The symbol which correctly compares the numbers is <, i.e less than.
Given the expression is ∛27 = 21/5
Mathematicians refer to the process or method of comparing numbers as a way of figuring out if one number is less than, equal to, or higher than another one given their values.
first get the values of the numbers
∛27 = 3×3×3 = 27
hence we get it as 3
now for 21/5 = 4.2
hence the second value is greater than the first value and but as the expression says the first value is less than the second value.
Hence the correct expression is:
3<4.2
Therefore, the symbol which compares the correct form of expression is < that is less than.
Learn more about Comparing expressions here:
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Steps involved in finding square root using division method:
- Group the digits of the number in pairs. You will start pairing from the decimal point and move away from the decimal point. E.g. for 201.64, first pair would be 2, second would be 01, and third would be 64 (see the attachment for visualizing)
- Now start with the first pair, and find the number whose square is equal to or just less than the first pair. So here, since first pair is 2, that number whose square is just less than or equal to 2 is 1. Now divide 2 by 1 , and also put 1 in the quotient.
- After this step, you will have 1 in quotient, and 1 in divisor with remainder of 2 - 1 = 1. Now bring down the next pair to join with the remainder. The resulting number now is 101
- Now, double the number that is there in the quotient (so 1 becomes 2) and use it to determine the new divisor for 101. The new divisor will be such that when the divisor is multiplied with its unit digit then the product is just less than or equal to 101 (i.e. 2x * x <= 101). So for x = 4, 24 *4 = 96, which is less than 101. Now append this 4 in the quotient. The quotient now become 14. And subtract 96 from 101 to find the remainder. The remainder now is 5
- We have now reached the decimal point in the dividend, so add a decimal point in the quotient
- Now bring down the next pair to join with the remainder. The resulting number now is 564
- Now, double the number that is there in the quotient (so 14 becomes 28) and use it to determine the new divisor for 564. The new divisor will be such that when the divisor is multiplied with its unit digit then the product is just less than or equal to 564 (i.e. 28x * x <= 564). So for x = 2, 282 *2 = 564. Now append this 2 in the quotient. The quotient now become 14.2. And subtract 564 from 564 to find the remainder. The remainder now is 0. Hence, we have completed the problem, and we have the square root with us
- The square root is the quotient obtained: 14.2
Please refer to the attached image to see how the calculations are done
When you multiply any number by one, it equals that number.
So 3 x 1 = 3.
She went over by 1/6 of a cup because 64 is half of 128 and 2/3 is greater then 1/2
First, coordinate Q is (-5,2) and Q' is (6,2). First, we know that this is a horizontal reflection becuase only the x-values change. This means that the line of reflection will be x=some value. I think the best way to go about this is to find the midpoint of Q and Q' using the formula: M=(x1+x2/2,y1+y2/2)
Q is the first point and Q' is the second point
M=(-5+6/2,2+2/2)
M=(1/2,4/2)
M=(1/2,2)
Since we know the y-values of Q, Q', and the midpoints are all 2, then the line of reflection would be x=1/2
Hope this helps