Four cards show 1.2, 1.20, 1.02 and 1.022. Which two cards show the SAME number?

Class 6DecimalsDecimals

A1.02 and 1.022
B1.20 and 1.02
C1.2 and 1.20
D1.2 and 1.022

Step-by-Step Solution

A trailing zero after the decimal point changes nothing, so 1.2 = 1.20. In 1.02 the 2 sits in the hundredths place, and 1.022 adds 2 thousandths on top of that, so those two differ from each other and from 1.2.

Answer: C) 1.2 and 1.20

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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