Math worksheet on standard form conversion with practice problems and examples.

1.
a. 3.2 × 10³
b. 7.6 × 10²
c. 4.73 × 10³
d. 9.3 × 10³
e. 1.26 × 10⁴
f. 8.346 × 10⁴
g. 4.8455 × 10⁴
h. 2.501 × 10⁶
i. 4.3002 × 10⁴
j. 6.601 × 10⁷
k. 8.12 × 10⁵
l. 7 × 10⁸

2.
a. 3 × 10⁻³
b. 5.6 × 10⁻⁴
c. 6 × 10⁻⁶
d. 3.48 × 10⁻²
e. 4.2 × 10⁻⁵
f. 5.401 × 10⁻⁵
g. 5.21 × 10⁻³
h. 3.26 × 10⁻⁶
i. 4.0032 × 10⁻⁵
j. 5.6 × 10⁻¹
k. 4.0002 × 10⁻⁷
l. 4.802 × 10⁻⁵

3.
a. 2000
b. 740
c. 18350
d. 4400000
e. 30012
f. 58302000
g. 1.276
h. 0.051
i. 0.0000000274
j. 98300
k. 0.000501
l. 0.000000001076

4.
Water molecule: 2.7 × 10⁻¹⁰ metres
DNA: 2 × 10⁻⁹ metres
DNA is widest.

5.
Sophie moved the decimal point too far — she moved it 5 places instead of 4.
Correct answer: 2.7 × 10⁻⁴