Convert the following to decimal notation.11.02×10511.02×10511.02 imes 10^5

Question

Convert the following to decimal notation.11.02×10511.02×10511.02 	imes 10^5

BlackTom AI · Accepted Answer

Start by identifying the scientific notation given: 11.02 × 10^5. This means move the decimal point in 11.02 to the right by 5 places, since the exponent is positive.

Option a: "other" is not a numeric value and does not represent a decimal expansion, so it cannot be correct.

Option b: "112 000" would correspond to 1.12 × 10^5 or moving the decimal only 4 places in 11.2, which is inconsistent with the 10^5 factor. It does not match 11.02 × 10^5.

Option c: "11 020 000" implies moving the decimal 6 places (11.02 × 10^6), which is too many shifts for a 10^5 factor. The exponent dictates exactly how many positions to move, so this is incorrect.

Option d: "1 102 000" matches the calculation: 11.02 × 10^5 = 11.02 × 100,000 = 1,102,000. The decimal has moved 5 places to the right from 11.02 to become 1,102,000.

Option e: "110 200" would result from moving the decimal only 4 places or interpreting a different exponent, which does not align with 10^5. This is incorrect.

In summary, the correct decimal form must reflect the impact of multiplying by 10^5, i.e., shifting the decimal five places to the right, yielding 1,102,000. The other options either under- or over-shift the decimal or misinterpret the exponent.

My LMS Subjects Maths for Biomedicine DECIMALS QUIZ

Convert the following to decimal notation.11.02×10511.02×10511.02 \times 10^5

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