I) Rounding Off to the Nearest Hundredth

I. ROUNDING

A) If the digit after round off place is 5 round off higher

B) If the digit is 5 round off lower

C) Approximate 15.392 by

i) Rounding off to the nearest hundredth

15.392 2 is < than 5, so it stays the same

Answer  15.39

ii) Rounding off to the nearest hundredth

15.392 9 is > than 5, so it rounds up

Answer  15.4

iii) Rounding off to the nearest hundredth

15.392 3 is < than 5, so it stays the same

Answer  15

II. CONVERTING FRACTIONS TO DECIMALS

(Anti-simplifying)

Recall: A decimal is a number that is in the 10th family

A)Converting:

i) Convert to a decimal

=.3

ii) Convert to a decimal

= .007

B)If denominator is already in the 10th family its easy. (A LOT OF TIMES) Sometimes fractions aren’t in the 10th family, but they can be invited to the family reunion.

C)Example: (not written in the 10th family, but it can be!)

D)Example:

=400  not in the 10th family

REMINDER: 10th family

10, 100, 1,00010,000100,000etc.

E)We have already converted fractions like to a decimal

i) =.23

F)Then we looked at fractions like . It isn’t written as someone in the 10th family, but we can get him invited by anti-simplifying.

i) Convert to a decimal by anti-simplifying

ii) Convert to a decimal by anti-simplifying

G)What about ? Can we get invited?

not going to happen if working with integers.

H)Don’t forget: Fractions correspond to DIVISION!!!! So we can get invited if we divide.

I)To convert a fraction to a decimal, just divide.

 so,

a.)Convert to a decimal.so,

b.)For example, For each of the following circle the decimal that best approximates the number.

a.)  .211.9144.194.75

b.) .439 .9451.063.37

is very close to 1, but under 1 for .945 is the best approximation.

c.)Arrange from smallest to largest

,, .268995, .273

.272727

.277777

.268995 

.273

Therefore answer is   .268995, , .273,