Convert 0.00001 to a power of 10. (2 points)

104

10−4

105

10−5

10−5

Convert 5.4 ⋅ 103 to standard form. (3 points)

0.0054

0.00054

5,400

54,000

54,000

Convert 3,200,000 to scientific notation. (3 points)

3.2 ⋅ 106

3.2 ⋅ 105

3.2 ⋅ 10−6

3.2 ⋅ 10−5

3.2 ⋅ 106

The table shows the syrup production of four states:

State Syrup Production (liters)
Maine 1.10 ⋅ 106
New Hampshire 3.14 ⋅ 105
New York 9.65 ⋅ 105
Vermont 1.89 ⋅ 106
Order the states from least to greatest syrup production. (4 points)

New Hampshire, Maine, New York, Vermont

New Hampshire, New York, Maine, Vermont

Vermont, Maine, New York, New Hampshire

Maine, Vermont, New Hampshire, New York

New Hampshire, New York, Maine, Vermont

Which number is the largest? (4 points)

1.2 × 104, 4.5 × 10−3, 3.8 × 103, 7.5 × 103

1.2 × 104

4.5 × 10−3

3.8 × 103

7.5 × 103

1.2 × 10^4

Compare 8 ⋅ 107 to 2 ⋅ 104. (4 points)

8 ⋅ 107 is 4,000 times larger than 2 ⋅ 104.

8 ⋅ 107 is 400 times larger than 2 ⋅ 104.

8 ⋅ 107 is 40 times larger than 2 ⋅ 104.

8 ⋅ 107 is 4 times larger than 2 ⋅ 104.