Express 26502 m into scientific notation.

Question

BlackTom AI · Accepted Answer

To express 26502 m in scientific notation, we look for a number between 1 and 10 multiplied by a power of 10 that equals 26502.
Option 1: 3 × 10^4 m. This would equal 30000 m, which is larger than 26502 m; the coefficient 3 is not consistent with 26502 when scaled to 10^4. Therefore this is incorrect.
Option 2: 2.6502 × 10^4 m. Here, 2.6502 × 10^4 equals 26502 m exactly, since moving the decimal four places to the right yields 26502. This matches the original value, so this option is consistent with scientific notation rules.
Option 3: 0.26502 × 10^5 m. Although algebraically equivalent (since shifting the decimal in opposite directions can produce the same number), the standard form of scientific notation requires the coefficient to be between 1 and 10. 0.26502 is outside that range, so this is not the conventional scientific notation for 26502 m.
Option 4: 26502 × 10^0 m. This is simply 26502 m written with a redundant power of 10 (10^0 = 1). While numerically correct, it is not the standard scientific notation form, which uses a coefficient between 1 and 10 and a nonzero exponent of 10. Therefore this is not the preferred scientific notation.
Overall, the option that uses a coefficient in the 1–10 range and a suitable exponent that reproduces 26502 m is the correct scientific notation form, while the others fail the standard form or produce the same value in a nonstandard way.

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SPHY001 Graded Quiz 1 (Unit 1 and Unit 2)- Requires Respondus LockDown Browser

Express 26502 m into scientific notation.

View Explanation

Log in for full answers

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