There are four key topics in Unit 0:

- 0.1 Recognize place value and names for numbers
- 0.2 Perform operations with whole numbers
- 0.3 Round whole numbers and estimation with whole numbers
- 0.4 Solve application problems by adding, subtracting, multiplying, or dividing whole numbers

The key to this unit is understanding numbers. If you can put these numbers on a number line, then you already have a strong foundation.

\Large 0, -3, \frac{3}{2}, 4, 4.6, 4.09, -1.75(If you can divide 2,000 by 40 in your head, you are probably ready for Unit 1. If not, we are happy you can use these fun resources!!)

## Quick Walk down Number Lane (Unit 0.1)

These number names help us explain numbers like 330,000,050 (“330 million and 50”).

Each digit in the millions and thousands can be said on its own. 600,000 is “six hundred thousand”. 70,000 is “seventy thousand.” And, 8,000 is “eight thousand.”

You can click on this picture to have even more real-world numbers to practice. The U.S. population here is “three hundred thirty million, eighty-five thousand, and two hundred thirty seven.” How would you say the world population? How about Mexico’s population?

You can write any number in words, and should be able to write the number described in words.

## Rounding Numbers

The key idea is to move the number to the closest allowed number. For example, when rounding 584 to the nearest ten 580 is closer to 584 than 590, so we round to 580. If you needed to round 584 to the nearest hundred, then 600 is closer than 500.

This video has hysterical birds that flap but do not move. And it emphasizes this rounding idea using the term “midpoint”.

This Khan Academy video covers this ground well too. (#youcanlearnanything)

When you estimate with numbers, round them first then solve the problem. This will quickly give you an answer near the exact answer.

Rounding Numbers Practice

## Progress Check

**Practice: **This worksheet has addition of whole numbers, fractions and decimals. Click here when you are ready to check your answers.

## Problem Solving

These word-problem sequences give you immediate right/wrong feedback, and we will give you strategy feedback via email within 24 hours.

If it feels like you need more practice with these types of questions, we have hundreds of questions to support you. Let’s start with these questions to see where we are.

## Basic Geometry for Problem Solving

You will see some questions about solving for the area and perimeter of shapes. **Area** is the space a shape covers. **Perimeter** is the distance around. This short video explains this difference in an example.

Geometry-Based Questions