, will make 4.