By rounding each number to the nearest whole number is 23.5
Given,
Estimate 38¼ - 14¾
and, by rounding each number to the nearest whole number.
Now, The solution is :
=38¼ - 14¾ = 153/4 - 59/4
=> 
=> 94/4
=> 23.5
Estimation a number to the nearest whole number:
To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If the digit is less than 5 (1, 2 , 3, 4) we don't have to do anything, but if the digit is 5 or greater (5,6,7,8,9) we must round up.
Hence, By rounding each number to the nearest whole number is 23.5
Learn more about Whole Numbers at:
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ANSWER
EXPLANATION
The given expression is
We multiply out to obtain,
Recall that,
We apply this rule to obtain,
This simplifies to
The perimeter of the shaded part is 3.93 cm.
Step-by-step explanation:
Step 1; The perimeter of a circle is calculated by multiply 2π with the radius. This given circle is not an entire circle. An entire circle has an angle if 360° while this has an angle of 50°. So we divide 360° with 50°.
Number of these shapes to form a full circle = 360° / 50° = 7.2. So 7.2 of these shapes will need to be combined to form a full circle. So we can calculate the perimeters of full circles and then divide it by 7.2 to get the parameters of the given sections.
Step 2; The parameter and circumference of a circle are equal. So
The perimeter of shaded region = Perimeter of the entire region - Perimeter of the unshaded region.
The Perimeter of circle with radius 8cm = 2π × 8 = 50.2654 cm.
The perimeter of the given shape = 
= 6.9813 cm
The perimeter of circle with radius, 3.5cm (8cm - 4.5cm) = 2π × 3.5 = 21.9911 cm,
The perimeter of unshaded region = 
= 3.0543 cm.
So the perimeter of shaded region = 6.9813 cm - 3.0543 cm = 3.927 cm.
Rounding 3.927 to 3 significant figures we get the perimeter of shaded region equal to 3.93 cm.
