Whole numbers and decimals
Try these fresh problems without your notes. Explain your method before opening a solution. This practice is not a graded school assessment.
Check 1
Calculate 8.4 ÷ 0.7.
Check 2
What is the greatest common factor of 18 and 48?
Challenge 1
A 5 kg bag is split into 0.35 kg portions. Find the number of full portions and the leftover mass.
Show a hint
Use division for the portion count, then subtract the mass used by complete portions.
Show the worked solution
14 full portions; 0.1 kg remains.
14 × 0.35 = 4.9 kg, leaving 5 − 4.9 = 0.1 kg. A fifteenth portion would require 5.25 kg.
Challenge 2
A class buys 16 notebooks at $1.25 each and 8 pens at $0.85 each. Is a $30 budget enough, and how much remains?
Show a hint
Calculate each product separately, then compare their sum with the budget.
Show the worked solution
Yes; the total is $26.80 and $3.20 remains.
Notebooks cost $20 and pens cost $6.80. Their sum is $26.80; subtract from $30 to get $3.20.
Decide what to revisit
If a method was difficult to explain, return to that lesson and schedule a recall check. Unit-review answers are not saved as a score.
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