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3. which statements are true? select all that apply. a) 1.405 > 1.450 b…

Question

  1. 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 4. which two statements about rounding to the nearest hundredth are correct? a) 5.066 rounds to 5.07. b) 5.074 rounds to 5.08. c) 5.117 rounds to 5.10. d) 5.108 rounds to 5.11. e) 5.025 rounds to 5.02.

Explanation:

Response
For Question 3:

Step1: Compare decimals in A

$1.405$ vs $1.450$: $1.405 < 1.450$, so A is false.

Step2: Compare decimals in B

$42.03$ vs $4.203$: $42.03 > 4.203$, so B is false.

Step3: Compare decimals in C

$61.50$ vs $6.150$: $61.50 > 6.150$, so C is false.

Step4: Compare decimals in D

$9.170$ vs $9.017$: $9.170 > 9.017$, so D is true.

Step5: Compare decimals in E

$3.6$ vs $3.600$: Trailing zeros don't change value, so E is true.

Step6: Compare decimals in F

$25.04$ vs $20.54$: $25.04 > 20.54$, so F is false.

Step1: Round 5.066 to hundredth

Look at thousandth digit 6: $5.066 \approx 5.07$, so A is true.

Step2: Round 5.074 to hundredth

Look at thousandth digit 4: $5.074 \approx 5.07$, so B is false.

Step3: Round 5.117 to hundredth

Look at thousandth digit 7: $5.117 \approx 5.12$, so C is false.

Step4: Round 5.108 to hundredth

Look at thousandth digit 8: $5.108 \approx 5.11$, so D is true.

Step5: Round 5.025 to hundredth

Look at thousandth digit 5: $5.025 \approx 5.03$, so E is false.

Answer:

D) $9.170 > 9.017$, E) $3.6 = 3.600$

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For Question 4: