Standard form calculator
0.000345 in standard form
3.45 × 10⁻⁴
As an ordinary number: 0.000345.
Working
- Place the decimal point after the first non-zero digit: 3.45. That number is between 1 and 10.
- The point moved 4 places to the right, so the power of 10 is −4 (a number less than 1 has a negative power).
- So 0.000345 = 3.45 × 10⁻⁴.
Your result
3.45 × 10⁻⁴. As an ordinary number: 0.000345.
Standard form, step by step
GCSE Maths Pro
Get a grade 8 or your money back
£119 once
No VAT is charged. Conditions
Your mock plan, in three taps
A number in standard form is A × 10ⁿ with A between 1 and 10: 0.000345 is 3.45 × 10⁻⁴ and 34,500,000 is 3.45 × 10⁷.
Questions people ask
How do you convert to standard form?
Move the decimal point so there is one non-zero digit in front of it. Count how many places it moved: that is the power of 10. Moving left (a big number) gives a positive power; moving right (a number less than 1) gives a negative one.
How do you multiply numbers in standard form?
Multiply the front numbers and add the powers. (3 × 10⁴) × (5 × 10⁶) = 15 × 10¹⁰, then adjust 15 to 1.5 × 10¹, giving 1.5 × 10¹¹.
How do you add numbers in standard form?
Make the powers the same first. 4 × 10⁵ + 3 × 10⁴ = 4 × 10⁵ + 0.3 × 10⁵ = 4.3 × 10⁵. Or write both as ordinary numbers, add, and convert back.
Is 12 × 10³ in standard form?
No: the first number must be at least 1 and less than 10. 12 × 10³ = 1.2 × 10⁴.
More free tools
Keep going
How we work this out
What it does
Convert to and from standard form, or multiply, divide, add and subtract numbers in standard form, with the working shown.
Numbers up to 30 characters, powers of 10 from −99 to 99.
Method
- Move the decimal point until the number is between 1 and 10; the power of 10 is how far it moved, negative for numbers below 1.
- To multiply, multiply the numbers and add the powers; to divide, divide the numbers and subtract the powers.
- To add or subtract, write both with the same power of 10 first, then adjust so the first number is between 1 and 10.