Question

Drag each number to the correct location on the table.

Classify each number according to its value.
3.2 x 105
1.9 x 101
2.2 x 10
2.4 x 10°
5.9 x 102
6.1 x 10
2.5 x 104
Greater than 2.4 x 104
Between 1.2 x 102
and 2.4 x 104
Less than 1.2 x 102

Answer 1

3.2 x 10^5 goes in greater than 2.4 x 10^4

1.9 x 10^-1 goes in less than 1.2 x 10^2

2.2 x 10 goes in less than 1.2 x 10^2

2.4 x 10^3 goes in between 1.2 x 10^2 and 2.4 x 10^4

5.9 x 10^2 goes in between 1.2 x 10^2 and 2.4 x 10^4

6.1 x 10 goes in less than 1.2 x 10^2

2.5 x 10^4 goes in greater than 2.4 x 10^4

Explanation:

First let's find out what 2.4 x 10^4 and 1.2 x 10^2 is.

2.4 x 10^4 = 24000

1.2 x 10^2 = 120

3.2 x 10^5 is obviously greater than 2.4 x 10^4 because the exponent of ten in 3.2 x 10^5 is one more value than the exponent in 2.4 x 10^4. The decimal is also greater.

1.9 x 10^-1 = .19, which is less than 1.2 x 10^2

2.2 x 10 = 22, less than 1.2 x 10^2

2.4 x 10^3 = 2400, in between 1.2 x 10^2 and 2.4 x 10^4

5.9 x 10^2 = 590, in between 1.2 x 10^2 and 2.4 x 10^4

6.1 x 10 = 61, less than 1.2 x 10^2

2.5 x 10^4 we can solve without doing the math, 2.5 is greater than 2.4 meaning the product will be greater, to check I did the math 2.5 x 10^4 = 25000, greater than 2.4 x 10^4

P.S Next time right ^ before the exponents, so we know they are exponents