Decimal Division With Models

Kyle had to divide a decimal by a whole number, and so he drew a diagram using the symbols shown in the key. The diagrams show his dividend before he divided it by the divisor and after. Which equation represents the model after dividing?

• 12. 42 divided by 4 = .012

• 12.48 divided by 3 = 1.42

• 1.248 divided by 3 = 4.12

• 12.48 divided by 4 = 3.12

0.21 divided by 7 =?

• 0.3

• 0.03

• 3.0

• 0.04

1.8 divided by 9 = _____

• 0.02

• 0.3

• 0.2

• 2

Which equation matches the division model?

The model represents the decimal value 0.21. Which of the following describes a way to use the model to solve the division problem 0.21 ÷ 0.07?

• Count how many groups of seven squares are in the shaded area.

• Count how many unshaded squares are in the first seven rows of the model.

• Calculate the fraction of squares that are shaded in the first seven rows of the model.

Which model?

• F

• G

• H

• J

Which equation is represented by the model?

• 12 ÷ 4 = 0.3

• 1.2 ÷ 0.4 = 0.3

• 1.2 ÷ 4 = 0.3

• 1.2 ÷ 0.3 = 4

The model is shaded to represent two and sixty-hundredths, and it represents an equation.Which equation is represented by this model?

• 2.50 × 5 = 12.5

• 2.60 ÷ 5 = 0.52

• 52 x 5 = 260

• 2.06 ÷ 5 = 0.412

Which equation is best represented by this model?

• 4.5 - 1.75 = 2.75