Question

Three boys cut out hundredths decimal models. Derrick does not shade any of his models. Ari shades half of one model. Wesley shades two models and one tenth of another model. What decimal represents the amount each boy shades?

Answer 1

Answers:

Derrick's value = 0

Ari's value = 0.5

Wesley's value = 2.1

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Explanation:

Derrick doesn't shade anything, so his value is 0.

Ari shades half of one model, so 1/2 = 0.5 is his value

Wesley shades 2 full models, plus 1/10 = 0.1 of another one, leading to 2+0.1 = 2.1 as his value.

Answer 2

The fractional amount of the model shaded by each of the boys are :

• Derrick = 0.0
• Ari = 0.005
• Wesley = 2.001

The size of each model cut out = 1/100 = 0.01

DERRICK :

• Shaded none = 0

ARI :

• shades half of one model = (1/100) ÷ 2 = 0.005

WESLEY

• shades 2 and (1/10 of another)
• 2 + (0.1 × 0.01) = 0.001
• 2 + 0.001 = 2.001

Therefore, the amount shaded by each of the boys represented as a decimal are :

• DERRICK = 0.0
• ARI = 0.005
• WESLEY = 2.001

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