Question
Write in Scientific Notation
893
,
000
,
000
893,000,000 . Click Here for Help Video.
Be sure to use the multiplicative
×
× .
893
,
000
,
000
893,000,000 . Click Here for Help Video.
Be sure to use the multiplicative
×
× .
Answers
GPT-4o mini
To express the number 893,000,000 in scientific notation, we need to write it in the form of \( a \times 10^n \), where \( 1 \leq a < 10 \) and \( n \) is an integer.
1. First, we write 893,000,000 in standard decimal form: \( 893,000,000 = 893 \times 10^6 \).
2. Now, we need to convert 893 into a form where \( a \) is between 1 and 10. This can be done by moving the decimal point two places to the left:
\[
893 = 8.93 \times 10^2
\]
3. Now substituting back, we have:
\[
893,000,000 = (8.93 \times 10^2) \times 10^6
\]
4. When multiplying the powers of ten, we add the exponents:
\[
10^2 \times 10^6 = 10^{2 + 6} = 10^8
\]
5. Therefore, we can write
\[
893,000,000 = 8.93 \times 10^8
\]
In scientific notation, this number is:
\[
8.93 \times 10^8
\]
1. First, we write 893,000,000 in standard decimal form: \( 893,000,000 = 893 \times 10^6 \).
2. Now, we need to convert 893 into a form where \( a \) is between 1 and 10. This can be done by moving the decimal point two places to the left:
\[
893 = 8.93 \times 10^2
\]
3. Now substituting back, we have:
\[
893,000,000 = (8.93 \times 10^2) \times 10^6
\]
4. When multiplying the powers of ten, we add the exponents:
\[
10^2 \times 10^6 = 10^{2 + 6} = 10^8
\]
5. Therefore, we can write
\[
893,000,000 = 8.93 \times 10^8
\]
In scientific notation, this number is:
\[
8.93 \times 10^8
\]