Question

If each square that is broken into 100 parts is considered a whole, which model represents 0.68 of 2? 2 models divided into 100 parts. Left: 68 are shaded gray. Right: 68 are shaded gray. 2 models divided into 100 parts. Left: 70 are shaded dark gray. 30 are shaded light gray. Right: 0 are shaded dark gray. 40 are shaded light gray. 2 models divided into 100 parts. Left: 60 are shaded dark gray. 40 are shaded light gray. Right: 20 are shaded dark gray. 20 are shaded light gray. 2 models divided into 100 parts. Left: 100 are shaded gray. Right: 100 are shaded gray.

Answer 1

Answer: Choice A

2 models divided into 100 parts. Left: 68 are shaded gray. Right: 68 are shaded gray.

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Explanation:

Consider the problem of 0.68 of 1, in other words 0.68*1 or simply 0.68

The number 0.68 is 68/100 or 68 over 100. We can have a 10 by 10 grid of tiny squares. Shade in 68 of them to represent 0.68 aka 68 hundredths.

So you'd have 6 full rows shaded  (to account for 0.60 so far) and then an additional 8 squares in the seventh row (adding on 0.08 to get 0.60+0.08 = 0.68)

All of this is for one square. Double this process and you'd get 0.68*2 to represent the value 1.36

In total, 2*68 = 136 squares are shaded out of 2*100 = 200 squares total.