Scientific notationScientific to standard form
Name: Date:
Write each number in standard form.
18.5 × 102 =
27.3 × 106 =
39.2 × 106 =
45.5 × 102 =
53.6 × 106 =
62.9 × 104 =
- Free
- Grade 8
- 10⁻⁵ to 10⁸
Scientific notation worksheets
Scientific notation writes any number as something between 1 and 10 times a power of ten. These free printable worksheets ask for each part of that form in turn.
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Ready to printScientific notation
The answer key prints on a separate page.
What's on this sheet
There are four sheets here because a × 10ⁿ has three places a question can leave blank, and each one is a different piece of understanding. Writing 3.5 × 10⁴ in standard form is one skill; being handed 35000 and asked for the power is another; being asked for the coefficient is a third. A child who writes 35 × 10³ has the exponent right and the coefficient wrong, and asking for one part at a time is what makes that visible.
Why this sheet works
Negative powers get their own sheet, because 3.5 × 10⁻⁴ is not a negative number and that is the misreading this standard collects. A child who thinks the minus belongs to the value writes −35000 — wrong sign and wrong size. Mixed in among positive powers the confusion shows up in one question of ten; a sheet of them surfaces it.
How this one works
One question from this sheet, worked through a step at a time.
8.5 × 10²
10²=100
8.5
85
850
8.5
85
850
8.5 × 10²=850
- 10² is 2 tens multiplied together, which is 100. So this asks for 8.5 lots of 100.
- Multiplying by ten moves every digit up one place, which shows up as the point moving one place right. There are 2 of them here, so the point moves 2 places right.
- Following it the whole way: 8.5 → 85 → 850. So 8.5 × 10² = 850.