2. What answer represents this number in scientific notation?

0.00000916

a. 916 x 10^-8
b. 9.16 x 10^-6
c. 916 x 10^8
d. 9.16 x 10^6

3. What is this number in standard form?
6.8 x 10^-4

a. 5,750,000,000
b. 575,000,000,000
c. 0.00000000575
d. 0.575000000000

5. What is this number in standard form?
5.2 x 10^8

a. 0.000000052
b. 0.0000000052
c. 520,000,000
d. 5,200,000,000

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0.000000052

To answer these questions, let's first understand the concept of scientific notation and standard form.

Scientific notation is a way to express very large or very small numbers using powers of 10. It is written in the form a × 10^b, where "a" is a number between 1 and 10, and "b" is an integer.

Standard form, on the other hand, is the usual way of writing numbers, without using powers of 10. It is written as a regular decimal number.

Now, let's tackle each question:

2. What answer represents this number in scientific notation? 0.00000916

To determine the scientific notation of this number, we need to move the decimal point until there is only one non-zero digit to the left of it. Count the number of places you moved the decimal point to get the new value. If you move it to the left, the exponent will be positive. If you move it to the right, the exponent will be negative.

In this case, we moved the decimal point 6 places to the right to get 9.16, so the exponent will be -6. Therefore, the correct answer is option b: 9.16 x 10^-6.

3. What is this number in standard form? 6.8 x 10^-4

To convert a number in scientific notation to standard form, we need to multiply the number "a" by 10 raised to the power of "b." In this case, we have 6.8 x 10^-4.

To get the standard form, we multiply 6.8 by 10 raised to the power of -4. Moving the decimal point 4 places to the left gives us 0.00068. Therefore, the correct answer is option c: 0.00000000575.

5. What is this number in standard form? 5.2 x 10^8

To convert a number in scientific notation to standard form, we again need to multiply the number "a" by 10 raised to the power of "b." In this case, we have 5.2 x 10^8.

To get the standard form, we multiply 5.2 by 10 raised to the power of 8. Moving the decimal point 8 places to the right gives us 520,000,000. Therefore, the correct answer is option c: 520,000,000.

By following the steps of converting between scientific notation and standard form, we can correctly answer these questions.

half of the answers

1.B
2.C
4.D
5.C