Let's solve each question step by step and explain how to convert numbers into
standard form (also known as
scientific notation).
---
🔹 Standard Form Rule:
A number in standard form is written as:
> $ a \times 10^n $
where:
- $ 1 \leq a < 10 $
- $ n $ is an integer (positive or negative)
To convert:
- Move the decimal point so that only
one non-zero digit is to the left of the decimal.
- Count how many places you moved the decimal — this gives the exponent $ n $.
- If you move
left, $ n $ is
positive.
- If you move
right, $ n $ is
negative.
---
✔ Question 6) Change 0.0000234 to standard form.
We start with:
0.0000234
We need to move the decimal point so that there’s
one non-zero digit before the decimal.
Move the decimal point
5 places to the right to get:
> 2.34
So, we moved the decimal
5 places right, which means:
> $ 0.0000234 = 2.34 \times 10^{-5} $
✔ Correct answer:
b) $ 2.34 \times 10^{-5} $
---
✔ Question 7) Change 7267000 to standard form.
Start with:
7,267,000
Move the decimal point so that only one digit is before it.
Move decimal
6 places to the left to get:
> 7.267
So:
> $ 7,267,000 = 7.267 \times 10^6 $
✔ Correct answer:
a) $ 7.267 \times 10^6 $
---
✔ Question 8) Change 0.000678 to standard form.
Start with:
0.000678
Move decimal point
4 places to the right to get:
> 6.78
So:
> $ 0.000678 = 6.78 \times 10^{-4} $
✔ Correct answer:
b) $ 6.78 \times 10^{-4} $
---
🟩 Final Answers:
6)
b) $ 2.34 \times 10^{-5} $
7)
a) $ 7.267 \times 10^6 $
8)
b) $ 6.78 \times 10^{-4} $
Let me know if you'd like a visual explanation!
Parent Tip: Review the logic above to help your child master the concept of standard form math worksheet.
