Find two numbers the quotient is in between then estimate the quote 90÷7
To find two numbers whose quotient is in between, we need to divide a larger number by a smaller number.
In this case, the larger number is 90 and the smaller number is 7.
To estimate the quotient of 90 ÷ 7, we can use long division method.
Here are the steps:
Step 1: Divide 9 by 7. The result is 1. Write it above the division line.
1
-------
7 ) 90
Step 2: Multiply the quotient (1) by the divisor (7). The result is 7. Write it below the 90.
1
-------
7 ) 90
7
Step 3: Subtract the result (7) from the dividend (90). The result is 83. Write it below the line.
1
-------
7 ) 90
- 7
------
83
Step 4: Bring down the next digit, which is 0. Write it next to the 83.
1
-------
7 ) 90
- 7
------
830
Step 5: Divide 83 by 7. The result is 11. Write it above the division line.
1
-------
7 ) 90
- 7
------
11
830
Step 6: Multiply the quotient (11) by the divisor (7). The result is 77. Write it below the 83.
1
-------
7 ) 90
- 7
------
11
77
830
Step 7: Subtract the result (77) from the remaining part of the dividend (83). The result is 53.
1
-------
7 ) 90
- 7
------
11
77
- 77
------
53
So, the quotient of 90 ÷ 7 is approximately 11.
To find two numbers where the quotient is in between, we can guess or estimate a couple of numbers that we believe the quotient lies between, and then divide to check if our estimate is correct.
Let's estimate the quotient for 90 ÷ 7:
Step 1: Estimate the numbers
Since 90 is greater than 7, we know that the quotient will be less than 90. To estimate a lower value, we can take 90 and divide it by a number slightly larger than 7.
If we divide 90 by 8, we get 11.25. So we can estimate that the quotient is greater than 11.
For an upper estimate, we can divide by a number slightly smaller than 7. If we divide 90 by 6, we get 15. Therefore, we can estimate that the quotient is less than 15.
So our estimated range is between 11 and 15.
Step 2: Calculate the quotient to verify the estimate
Let's divide 90 by 7 to check if the estimate is accurate:
90 ÷ 7 = 12.8571428571 (rounded to 10 decimal places)
The quotient is approximately 12.857.
Based on our estimate, which was between 11 and 15, the actual quotient of 12.857 falls within that range. Therefore, our estimate was accurate.
Therefore, the two numbers where the quotient is in between are 11 and 15, and the estimated quotient of 90 ÷ 7 is approximately 12.857.
7*12 = 84
7*13 = 91
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