Question

PLEASE HELP ME WITH MY HOMEWORK! PLEASE PLEASE PLEEEASE!!!!!!

1: Convert 0.00049 to scientific notation.

4.9 ⋅ 103
4.9 ⋅ 104
4.9 ⋅ 10−3
4.9 ⋅ 10−4

2: Compare 8 ⋅ 107 to 2 ⋅ 104.

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.

3: 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.
New Hampshire, Maine, New York, Vermont
New Hampshire, New York, Maine, Vermont
Vermont, Maine, New York, New Hampshire
Maine, Vermont, New Hampshire, New York

4: Convert 7.2 ⋅ 10–3 to standard form.

72,000
7,200
0.0072
0.00072

5: Convert 0.0001 to a power of 10.

10−4
104
10−3
103

6: Which number is the largest? 7.2 ⋅ 10−6, 3.09 ⋅ 103, 2.04 ⋅ 104, 5 ⋅ 103

7.2 ⋅ 10−6
3.09 ⋅ 103
2.04 ⋅ 104
5 ⋅ 103

THANKS!

Answer 1

Hello! Here are the list of answers that you are asking for!

1. In scientific notation, this number will be 4.9 x 10^4.

2. In this one, 8*10^7 is 4000 times larger than 2*10^4.

3. The states from the least to greatest are as follows: New Hampshire, New York, Maine, and Vermont.

4. In standard notation, this is 0.0072.

5. Convert the number to the power of 10 would be 1.0*10^4.

6. And finally the largest number would be 2.04*10^4.

The ^ means the exponent of.

Have a nice day!

Answer 2

Answer:

Last option, first option, second option, third option. first option, third option.

Step-by-step explanation:

1. 0.00049 = $\frac{4.9}{10000}= 4.9 * \frac{1}{10000} = 4.9 * 10^{-4}$.

2. $8*10^{7} = 8*10000000 = 80000000$ and $2*10^{4} = 2*10000$ = 20000, so

80000000/20000 = 4000. Then, $8*10^{7}$ is 4000 times larger than $2*10^{4}$.

3. the correct order would be New hampshire (because 3.14 is the least number and has the least exponent of 10), New York (9.65 > 3.14 and the exponent of 10 is equal), Maine and Vermont (1.89>1.10 with the greatest exponent of 10).

4. 7.2 * 10^{-3} = $7.2* \frac{1}{1000} = \frac{7.2}{1000} = 0.0072$(move the coma three sides to left).

5. $0.0001 = \frac{1}{10000} = \frac{1}{10^{4}} = 10^{-4}$

6. The largest number is 2.04 because has only two decimals and the biggest exponent of 10. $2.04*10^{4} = 20400.$