Foundation Mathematics Primary 4 Decimals

Siti has four pencils in her pencil case with lengths 12.3 cm, 12.13 cm, 12.03 cm and 12.31 cm. Which list shows the pencils arranged from shortest to longest?

A 12.03 cm, 12.13 cm, 12.3 cm, 12.31 cm
B 12.3 cm, 12.31 cm, 12.13 cm, 12.03 cm
C 12.13 cm, 12.03 cm, 12.3 cm, 12.31 cm
D 12.03 cm, 12.3 cm, 12.13 cm, 12.31 cm
Show Worked Solution

Worked Solution

Step 1: Rewrite all lengths with 2 decimal places. 12.3 → 12.30, 12.13 → 12.13, 12.03 → 12.03, 12.31 → 12.31 Step 2: All have whole number 12; compare tenths digits. 12.03 (0 tenths) < 12.13 (1 tenth) < 12.30 (3 tenths) 12.30 vs 12.31: same tenths, compare hundredths: 0 < 1, so 12.30 < 12.31 Step 3: Order: 12.03, 12.13, 12.30, 12.31 Answer: 12.03 cm, 12.13 cm, 12.3 cm, 12.31 cm

Correct answer: 12.03 cm, 12.13 cm, 12.3 cm, 12.31 cm

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