find the greatest length which can be contained exactly in 10m 5dm 2cm 4mm and 12m 7dm 5cm 2mm
Answers
Answer:
The greatest length that can be contained exactly in the two measurements is 4 mm.
Step-by-step explanation:
Step 1 : Convert the measurements to the smallest units in the question.
The smallest unit is mm.
The conversions are as follows :
1 m = 1000 mm
1 cm = 10 mm
1 dm = 100 mm
Step 2 : Apply the conversions in the given measurements.
10m 5dm 2cm 4mm
10 × 1000 + 5 × 100 + 2 × 10 + 4 = 10524 mm
12m 7dm 5 cm 2mm
12× 1000 + 7 × 100 + 5 × 10 + 2 = 12752 mm
Step 3 : Get the GCD of the two measurements by prime factorization.
12752 = 2 × 2 × 2 × 2 × 797
10524 = 2 × 2 × 3 × 877
The GCD = 2² = 4 mm
Step 4 : The answer.
The greatest length that can be contained exactly in the two measurements is 4 mm.
Answer:
Step-by-step explanation:
The greatest length that can be contained exactly in the two measurements is 4 mm.
Step 1 : Convert the measurements to the smallest units in the question.
The smallest unit is mm.
The conversions are as follows :
1 m = 1000 mm
1 cm = 10 mm
1 dm = 100 mm
Step 2 : Apply the conversions in the given measurements.
10m 5dm 2cm 4mm
10 × 1000 + 5 × 100 + 2 × 10 + 4 = 10524 mm
12m 7dm 5 cm 2mm
12× 1000 + 7 × 100 + 5 × 10 + 2 = 12752 mm
Step 3 : Get the GCD of the two measurements by prime factorization.
12752 = 2 × 2 × 2 × 2 × 797
10524 = 2 × 2 × 3 × 877
The GCD = 2² = 4 mm
Step 4 : The answer.
The greatest length that can be contained exactly in the two measurement is 4mm
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