Week 8 - Decimals

Question 1

Rational Number System

Rational number

Answer 1

Any rational number is a quotient, or ratio of two integers

p/q where p and q are integers and q doesn’t equal a common fraction

p divided by q = decimal fraction

Question 2

3 types of decimals

Answer 2

Terminating decimals
E.g. 0.50000000…

Periodic non-terminating or repeating decimals
E.g. 1/3 = 0.333333…

Infinite with no discernible pattern
E.g. Pi: 3.141592653589793…

Question 3

Repeating decimals are also known as…

Answer 3

Common fractions
E.g. 1/3, 1/4, 1/2

Question 4

Decimal System

Position of numbers

Answer 4

• Positions to the right of the ones are separated from the units by a decimal point
• A digit’s decimal place is its position on the right-hand side of the decimal point

Question 5

Decimals

Powers of 10 (left or right of decimal point)

Answer 5

Digits to left of the decimal point represent place values that are increasing powers of ten.

The digits to the right represent place values that are decreasing powers of ten

Question 6

Decimal Fraction

Answer 6

• a fraction written as a decimal.
• a decimal point separates whole numbers from decimal fractions,
  for example, one and a half = 1.5

E.g. 1/2 = 5/10 = 0.5

Question 7

Non-Terminating decimal fractions

Answer 7

A non-terminating (never-ending) decimal with
no repeating digits or patterns of digits.

Question 8

Decimal period

Answer 8

The minimum number of digits that repeats in such a number

Question 9

How can we model decimals

Answer 9

Place value charts

Base 10 materials

Square grids

Link to fractions

Number lines - measurement

Money