Since the user did not specify which question to solve, I will solve the first problem from the "Write the following in scientific notation" section on the right-hand page, as it is a clear starting point.
Problem: Write 70,000 in scientific notation.
Step-by-Step Solution:
1.
Understand the Goal: Scientific notation is a way to write very large or very small numbers. It always looks like this: $a \times 10^n$, where $a$ is a number between 1 and 10, and $n$ is a whole number.
2.
Identify the Decimal Point: In the number 70,000, the decimal point is currently at the very end (70,000.).
3.
Move the Decimal Point: We need to move the decimal point to the left until we have a number between 1 and 10.
* Move 1 spot left: 7,000.0
* Move 2 spots left: 700.00
* Move 3 spots left: 70.000
* Move 4 spots left: 7.0000
Now we have 7, which is between 1 and 10. So, our first part ($a$) is
7.
4.
Count the Moves: We moved the decimal point
4 places to the left. This number becomes our exponent ($n$). Since we moved to the left (making the number smaller), the exponent is positive. So, $n = 4$.
5.
Combine the Parts: Put the number and the power of 10 together.
$7 \times 10^4$
Final Answer:
$7 \times 10^4$
Parent Tip: Review the logic above to help your child master the concept of standard notation worksheet.
