(a) The number, 450, falls between what two perfect cubes? (b) What are the cube roots of these two perfect cubes? (c) Between what two decimal numbers, expressed in tenths, does the cube root of 450 fall? (d) To the nearest hundredth, the cube root of 450 is closest to what number?
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7^3 < 450 < 8^3
343 < 450 < 512
7 < cuberoot 450 < 8
To work this type of estimation, subtract the 343 from both the 450 and the 512
450 - 343 = 107 and 512 - 343 = 169
So you divide the partial distance (107) by the total distance (169) to get the percentage
107 / 169 = .63
Your best estimation of the 450 then would be: 7 < 7.63 < 8
343 < 450 < 512
7 < cuberoot 450 < 8
To work this type of estimation, subtract the 343 from both the 450 and the 512
450 - 343 = 107 and 512 - 343 = 169
So you divide the partial distance (107) by the total distance (169) to get the percentage
107 / 169 = .63
Your best estimation of the 450 then would be: 7 < 7.63 < 8
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450 falls between 7^3 and 8^3
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7^3
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7^3 < 450 < 8^3
too easy...one problem at a time.
too easy...one problem at a time.