CBSE Class 6 Answered
Multiply 60 x 100. Then, multiply 30 x 20. Explain the relationship using the prime factorizations of each number.
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
Expert Answer
60 x 100 = 6000.
30 x 20 = 600, which is one-tenth of the first product.
60 = 2 x 2 x 3 x 5, and 100 is 2 x 2 x 5 x 5. So there are four 2's, one 3, and three 5's in the factor list of 6000.
30 = 2 x 3 x 5, and 20 is 2 x 2 x 5. So there are three 2's, one 3, and two 5's in the factor list of 600.
If we "subtract" the second list from the first, we end up with one 2 and one 5, which multiply to give 10, making the second product one tenth of the first.
30 x 20 = 600, which is one-tenth of the first product.
60 = 2 x 2 x 3 x 5, and 100 is 2 x 2 x 5 x 5. So there are four 2's, one 3, and three 5's in the factor list of 6000.
30 = 2 x 3 x 5, and 20 is 2 x 2 x 5. So there are three 2's, one 3, and two 5's in the factor list of 600.
If we "subtract" the second list from the first, we end up with one 2 and one 5, which multiply to give 10, making the second product one tenth of the first.
Answered by | 04 Jun, 2014, 03:23: PM
Concept Videos
-
Prime Factorisation
Prime numbers, meaning of factors of a number, prime factors of a number, w...
CBSE 6 - Maths
Asked by lokeshbhoye48 | 04 Aug, 2023, 07:28: PM
ANSWERED BY EXPERTCBSE 6 - Maths
Asked by piyushgariya65.6cpsb | 04 Jun, 2021, 12:52: PM
ANSWERED BY EXPERTCBSE 6 - Maths
Asked by anshuxboy | 26 Sep, 2020, 08:10: PM
ANSWERED BY EXPERTCBSE 6 - Maths
Asked by neetuverma4310 | 28 Jul, 2020, 08:12: PM
ANSWERED BY EXPERTCBSE 6 - Maths
Asked by koushikpattan28jhs.tl | 15 Jun, 2020, 09:05: PM
ANSWERED BY EXPERTCBSE 6 - Maths
Asked by Ashishshukla.dfs1 | 09 Jun, 2020, 10:48: AM
ANSWERED BY EXPERTCBSE 6 - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERTCBSE 6 - Maths
Asked by Topperlearning User | 28 Jul, 2016, 11:00: AM
ANSWERED BY EXPERTCBSE 6 - Maths
Asked by Topperlearning User | 04 Jun, 2014, 01:23: PM
ANSWERED BY EXPERT
