Which sign makes this true: 8.4 ___ 8.375 ?

Class 6DecimalsDecimals

A<
B>
C=
DCannot be decided without more digits

Step-by-Step Solution

Pad to three places: 8.400 against 8.375. At the tenths place 4 > 3, and that settles it — 8.4 > 8.375. Counting digits instead of comparing place values makes 8.375 look bigger than it really is.

Answer: B) >

Key idea: Comparing decimals

Comparing decimals is just comparing place values left-to-right. To make it easy, give both numbers the **same number of decimal places** by adding zeros on the right (which never changes the value). Compare 1.4 and 1.42: rewrite 1.4 as 1.40. Now compare digit-by-digit — 1.40 vs 1.42 → at the hundredths place, 0 < 2 → 1.4 < 1.42.

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