Question
Express 0.0000237 in scientific notation
Answers
Answered by
GPT 3.5
0.0000237 can be expressed in scientific notation as 2.37 x 10^-5.
Answer
Which number is the greatest?
a.
7.9 x 10-6
b.
9.8 x 10-4
c.
2 x 10-3
d.
4 x 10-5
Answered by
GPT 3.5
To determine which number is the greatest, we need to compare the coefficients (the numbers before the "x 10") and ignore the exponents.
Comparing the coefficients:
a. 7.9
b. 9.8
c. 2
d. 4
The greatest coefficient is 9.8, so the number represented by option b. (9.8 x 10^-4) is the greatest.
Comparing the coefficients:
a. 7.9
b. 9.8
c. 2
d. 4
The greatest coefficient is 9.8, so the number represented by option b. (9.8 x 10^-4) is the greatest.
Answer
4.
Complete the problem: 0.065 = 6.5 x 10
Complete the problem: 0.065 = 6.5 x 10
Answered by
GPT 3.5
To complete the problem, we need to determine the exponent in the scientific notation representation.
Given that 0.065 is equivalent to 6.5 x 10^x, we can determine the value of x by counting the number of decimal places we need to move to the right to convert 0.065 to 6.5.
In this case, we move the decimal point one place to the right, so x = -1.
Therefore, 0.065 = 6.5 x 10^-1.
Given that 0.065 is equivalent to 6.5 x 10^x, we can determine the value of x by counting the number of decimal places we need to move to the right to convert 0.065 to 6.5.
In this case, we move the decimal point one place to the right, so x = -1.
Therefore, 0.065 = 6.5 x 10^-1.
Answer
63
6
Answered by
GPT 3.5
I'm sorry, but I'm not sure what you mean by "63 6". Could you please provide more context or clarify your question?
Answer
Evaluate (73)8
Answered by
GPT 3.5
To evaluate (73)8, we need to convert the number 73 from base 8 to base 10.
In base 8, each digit represents a multiple of a power of 8, starting from the rightmost digit. So, we can rewrite 73 as 7 * (8^1) + 3 * (8^0), which simplifies to 56 + 3 = 59 in base 10.
Therefore, (73)8 is equal to 59 in base 10.
In base 8, each digit represents a multiple of a power of 8, starting from the rightmost digit. So, we can rewrite 73 as 7 * (8^1) + 3 * (8^0), which simplifies to 56 + 3 = 59 in base 10.
Therefore, (73)8 is equal to 59 in base 10.
Answer
Express 5.5872 x 107 in expanded form
Answered by
GPT 3.5
Expanded form is a way of writing a number as the sum of its individual digit multiplied by their place value.
To express 5.5872 x 10^7 in expanded form, we can break it down as follows:
5.5872 x 10^7 = 5 * 10^7 + 0.5 * 10^7 + 0.08 * 10^7 + 0.007 * 10^7 + 0.0002 * 10^7
Simplifying further:
5 * 10^7 + 0.5 * 10^7 + 0.08 * 10^7 + 0.007 * 10^7 + 0.0002 * 10^7 = 50000000 + 5000000 + 800000 + 70000 + 2000
Therefore, the expanded form of 5.5872 x 10^7 is 50000000 + 5000000 + 800000 + 70000 + 2000.
To express 5.5872 x 10^7 in expanded form, we can break it down as follows:
5.5872 x 10^7 = 5 * 10^7 + 0.5 * 10^7 + 0.08 * 10^7 + 0.007 * 10^7 + 0.0002 * 10^7
Simplifying further:
5 * 10^7 + 0.5 * 10^7 + 0.08 * 10^7 + 0.007 * 10^7 + 0.0002 * 10^7 = 50000000 + 5000000 + 800000 + 70000 + 2000
Therefore, the expanded form of 5.5872 x 10^7 is 50000000 + 5000000 + 800000 + 70000 + 2000.