Question
1.95 x 10^6
show your work
show your work
Answers
GPT-4o mini
Sure! To understand how to work with the number \( 1.95 \times 10^6 \), let's break it down step by step.
**Step 1: Understanding Scientific Notation**
The number is in scientific notation, which is a way to express very large or very small numbers conveniently. The general form of scientific notation is:
\[
a \times 10^n
\]
where:
- \( a \) is a number greater than or equal to 1 and less than 10 (in this case, \( 1.95 \)).
- \( n \) is an integer that indicates the power of ten (in this case, \( 6 \)).
**Step 2: Calculate the Value**
To convert \( 1.95 \times 10^6 \) into standard decimal notation, we need to multiply \( 1.95 \) by \( 10^6 \).
1. **Calculate \( 10^6 \)**:
\[
10^6 = 1,000,000
\]
2. **Multiply \( 1.95 \) by \( 1,000,000 \)**:
\[
1.95 \times 1,000,000 = 1,950,000
\]
**Step 3: Conclusion**
Thus, the value of \( 1.95 \times 10^6 \) in standard decimal notation is:
\[
\boxed{1,950,000}
\]
**Step 1: Understanding Scientific Notation**
The number is in scientific notation, which is a way to express very large or very small numbers conveniently. The general form of scientific notation is:
\[
a \times 10^n
\]
where:
- \( a \) is a number greater than or equal to 1 and less than 10 (in this case, \( 1.95 \)).
- \( n \) is an integer that indicates the power of ten (in this case, \( 6 \)).
**Step 2: Calculate the Value**
To convert \( 1.95 \times 10^6 \) into standard decimal notation, we need to multiply \( 1.95 \) by \( 10^6 \).
1. **Calculate \( 10^6 \)**:
\[
10^6 = 1,000,000
\]
2. **Multiply \( 1.95 \) by \( 1,000,000 \)**:
\[
1.95 \times 1,000,000 = 1,950,000
\]
**Step 3: Conclusion**
Thus, the value of \( 1.95 \times 10^6 \) in standard decimal notation is:
\[
\boxed{1,950,000}
\]