Place Value 10 Times Greater Worksheets
The concept of place relationships is often challenging for teachers when they first begin teaching. We often come across this topic very early in the curriculum because it is a topic that spirals not only over the course of a school year, but over the course of all levels of education. It is often the most helpful to break out the base ten blocks to help students understand the difference between each place. The visual and hands-on approach has always been successful for me. On this topic we provide you with a selection of lessons that follow right along and a team of worksheets that helps reinforce all the major points that you will want students to focus on.
Aligned Standard: Grade 5 Base Ten - 5.NBT.1
- Expanded Form Step-by-step Lesson- Convert an expanded number to a standard number.
- Guided Lesson - Find out how good you are with jumping around the place values in this one.
- Guided Lesson Explanation - I find that putting the value under each number always helps students grasp the concept quickly.
- Practice Worksheet - A random place value marathon and obstacle course in one.
- Matching Worksheet - Which number make the place values fit? A little easy, but it's a great starting point.
- Answer Keys - These are for all the unlocked materials above.
Condense all the place values to move from expanded to standard number form.
- Homework 1 - Put all those place values together and find a final sum.
- Homework 2 - Which digit is in the hundreds' place, 455.232?
- Homework 3 - What is the place value of the underlined digit?
I do go a bit rogue with the decimal place values. This carries over to another skill.
- Practice 1 - We put it all together. This covers most of the skills we have seen in this topic.
- Practice 2 - Have another go at it. Make sure to note the exact underline in this one.
- Practice 3 - Get after those underlines. There are several found on this worksheet.
Math Skill Quizzes
If the directions aren't clear enough, you can just circle the place values they are looking for.
- Quiz 1 - Review everything to the best of your ability.
- Quiz 2 - We flip back and forth between the primary skills here.
- Quiz 3 - Do not let the decimal point in here cloud up your judgement.
How to Compare the Place Values between Two Numbers
We use what is called the base ten number system. This means that when you have a value that is composed of two or more successive digits, the digit to the left of the other is ten times greater. It also means that the digit to the right of the other is ten times less. When we are evaluating all these positions, we refer to each digit location as place value.
When studying number systems, the concept of place values is the most important ones. Grabbing the concept of place values firmly helps makes mathematical problems easy and less of a challenge. Each number is comprised of different digits and each of these digits holds a unique value. When we understand place values, we can determine the value of the number, compare two number systems, solve word problems, and round off numbers.
When you need to compare the significance of two digits in the same number or between multiple numbers you first step is to locate the place value that this digit represents in the entire number. This requires that you learn the sequence of common place values such as: thousands - hundreds - tens - ones.
Place values play a significant role in comparing two multi-digit numbers. To understand place values let us consider two values: 857 and 45,986. Both these numbers include the number five but the value of each of these 5s is different. Here is a comparison of these two numbers based on their place values.
The 5 you see in 857 holds a tens value, which means it is adding 5 tens in the number, representing 50. The 5 you see in 45,986 holds the thousands value, which means it is 5 thousands in the number, representing 5,000. The same digits will have a unique value in two different number systems.