Division

Student Sample

What does it mean to divide?

• Division can be used to find how many are in each group when an amount is shared equally.

This is called sharing. 15 / 5 = 3

What does it mean to divide?

• Another type of division situation is division as repeated subtraction.

• 15 – 5 = 10• 10 – 5 = 5• 5 – 5 = 0• How many times can I

subtract 5 from 15 until nothing is left? 3 times• 15 5 = 3

What does it mean to divide?

• Multiplication and division are called inverse operations because division undoes multiplication, and multiplication undoes division.

• For example, since 2 x 5 = 10, you know 10 x 2 = 5 and 10 x 5 = 2.• Also, since 54 6 = 9 and 54 9= 6, then 9 x 6 = 54.*Use division to find a missing factor.

What do I need to know first?

estimation

multiplication facts

factors

quotientproduct array

roundingplace value

What else do I need to know?

• Division has patterns (just like multiplication)• Estimating means using– Rounding– Compatible numbers– Multiplication

How do I divide?268 ÷ 7

Step

1 Estimate

decide where to place the first digit in the quotient.

Step

2 Divide the hundreds. Multiply and subtract

Step

3 Bring down the tens. Divide the tens. Multiply and subtract.

Step

4 Bring down the ones. Divide the ones. Multiply and subtract.

How do I check division?

• Multiplication and division are inverse operations. This means that you multiply the quotient by the divisor and add the remainder.

The Paez family lives in Louisville, Kentucky, and has decided to take a road trip for their

summer vacation.

• How many miles will the Paez family drive each day if they decide to take 5 days to drive 865 mi to Dallas?

• The Paez family decides they want to drive 996 mi to Boston in 6 days. How many miles will they drive each day?

How can math help me understand the world around me?

• Sometimes you need to divide things up so everyone gets equal shares.

• Division is related to multiplication.• There are steps to solve problems.• Division is repeated subtraction.