FTCE General Knowledge Math Practice Test

How is 4.6368 x 10^7 expressed in standard form?

1. 46,368,000

2. 4,636,800

3. 463,680

4. 0.46368

The correct answer is: 46,368,000

To express the number \(4.6368 \times 10^7\) in standard form, you need to understand that the notation \(10^7\) indicates that the decimal point in the number \(4.6368\) will be moved 7 places to the right. This is because \(10^7\) signifies that the original number is being multiplied by 10 seven times. Starting with \(4.6368\): 1. Moving the decimal 1 place to the right gives 46.368. 2. Moving it 2 places gives 463.68. 3. Moving it 3 places gives 4636.8. 4. Moving it 4 places gives 46368. 5. Moving it 5 places gives 463680. 6. Moving it 6 places gives 4636800. 7. Finally, moving it 7 places results in \(46368000\). In standard form, this is expressed as \(46,368,000\). Thus, the choice that accurately represents \(4.6368 \times 10^7\) in standard form is indeed \(46,368,000\).