Scientific notation — Grade 7 Math, what it means and where it is taught
A number written as a × 10n, where 1 ≤ a < 10.
Taught in Grade 7 Math.
Where it is taught
Practise this idea
8 questions in the course bank use Scientific notation, in Exponents & Scientific Notation, Operations with Scientific Notation.
Problem 1
Write 0.00047 in scientific notation. Enter just the exponent of 10.
Worked answer
-4
0.00047 → 4.7 is 4 places right
Small number, so negative: 4.7 × 10-4
Problem 2
Write 52,000 in scientific notation. Enter just the exponent of 10.
Worked answer
4
52,000 → 5.2 is 4 places left
5.2 × 104
Problem 3
Compute (5 × 104)(4 × 103) in scientific notation. Enter just the exponent of 10.
Worked answer
8
5 × 4 = 20 and 104 · 103 = 107
20 × 107 = 2 × 101 × 107
= 2 × 108
Problem 4
Write 47,000 in scientific notation.
Worked answer
4.7 x 10^4
4.7, moved 4 places
4.7 × 104
Problem 5
Write 0.00062 in scientific notation.
Worked answer
6.2 x 10^-4
6.2, moved 4 places right
6.2 × 10-4
Problem 6
Compute (5 × 104)(6 × 103) in proper scientific notation.
Worked answer
3 x 10^8
5 × 6 = 30 and 4 + 3 = 7
30 × 107 — front is too big
= 3 × 108
Problem 7
Rewrite 0.045 × 107 in proper scientific notation.
Worked answer
4.5 x 10^5
0.045 = 4.5 × 10-2
-2 + 7 = 5
4.5 × 105
Problem 8
Compute 2 × 1048 × 10-2 in scientific notation.
Worked answer
2.5 x 10^5
2 ÷ 8 = 0.25
4 - (-2) = 6
0.25 × 106 = 2.5 × 105