Estimation simply means an approximated value.
- <em>Estimation gives the range of the first digit of the quotient</em>
- <em>Multiplication is the inverse of division.</em>
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<u>Estimation in whole-number quotient</u>
A whole number quotient is represented as:
Where:
<em /><em> whole numbers</em>
When the numbers are estimated, one would get the idea of the range of values the first digit can assume.
<u>Take for instance:</u>
117 can be estimated as 120. So, we have:
<em>120 divided by 3 is 40.</em>
The first digit of <em>120 divided by 3 </em>is 4.
So, estimating 117 as 120 makes us know that the first digit of <em>117 divided by 3 </em>would either be 4 or less.
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<u>(b) Multiplication in division problem</u>
Multiplication and division are both inverse operations.
So, multiplication is used to check the dividend of the division problem.
Take for instance:
<em>If the above division is correct, then 39 multiplied by 3 must be 117 i.e.</em>
Start by dividing the first 6 by 3
Divide the next 6 by 3
Divide the last 3 by 3
Divide 4 by 8
Since the result is 0 and 4 is not the last digit, we then try 48.
Divide 48 by 8
Divide 7 by 8.
7 is less than 8; this means that 8 cannot divide 7.
So, we write 7 as the remainder
Remove the leading 0
Divide 1 by 4
Divide 16 by 4
Divide 4 by 4
Divide 1 by 4
1 is less than 4; this means that 8 cannot divide 1.
So, we write 1 as the remainder
Remove the leading 0
Divide 2 by 9
Divide 27 by 9
Divide 6 by 9
6 is less than 9; this means that 9 cannot divide 6.
So, the next division will be 65 by 9
9 divides 63 in 7 places, with a remainder of 2.
So, we have:
Remove the leading 0
Read more about division and multiplications at:
brainly.com/question/19928607