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Question
- which statements are true? select all that apply. a) 1.405 > 1.450 b) 42.03 = 4.203 c) 61.50 < 6.150 d) 9.170 > 9.017 e) 3.6 = 3.600 f) 25.04 < 20.54
Step1: Compare A's decimals
$1.405$ vs $1.450$: The hundredths place $0 < 5$, so $1.405 < 1.450$. Statement A is false.
Step2: Compare B's decimals
$42.03$ vs $4.203$: $42 > 4$, so $42.03
eq 4.203$. Statement B is false.
Step3: Compare C's decimals
$61.50$ vs $6.150$: $61 > 6$, so $61.50 > 6.150$. Statement C is false.
Step4: Compare D's decimals
$9.170$ vs $9.017$: The tenths place $1 > 0$, so $9.170 > 9.017$. Statement D is true.
Step5: Compare E's decimals
$3.6$ vs $3.600$: Trailing zeros after decimal do not change value, so $3.6 = 3.600$. Statement E is true.
Step6: Compare F's decimals
$25.04$ vs $20.54$: $25 > 20$, so $25.04 > 20.54$. Statement F is false.
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D) $9.170 > 9.017$, E) $3.6 = 3.600$