Use $$ \langle $$,$$ angle , or = $$ to compare the following decimal \begin{tabular}{|l|c|c|}\hline (a) $$ 0.700.7 $$ \ (b) $$ 1.08=1.6 $$ \ (c) $$ 5.98

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Use $$ \langle $$,$$ angle , or = $$ to compare the following decimal \begin{tabular}{|l|c|c|}\hline (a) $$ 0.70>0.7 $$ \ (b) $$ 1.08=1.6 $$ \ (c) $$ 5.98<8.73 $$ & $$ \square<\square $$ & $$ \square>\square $$ \ \hline\end{tabular}

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Let’s compare each pair step by step. (a) Compare 0.70 and 0.7. • Although 0.70 has an extra zero, it represents the same number as 0.7. • Therefore, 0.70 = 0.7. (b) Compare 1.08 and 1.6. • It helps to rewrite 1.6 as 1.60. • Now compare digit by digit: – The ones place: both have 1. – The tenths place: both have 0. – The hundredths place: 8 in 1.08 versus 6 in 1.60. • Since 8 > 6? That might seem like 1.08 > 1.60, but remember the whole value matters. Actually, 1.08 means 1 + 0.08 and 1.60 means 1 + 0.60. • Because 0.08 < 0.60, it follows that 1.08 < 1.6. (c) Compare 5.98 and 8.73. • The ones digit in 5.98 is 5 versus 8 in 8.73. • Since 5 < 8, we have 5.98 < 8.73. The table given shows: (a) 0.70 > 0.7 (b) 1.08 = 1.6 (c) 5.98 < 8.73 Using our reasoning, we see that: – (a) is incorrect because 0.70 = 0.7. – (b) is incorrect because 1.08 < 1.6. – (c) is correct. For extra practice, you might fill in blanks like these: • For an example true statement of the form □ < □, you could write 0.15 < 0.51. • For a true statement of the form □ > □, you might write 2.3 > 2.03. In summary: 0.70 = 0.7 1.08 < 1.6 5.98 < 8.73 0.70 = 0.7 1.08 < 1.6 5.98 < 8.73

Use , to compare the following decimal

(a)

(b)

(c)

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