# Model Multiplication and Division of Decimals Model Multiplication and Division of Decimals MCC5.NBT.7 By Deanna Cross Hutto Middle School Base Ten Multiplication Models

Review Whole Number Base Ten Model of Multiplication 23 x 15 Determine Answer

(2 x 100) + (13 x 10) + (15 x 1) = 200 + 130 + 15 = 345 Student Practice

Base Ten Model of Multiplication 12 x 17 (1 x 100) + (9 x 10) + (14 x 1) = 100 + 90 + 14 = 204

Decimal Base Ten Models Decimal Block Values 1 (flat) 0.1 (long) 0.01 (unit)

1.4 x 1.2 Model 1.4 Using Base Ten Blocks Model 1.2 Using Base Ten Blocks 1.4 x 1.2

Make an array using these values. Width = 1.2 Length = 1.4 Complete the Rectangle with what is missing.

(1 x 1) + (6 x 0.1) + (8 x 0.01) 1 + 0.6 + 0.08 1.68 1.5 x 3.6 Model 1.5 Using Base Ten Blocks

Model 3.6 Using Base Ten Blocks 1.5 x 3.6 Make an array using these values

Width = 1.5 Length = 3.6 Complete the Rectangle with what is missing. (3 x 1) + (21 x 0.1) + (30 x 0.01)

3 + 2.1 + 0.30 5.40 0.5 x 1.2 Model 0.5 Using Base Ten Blocks

Model 1.2 Using Base Ten Blocks 0.5 x 1.2 Start with the larger number (1.2) Width = 1.2

Length = 0.5 0.5 x 1.2 Make an array by overlapping the smaller value (0.5)

Width = 1.2 Length = 0.5 0.5 x 1.2

Show what was created with the overlap. Width = 1.2 Length = 0.5

0.5 x 1.2 Remove the extra, determine your answer. Width = 1.2 Length = 0.5

(5 x 0.1) + (10 x 0.01) 0.5 + 0.10 0.6 Hundred Grid Multiplication Model

0.8 x 0.5 Shade in 0.8 in the vertical columns 0.8 x 0.5 Shade in 0.5 in the horizontal rows.

O.8 x 0.5 Overlap the two models Count the overlapping squares 40 squares

Write as decimal 0.40 1.2 x 0.9 Draw a model to represent 1.2

1.2 x 0.9 Overlap 0.9. 1.2 x 0.9 Count overlapped squares

108 Write as decimal 1.08 Base Ten Division Models 3.6 1.2 Draw base ten blocks for the divisor.

Continue to lay out tiles evenly until you reach your dividend. Width = 1.2 Length = ?

Length = 3, which is your quotient. 4.83 2.1 Width = 2.1

Length = ? Length = 2.3, which is your quotient. 4.6 1.5 Width = 1.5

Length = ? Length = 3, but you have 0.1 left over. You must divide 0.1 by 1.5 which = .067, so your answer is 3.067

Hundred Grid Division Models 0.40 0.08 5 groups of

0.08 0.4 0.08 = 5 1.8 0.6 3 groups of 0.6

1.8 0.6 = 3