1. Multiple Choice
The area of Greenland is 840,000 square miles. What is this number in scientific notation?
2.What answer represents this number in scientific notation?
0.00000916
3.What is this number in standard form?
5.75 × 109
4. What is this number in standard form?
6.8 × 10-4
1. 8.4 x 10^5
2. 9.16 x 10^-6
3. 5750000000
4. 0.00068
1. To convert 840,000 square miles to scientific notation, we need to move the decimal point to the left until there is only one non-zero digit in front. Here's the step-by-step process:
a. Start with 840,000.
b. Move the decimal point 5 places to the left: 8.4.
c. The exponent is 5 since we moved the decimal point 5 places.
d. The final answer in scientific notation is 8.4 × 10^5.
2. To represent 0.00000916 in scientific notation, we need to move the decimal point to the right until there is only one non-zero digit in front. Here are the steps:
a. Start with 0.00000916.
b. Move the decimal point 6 places to the right: 9.16.
c. The exponent is -6 since we moved the decimal point 6 places to the right.
d. The final answer in scientific notation is 9.16 × 10^-6.
3. To convert 5.75 × 10^9 to standard form, we need to multiply the coefficient by 10 raised to the power of the exponent. Here's the step-by-step process:
a. Start with 5.75 × 10^9.
b. Multiply the coefficient (5.75) by 10 raised to the power of the exponent (9): 5.75 × 10,000,000,000.
c. The final answer in standard form is 57,500,000,000.
4. To convert 6.8 × 10^-4 to standard form, we need to multiply the coefficient by 10 raised to the power of the exponent. Here's the step-by-step process:
a. Start with 6.8 × 10^-4.
b. Multiply the coefficient (6.8) by 10 raised to the power of the exponent (-4): 6.8 × 0.0001.
c. The final answer in standard form is 0.00068.
1. To convert a number into scientific notation, you need to move the decimal point to the right or left to obtain a number between 1 and 10, and then multiply it by a power of 10. In this case, we want to express 840,000 in scientific notation.
First, identify the position of the decimal point in 840,000: 840,000.0
Next, move the decimal point to the left until you have a number between 1 and 10. In this case, we can move the decimal point five places to the left, resulting in 8.4.
Finally, multiply this number by 10 raised to the power of the number of decimal places moved. Since we moved the decimal point five places to the left, we will raise 10 to the power of 5.
Therefore, 840,000 in scientific notation is 8.4 × 10^5.
2. To express a number in scientific notation, you need to move the decimal point to the right or left to obtain a number between 1 and 10. Additionally, you have to determine the power of 10 by counting the number of places you moved the decimal point.
In this case, we have 0.00000916. To convert this into scientific notation:
First, identify the position of the decimal point: 0.00000916.
Next, move the decimal point to the right until you have a number between 1 and 10. In this case, we can move the decimal point six places to the right, resulting in 9.16.
Finally, count the number of decimal places moved to determine the power of 10. Since we moved the decimal point six places to the right, we will raise 10 to the power of -6.
Therefore, 0.00000916 in scientific notation is 9.16 × 10^-6.
3. To convert a number from scientific notation to standard form, you need to multiply the number part by the power of 10 raised to the exponent.
In this case, we have 5.75 × 10^9.
To convert this to standard form, we multiply 5.75 by 10 raised to the power of 9.
Therefore, 5.75 × 10^9 in standard form is 5,750,000,000.
4. To convert a number from scientific notation to standard form, you need to multiply the number part by the power of 10 raised to the exponent.
In this case, we have 6.8 × 10^-4.
To convert this to standard form, we multiply 6.8 by 10 raised to the power of -4.
Therefore, 6.8 × 10^-4 in standard form is 0.000068.