Explore · MATH-5B-C09-L07-OPEN
Convert 2.36 m to cm.
Singapore Math 5B · Original independent course
Conversion of Measures
Watch for: Using square/cubic conversion factors for ordinary length or mixing units.. Explain what the quantities mean before calculating.
Opening task
Prerequisite check
Before instruction · MATH-5B-C09-L07-PREREQ
How many centimeters are in 2 meters?
Show worked answer (after attempting)
Answer: 200 cm
Each meter has 100 centimeters: 2 × 100 = 200 cm.
Understand the idea
Convert metric measurements between appropriate length, mass, and capacity units using decimal scaling and label units. The essential earlier idea is: 5A measurement and 4B unit conversion.. The model below will always use the actual quantities from the worked problem. Check using square/cubic conversion factors for ordinary length or mixing units when you explain your answer.
Three worked examples
Worked example 1 · MATH-5B-C09-L07-Q01
Convert 2.35 m to cm.
Solution: 235 cm
Use the length conversion 1 m = 100 cm. Multiply 2.35 by 100 to obtain 235 cm.
Worked example 2 · MATH-5B-C09-L07-Q02
A cord is 0.078 m. Give its length in mm.
Solution: 78 mm
Use the length conversion 1 m = 1000 mm. Multiply 0.078 by 1000 to obtain 78 mm.
Worked example 3 · MATH-5B-C09-L07-Q03
Fill in the equivalent value: 4.506 meters = ___ km. Explain your unit factor.
Solution: 0.004506 km
Use the length conversion 1 m = 0.001 km. Multiply 4.506 by 0.001 to obtain 0.004506 km.
Check understanding
1 · MATH-5B-C09-L07-Q04
Convert 2.36 m to cm.
Show worked answer (after attempting)
Answer: 236 cm
Use the length conversion 1 m = 100 cm. Multiply 2.36 by 100 to obtain 236 cm.
2 · MATH-5B-C09-L07-Q05
A cord is 0.088 m. Give its length in mm.
Show worked answer (after attempting)
Answer: 88 mm
Use the length conversion 1 m = 1000 mm. Multiply 0.088 by 1000 to obtain 88 mm.
3 · MATH-5B-C09-L07-Q06
Fill in the equivalent value: 4.516 meters = ___ km. Explain your unit factor.
Show worked answer (after attempting)
Answer: 0.004516 km
Use the length conversion 1 m = 0.001 km. Multiply 4.516 by 0.001 to obtain 0.004516 km.
Guided practice
1 · MATH-5B-C09-L07-Q07
Convert 2.37 m to cm.
Show worked answer (after attempting)
Answer: 237 cm
Use the length conversion 1 m = 100 cm. Multiply 2.37 by 100 to obtain 237 cm.
2 · MATH-5B-C09-L07-Q08
A cord is 0.098 m. Give its length in mm.
Show worked answer (after attempting)
Answer: 98 mm
Use the length conversion 1 m = 1000 mm. Multiply 0.098 by 1000 to obtain 98 mm.
3 · MATH-5B-C09-L07-Q09
Fill in the equivalent value: 4.526 meters = ___ km. Explain your unit factor.
Show worked answer (after attempting)
Answer: 0.004526 km
Use the length conversion 1 m = 0.001 km. Multiply 4.526 by 0.001 to obtain 0.004526 km.
4 · MATH-5B-C09-L07-Q10
Convert 2.38 m to cm.
Show worked answer (after attempting)
Answer: 238 cm
Use the length conversion 1 m = 100 cm. Multiply 2.38 by 100 to obtain 238 cm.
Independent practice
1 · MATH-5B-C09-L07-Q11
A cord is 0.108 m. Give its length in mm.
Show worked answer (after attempting)
Answer: 108 mm
Use the length conversion 1 m = 1000 mm. Multiply 0.108 by 1000 to obtain 108 mm.
2 · MATH-5B-C09-L07-Q12
Fill in the equivalent value: 4.536 meters = ___ km. Explain your unit factor.
Show worked answer (after attempting)
Answer: 0.004536 km
Use the length conversion 1 m = 0.001 km. Multiply 4.536 by 0.001 to obtain 0.004536 km.
3 · MATH-5B-C09-L07-Q13
Convert 2.39 m to cm.
Show worked answer (after attempting)
Answer: 239 cm
Use the length conversion 1 m = 100 cm. Multiply 2.39 by 100 to obtain 239 cm.
4 · MATH-5B-C09-L07-Q14
A cord is 0.118 m. Give its length in mm.
Show worked answer (after attempting)
Answer: 118 mm
Use the length conversion 1 m = 1000 mm. Multiply 0.118 by 1000 to obtain 118 mm.
5 · MATH-5B-C09-L07-Q15
Fill in the equivalent value: 4.546 meters = ___ km. Explain your unit factor.
Show worked answer (after attempting)
Answer: 0.004546 km
Use the length conversion 1 m = 0.001 km. Multiply 4.546 by 0.001 to obtain 0.004546 km.
6 · MATH-5B-C09-L07-Q16
Convert 2.4 m to cm.
Show worked answer (after attempting)
Answer: 240 cm
Use the length conversion 1 m = 100 cm. Multiply 2.4 by 100 to obtain 240 cm.
7 · MATH-5B-C09-L07-Q17
A cord is 0.128 m. Give its length in mm.
Show worked answer (after attempting)
Answer: 128 mm
Use the length conversion 1 m = 1000 mm. Multiply 0.128 by 1000 to obtain 128 mm.
8 · MATH-5B-C09-L07-Q18
Fill in the equivalent value: 4.556 meters = ___ km. Explain your unit factor.
Show worked answer (after attempting)
Answer: 0.004556 km
Use the length conversion 1 m = 0.001 km. Multiply 4.556 by 0.001 to obtain 0.004556 km.
Challenge and error analysis
1 · MATH-5B-C09-L07-ERR1
The assigned question is: “A cord is 0.158 m. Give its length in mm.” A learner wrote: “I treated the conversion of 0.158 as a change in squared units; my result is 158.1 mm.” 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: 158 mm
The attempted reasoning or reported result does not satisfy the specified operation, units or geometric conditions. Correct mathematical result: 158 mm. Recompute from the given data: Use the length conversion 1 m = 1000 mm. Multiply 0.158 by 1000 to obtain 158 mm.
2 · MATH-5B-C09-L07-ERR2
The assigned question is: “Fill in the equivalent value: 4.586 meters = ___ km. Explain your unit factor.” A learner wrote: “I treated the conversion of 4.586 as a change in squared units; my result is 1.004586 km.” 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: 0.004586 km
The attempted reasoning or reported result does not satisfy the specified operation, units or geometric conditions. Correct mathematical result: 0.004586 km. Recompute from the given data: Use the length conversion 1 m = 0.001 km. Multiply 4.586 by 0.001 to obtain 0.004586 km.
Exit check
Exit · MATH-5B-C09-L07-Q19
Convert 2.41 m to cm.
Show worked answer (after attempting)
Answer: 241 cm
Use the length conversion 1 m = 100 cm. Multiply 2.41 by 100 to obtain 241 cm.