without doing the computation, explain why or why not 19.7 is a reasonable value for the expression 122.14 divided by 6.2
120 / 6 = 20
Yes! It is a reasonable value, because if you actually do the division it is equivalent to 19.7! But without doing the division you can find out that this is a reasonable response bc when you do simple division of 122 and 6 is about 20! Which is egg 19.7 is a reasonable value
what the answer!
To determine whether 19.7 is a reasonable value for the expression 122.14 divided by 6.2 without actually computing it, we can use some estimation techniques.
1. Rounding: First, we can round both 122.14 and 6.2 to the nearest whole numbers, which are 122 and 6. Now, we can perform the division mentally by considering the rounded values. When 122 is divided by 6, we get approximately 20. So, the result 19.7 seems to be in the expected range.
2. Magnitude comparison: We can compare the magnitudes of the divisor (6.2) and the dividend (122.14). Since the divisor is smaller than the dividend, we would expect the quotient (result of division) to be greater than 1. In this case, 19.7 is greater than 1, which aligns with our expectation.
3. Reasonability check: We can also consider the context of the problem. If 122.14 represents a quantity that needs to be divided equally into 6.2 parts, then it is reasonable to expect the quotient to be larger than 1. Additionally, if we estimate that 122 divided by 6 is around 20, then a value slightly lower than that, like 19.7, seems reasonable because 6.2 is slightly larger than 6.
Considering these estimation techniques, 19.7 appears to be a reasonable value for the expression 122.14 divided by 6.2.