MATH: Understanding Place Value and Decimals for Praxis 7813

Place Value

Value determined by a digit's position in a number.

Multidigit Numbers

Numbers with more than one digit.

Decimal Numbers

Numbers containing a decimal point.

Rounding

Adjusting a number to a specified place value.

Composing Numbers

Creating larger numbers from smaller units.

Decomposing Numbers

Breaking down larger numbers into smaller parts.

Base 10 System

Numerical system using powers of ten.

Moving Decimal Left

Dividing by 10 to create a smaller number.

Moving Decimal Right

Multiplying by 10 to create a larger number.

Place Value Chart

Visual representation of digit values in a number.

Tenths

First place to the right of the decimal.

Hundredths

Second place to the right of the decimal.

Thousandths

Third place to the right of the decimal.

Example Number

2,487,905.631 is a complex number example.

Value of 4 in 42,103.68

4 is 1,000 times larger than 0.

Rounding Rule 0-4

Keep the place value the same.

Rounding Rule 5-9

Increase the place value by 1.

Example of Rounding

507,291 rounded to nearest ten-thousands is 510,000.

Problem-Solving Strategy

Approach to tackle mathematical problems effectively.

Drawing a Picture

Visual method to understand and solve problems.

Finding a Pattern

Identifying regularities to solve problems.

Guess and Check

Testing possible solutions to find the correct one.

Working Backwards

Starting from the solution to find the starting point.

Estimating

Making an educated guess about a number.