Decimals · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.
4. How many decimals from this list are less than 1?
0.99, 1.01, 0.9, 1.0, 0.999, 1.1
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Answer: D) 3
Compare each with 1: 0.99 < 1 (yes), 1.01 > 1, 0.9 < 1 (yes), 1.0 = 1, 0.999 < 1 (yes), 1.1 > 1. Count less than 1 = 3.
5. A jeweller compares two gold pieces of mass 0.305 g and 0.35 g.
A helper says 0.305 is greater because 305 is greater than 35.
Which is actually greater and why?
- A0.35 is greater; write both to thousandths as 0.350 and 0.305, then 350 > 305
- B0.305 is greater because 305 > 35
- CThey are equal
- D0.305 is greater because it has more decimal places
Show answer
Answer: A) 0.35 is greater; write both to thousandths as 0.350 and 0.305, then 350 > 305
Make the places equal: 0.35 = 0.350 and 0.305 stays. Compare 350 and 305 thousandths: 350 > 305, so 0.35 > 0.305. The helper is wrong.