Answer:
2. 80/100 = 80%; 95/100 = 95%; 30/100 = 30%; 75/100 = 75%
3. 40 square; 40/100; 40%; 60%
Step-by-step explanation:
There are a couple of things to remember:
- "out of" means the same as "divided by"
- % means the same as /100 (you can think of % as shorthand for /100)*
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For two of the problems in 2, you need to realize that $1 is 100 cents. When you're figuring percentages, you need to make sure that the units are the same for the numerator and denominator of the fraction. Here, the numerator is given as cents, and the "out of ..." number is given as dollars. You can either convert cents to dollars, or (better) convert dollars to cents. The latter is how you get a denominator of 100.
For the other two problems, you need to realize that 1 meter is 100 cm.
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2a) 80 out of 100 = 80/100 = 80% . . . . note we have replaced "out of" with /, and we have replaced /100 with %.
2b) 95 out of 100 = 95/100 = 95%
2c) 30 out of 100 = 30/100 = 30%
2d) 75 out of 100 = 75/100 = 75%
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3a) If you can't figure 4×10 = 40 shaded squares, you can count them.
3b) 40 out of 100 = 40/100
3c) 40/100 = 40%
3d) The totality of something is 100% of it. If 40% is shaded, the other (100-40)% = 60% is not shaded.
(Or you can count the unshaded squares: 6×10 = 60. 60 out of 100 = 60/100 = 60%.)
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* Just as % is shorthand for /100, the symbol ‰ is shorthand for /1000.
