Answer :
Euclid's division lemma is useful for checking the division of two numbers. To check her answer Keira can used Euclid's division lemma.
What is Euclid's division lemma?
Euclid's division lemma states that for two positive integers c and d there exist unique integers a and b such that d = ac + b.
It can be used to find the HCF of two numbers.
Given that,
The number divided by Keira, Dividend = 123.52
The number used for division, Devisor = 3.2
The product of division which is called Quotient = 38.6
Remainder is not given, it is taken as 0.
In order to check the calculation without a calculator, Euclid's division lemma has to be used,
According to Euclid's division lemma,
Dividend = Devisor × Quotient + Remainder
Substitute all the values to get,
123.52 = 3.2 × 38.6 + 0
The RHS of the above equation is,
3.2 × 38.6 = 123.52
Thus, the Euclid's lemma is true for the given calculation.
Hence the given calculation is proved true by Euclid's division lemma.
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Answer:
Keira could use estimation to check her answer. 123.52 is about 120 and 3.2 is about 3. And 120 divided by 3 is 40. This is close to her answer, so it is reasonable.
Step-by-step explanation:
