Explore · MATH-5B-C10-L05-OPEN
Share 7.32 equally among 2 groups; find each share.
Great Inheritance Mathematics Term B · Original independent course
Dividing by a Whole Number — Part 1
Watch for: Dropping decimal places when sharing tenths.. Explain what the quantities mean before calculating.
Opening task
Prerequisite check
Before instruction · MATH-5B-C10-L05-PREREQ
Share 3.6 L equally between two containers. How much in each?
Show worked answer (after attempting)
Answer: 1.8 L
3.6 ÷ 2 = 1.8 liters in each container.
Understand the idea
Share a decimal quantity equally among a positive whole number of groups, expressing the quotient in decimal units. The essential earlier idea is: 5A equal-sharing division and decimal place values.. The model below will always use the actual quantities from the worked problem. Check dropping decimal places when sharing tenths when you explain your answer.
Three worked examples
Worked example 1 · MATH-5B-C10-L05-Q01
Share 7.24 equally among 2 groups; find each share.
Solution: 3.62
Partition 7.24 into 2 equal shares; each is 3.62. Check 3.62 × 2 = 7.24.
Worked example 2 · MATH-5B-C10-L05-Q02
5.68 L are poured equally into 4 vessels. How many liters per vessel?
Solution: 1.42 L
Partition 5.68 into 4 equal shares; each is 1.42. Check 1.42 × 4 = 5.68.
Worked example 3 · MATH-5B-C10-L05-Q03
Compute 3.456 ÷ 8 and verify by multiplication.
Solution: 0.432
Partition 3.456 into 8 equal shares; each is 0.432. Check 0.432 × 8 = 3.456.
Check understanding
1 · MATH-5B-C10-L05-Q04
Share 7.32 equally among 2 groups; find each share.
Show worked answer (after attempting)
Answer: 3.66
Partition 7.32 into 2 equal shares; each is 3.66. Check 3.66 × 2 = 7.32.
2 · MATH-5B-C10-L05-Q05
5.76 L are poured equally into 4 vessels. How many liters per vessel?
Show worked answer (after attempting)
Answer: 1.44 L
Partition 5.76 into 4 equal shares; each is 1.44. Check 1.44 × 4 = 5.76.
3 · MATH-5B-C10-L05-Q06
Compute 3.536 ÷ 8 and verify by multiplication.
Show worked answer (after attempting)
Answer: 0.442
Partition 3.536 into 8 equal shares; each is 0.442. Check 0.442 × 8 = 3.536.
Guided practice
1 · MATH-5B-C10-L05-Q07
Share 7.4 equally among 2 groups; find each share.
Show worked answer (after attempting)
Answer: 3.7
Partition 7.4 into 2 equal shares; each is 3.7. Check 3.7 × 2 = 7.4.
2 · MATH-5B-C10-L05-Q08
5.84 L are poured equally into 4 vessels. How many liters per vessel?
Show worked answer (after attempting)
Answer: 1.46 L
Partition 5.84 into 4 equal shares; each is 1.46. Check 1.46 × 4 = 5.84.
3 · MATH-5B-C10-L05-Q09
Compute 3.616 ÷ 8 and verify by multiplication.
Show worked answer (after attempting)
Answer: 0.452
Partition 3.616 into 8 equal shares; each is 0.452. Check 0.452 × 8 = 3.616.
4 · MATH-5B-C10-L05-Q10
Share 7.48 equally among 2 groups; find each share.
Show worked answer (after attempting)
Answer: 3.74
Partition 7.48 into 2 equal shares; each is 3.74. Check 3.74 × 2 = 7.48.
Independent practice
1 · MATH-5B-C10-L05-Q11
5.92 L are poured equally into 4 vessels. How many liters per vessel?
Show worked answer (after attempting)
Answer: 1.48 L
Partition 5.92 into 4 equal shares; each is 1.48. Check 1.48 × 4 = 5.92.
2 · MATH-5B-C10-L05-Q12
Compute 3.696 ÷ 8 and verify by multiplication.
Show worked answer (after attempting)
Answer: 0.462
Partition 3.696 into 8 equal shares; each is 0.462. Check 0.462 × 8 = 3.696.
3 · MATH-5B-C10-L05-Q13
Share 7.56 equally among 2 groups; find each share.
Show worked answer (after attempting)
Answer: 3.78
Partition 7.56 into 2 equal shares; each is 3.78. Check 3.78 × 2 = 7.56.
4 · MATH-5B-C10-L05-Q14
6 L are poured equally into 4 vessels. How many liters per vessel?
Show worked answer (after attempting)
Answer: 1.5 L
Partition 6 into 4 equal shares; each is 1.5. Check 1.5 × 4 = 6.
5 · MATH-5B-C10-L05-Q15
Compute 3.776 ÷ 8 and verify by multiplication.
Show worked answer (after attempting)
Answer: 0.472
Partition 3.776 into 8 equal shares; each is 0.472. Check 0.472 × 8 = 3.776.
6 · MATH-5B-C10-L05-Q16
Share 7.64 equally among 2 groups; find each share.
Show worked answer (after attempting)
Answer: 3.82
Partition 7.64 into 2 equal shares; each is 3.82. Check 3.82 × 2 = 7.64.
7 · MATH-5B-C10-L05-Q17
6.08 L are poured equally into 4 vessels. How many liters per vessel?
Show worked answer (after attempting)
Answer: 1.52 L
Partition 6.08 into 4 equal shares; each is 1.52. Check 1.52 × 4 = 6.08.
8 · MATH-5B-C10-L05-Q18
Compute 3.856 ÷ 8 and verify by multiplication.
Show worked answer (after attempting)
Answer: 0.482
Partition 3.856 into 8 equal shares; each is 0.482. Check 0.482 × 8 = 3.856.
Challenge and error analysis
1 · MATH-5B-C10-L05-ERR1
The assigned question is: “6.32 L are poured equally into 4 vessels. How many liters per vessel?” A learner wrote: “1.58 × 4 = 6.42. I used this intermediate value to finish the assigned problem.” Identify a concrete invalid step or assumption. Work out the correct result and explain why it is valid.
Show worked answer (after attempting)
Answer: Correct result: 1.58 L
The attempted reasoning or reported result does not satisfy the specified operation, units or geometric conditions. Correct mathematical result: 1.58 L. Recompute from the given data: Partition 6.32 into 4 equal shares; each is 1.58. Check 1.58 × 4 = 6.32.
2 · MATH-5B-C10-L05-ERR2
The assigned question is: “Compute 4.096 ÷ 8 and verify by multiplication.” A learner wrote: “0.512 × 8 = 5.096. I used this intermediate value to finish the assigned problem.” Identify a concrete invalid step or assumption. Work out the correct result and explain why it is valid.
Show worked answer (after attempting)
Answer: Correct result: 0.512
The attempted reasoning or reported result does not satisfy the specified operation, units or geometric conditions. Correct mathematical result: 0.512. Recompute from the given data: Partition 4.096 into 8 equal shares; each is 0.512. Check 0.512 × 8 = 4.096.
Exit check
Exit · MATH-5B-C10-L05-Q19
Share 7.72 equally among 2 groups; find each share.
Show worked answer (after attempting)
Answer: 3.86
Partition 7.72 into 2 equal shares; each is 3.86. Check 3.86 × 2 = 7.72.