Mathematics
Grade 3
15 min
Divide by 10
Divide by 10
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1
Introduction & Learning Objectives
Learning Objectives
Identify the pattern that occurs when dividing a number ending in zero by 10.
Solve division equations where 10 is the divisor for any multiple of 10 up to 100.
Explain the relationship between dividing by 10 and multiplying by 10.
Use place value concepts to understand why dividing by 10 removes the final zero from a multiple of 10.
Accurately solve one-step word problems that require dividing by 10.
Check their division answers using multiplication.
If you have 40 shiny stickers to share equally with 10 friends, how many stickers does each friend get? ✨
In this lesson, we will learn a super-fast trick for dividing by 10! This is a very important skill because it makes solving some division problems much easier and helps us understand how numbers work...
2
Key Concepts & Vocabulary
TermDefinitionExample
DivisionThe action of splitting a number into equal parts or groups. It's like fair sharing.20 ÷ 2 = 10 means 20 is split into 2 equal groups of 10.
DividendThe total number that you are dividing. It's the big number you start with.In 50 ÷ 10 = 5, the dividend is 50.
DivisorThe number that you are dividing by. It tells you how many equal groups to make.In 50 ÷ 10 = 5, the divisor is 10.
QuotientThe answer to a division problem. It tells you how many are in each group.In 50 ÷ 10 = 5, the quotient is 5.
Place ValueThe value of a digit based on its position in a number. For example, in the number 80, the 8 is in the tens place and the 0 is in the ones place.In the number 80, the 8 means 8 tens, and the 0 means 0 ones.
Fact FamilyA group of related math facts u...
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Core Formulas
The 'Drop the Zero' Rule
Dividend \div 10 = Quotient
When dividing a number that ends in a zero (like 20, 30, 40) by 10, you can find the answer quickly by removing the zero from the end of the dividend.
The Multiplication Check
If a \div 10 = b, then b \times 10 = a
Division and multiplication are opposites. You can check your division answer (the quotient) by multiplying it by 10. If you get the number you started with (the dividend), your answer is correct.
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Challenging
Which statement best explains the connection between place value and the result of 90 ÷ 10?
A.The 9 stays in the tens place, but the 0 is removed.
B.Dividing by 10 causes the value of the 9 to shift from 9 tens to 9 ones.
C.The number 10 has two digits, so the answer must have two digits.
D.You are subtracting 10 from 90 until you get to 0.
Challenging
A number is divided by 10. The answer (quotient) is greater than 2 but less than 5. What could the original number (the dividend) have been?
A.20
B.50
C.40
D.25
Challenging
If 'a ÷ 10 = b', and 'a' is a whole number greater than 0, which statement about 'a' MUST be true?
A.The number 'a' must end in a zero.
B.The number 'a' must be an odd number.
C.The number 'a' must be smaller than 'b'.
D.The number 'a' must have three digits.
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