What is \(6\ 280\ 000\) in standard form?
- \(628\times 10^4\)
- \(62.8\times 10^5\)
- \(6.28\times 10^6\)
- \(0.628\times 10^7\)
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What is \(6\ 280\ 000\) in standard form?
\(C\)
\(6\ 280\ 000=6.28\times 10^6\)
\(\Rightarrow C\)
What is 0.0004782 expressed in standard form with two significant figures?
`A`
| `0.0004782` | `= 4.782 xx 10^(-4)` |
| `= 4.8 xx 10^(-4)\ \ \ text{(to 2 sig fig)}` |
`⇒ A`
The distance from Earth to the Moon is approximately 384 400 km.
What is this distance in standard form correct to two significant figures?
`C`
`384\ 400`
`= 3.844 × 10^5`
`\text(Rounded to 2 significant figures) → 3.9 × 10^5\ \text{km}`
`⇒ C`
What is 650 000 000 expressed in standard form?
`B`
`650\ 000\ 000 = 6.5 xx 10^8`
`=>B`
What is 0.002073 expressed in standard form with two significant figures?
`B`
| `0.002073` | `= 2.073 xx 10^(-3)` | |
| `=2.1 xx 10^(-3)\ \ \ text{(to 2 sig fig)}` |
`=> B`
What is 0.002073 expressed in standard form with two significant figures?
`D`
| `0.002073` | `= 2.073 xx 10^(-3)` | |
| `=2.1 xx 10^(-3)\ \ \ text{(to 2 sig fig)}` |
`=> D`
What is 1 560 200 km written in standard form correct to two significant figures?
`D`
COMMENT: Incredibly, the first MC question in 2015 had the lowest mean mark of all MC questions in the exam!
`1\ 560\ 200`
`= 1.5602 xx 10^6`
`= 1.6 xx 10^6\ text(km)\ \ \ text{(2 sig fig)}`
`=> D`
What is `0.000\ 000\ 326` mm expressed in scientific notation?
`B`
`0.000\ 000\ 326\ text(mm)`
`= 3.26 xx 10^-7\ \ text(mm)`
`=> B`
The mass of a sample of microbes is 50 mg. There are approximately `2.5 × 10^6` microbes in the sample.
In standard form, what is the approximate mass in grams of one microbe? (2 marks)
--- 4 WORK AREA LINES (style=lined) ---
`2 xx 10^-8\ text(grams)`
| `text(We need to convert 50 mg into grams)` | |
| `50\ text(mg) = 50/1000 = 0.05\ text(g) = 5 xx 10^-2\ text(grams)` |
| `:.\ text(Mass of 1 microbe)` | `= text(mass of sample)/text(# microbes)` |
| `= (5 xx 10^-2)/(2.5 xx 10^6)` | |
| `= 2 xx 10^-8\ text(grams)` |