Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

2 select the statements that correctly compare the numbers.\ □ 0.15 < 0…

Question

2 select the statements that correctly compare the numbers.\
□ 0.15 < 0.015 □ 0.92 > 0.092\
□ 1.8 = 1.80 □ 5.02 = 5.20\
□ 6.025 < 6.052 □ 6.27 > 6.72

Explanation:

Step1: Compare 0.15 and 0.015

$0.15 = \frac{15}{100}$, $0.015 = \frac{15}{1000}$, so $0.15 > 0.015$ (statement is false)

Step2: Compare 0.92 and 0.092

$0.92 = \frac{92}{100}$, $0.092 = \frac{92}{1000}$, so $0.92 > 0.092$ (statement is true)

Step3: Compare 1.8 and 1.80

Trailing zero after decimal does not change value, so $1.8 = 1.80$ (statement is true)

Step4: Compare 5.02 and 5.20

$5.02 = 5 + \frac{2}{100}$, $5.20 = 5 + \frac{20}{100}$, so $5.02 < 5.20$ (statement is false)

Step5: Compare 6.025 and 6.052

$6.025 = 6 + \frac{25}{1000}$, $6.052 = 6 + \frac{52}{1000}$, so $6.025 < 6.052$ (statement is true)

Step6: Compare 6.27 and 6.72

$6.27 = 6 + \frac{27}{100}$, $6.72 = 6 + \frac{72}{100}$, so $6.27 < 6.72$ (statement is false)

Answer:

  • $\square$ 0.92 > 0.092
  • $\square$ 1.8 = 1.80
  • $\square$ 6.025 < 6.052