Question

question 71
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which number has the greater value?
select one:
a. 0.12
b. 0.123
question 72
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answered
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which number has the greater value?
select one:
a. 1 \\(\frac{1}{5}\\)
b. 1.25

Explanation:

Question 71

Step1: Compare decimal places

0.12 can be written as 0.120. Now compare 0.120 and 0.123.

Step2: Compare thousandths place

The hundredths place is same (2), compare thousandths: 0 (in 0.120) vs 3 (in 0.123). Since 3 > 0, 0.123 > 0.12.

Step1: Convert mixed number to decimal

\(1\frac{1}{5} = 1 + \frac{1}{5}\). \(\frac{1}{5}=0.2\), so \(1\frac{1}{5}=1.2\).

Step2: Compare decimals

Compare 1.2 and 1.25. The tenths place is same (2), compare hundredths: 0 (in 1.2) vs 5 (in 1.25). Since 5 > 0, 1.25 > \(1\frac{1}{5}\).

Answer:

b. 0.123

Question 72