Round 7.358 to the nearest hundreths

7.36

Step-by-step explanation:

7.358

7 is in the units or ones place, 3 is in the tenths spot, 5 is in the hundredths spot, and 8 is in the thousandths spot.

Since we are rounding to the nearest hundreths, we are rounding to the hundredths spot (the place where the 5 currently is sitting).

When rounding, we know that if a number is 5 or greater, we round up. Ex: Round 59 to the nearest tens place. Since 9 is greater than 5, we would round up. Thus, 59 would round up to 60.

In this example, we are rounding up decimal places. When we round up, we always round to the left. In this example, we are rounding up.

So taking a look at this number, we are rounding to the hundredths place. The number 5 currently sits in the hundredths place. The number to the right of it is 8 (in the thousandths spot). 8 is greater than 5 so we round up. Thus 7.358 rounded to the hundredths place is 7.36.

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2