Does writing an extra zero at the end of a decimal, changing 0.31 to 0.310, change its value?
AYes, it becomes ten times larger
BYes, it becomes ten times smaller
CNo, the value stays the same
DNo, but it becomes a fraction
Answer & Solution
Correct answer: C. No, the value stays the same
1. Convert 0.31 to a fraction: 31/100.
2. Convert 0.310 to a fraction: 310/1000, which simplifies back to 31/100.
3. Both decimals represent the exact same fraction.
4. Writing zeros at the end of a decimal does not change its value, so 0.31 and 0.310 are equivalent decimals.
_Source: OpenStax Prealgebra (CC BY 4.0), Ch 5 "Decimals", section 5.1 Decimals_
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