Exploring Division with Expanded Notation

The video tutorial explains how to divide using the expanded notation method. It begins by setting up the division problem using the long division symbol, with 764 as the dividend and 4 as the divisor. The instructor demonstrates dividing the number into hundreds, tens, and ones, explaining each step in detail. The process involves determining how many groups of each place value can be divided equally by the divisor. The tutorial concludes with a remainder of zero and a final quotient of 191, illustrating the expanded notation method effectively.

What is the first step in dividing using expanded notation?

• Divide the dividend by the divisor directly

• Multiply the divisor by the highest possible number

• Set up the problem with the dividend inside the bracket and the divisor outside

• Subtract the divisor from the dividend

How is the dividend 764 broken down in expanded notation?

• 764

• 700 + 64

• 760 + 4

• 700 + 60 + 4

What does the divisor represent in the division process?

• The number of equal groups to be formed

• The total number of place values

• The number to multiply the dividend by

• The number to be subtracted from the dividend

What is the purpose of using expanded notation in division?

• To increase the dividend

• To visually break down the dividend into place values for easier division

• To simplify the multiplication process

• To make subtraction easier

How many hundreds can be equally divided into four groups without exceeding 764?

• 2 hundreds

• 1 hundred

• 4 hundreds

• 3 hundreds

After dividing the hundreds place, what is the remainder?

• 364

• 264

• 164

• 464

How many groups of 10 can be equally divided into four groups without exceeding 364?

• 40 groups

• 9 groups

• 10 groups

• 36 groups

What remains after dividing the tens place?

• 0

• 1

• 10

• 4

What is the final step after dividing all place values?

• Multiply the remainder by the divisor

• Subtract the last quotient from the dividend

• Add all partial quotients

• Divide the remainder by the divisor

What is the quotient of 764 divided by 4 using expanded notation?

• 192

• 193

• 190

• 191