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In this lesson, we will apply our knowledge about place values and properties to add and subtract numbers under 1000 and to multiply one-digit whole numbers with multiples of 10.
See the fact file below for more information on the Place Value and Properties In Multi-Digit Arithmetic or alternatively, you can download our 29-page Place Value and Properties In Multi-Digit Arithmetic worksheet pack to utilise within the classroom or home environment.
Key Facts & Information
PLACE VALUE PARTIAL SUMS
- One way to solve for the sum of two large numbers is to use partial sums.
- In this section, we will try to understand how place value partial sums work.
- Place value partial sums is a method of breaking down numbers into expanded form and adding them like place values.
- Let’s use the addition equation provided below.
- How do we expand numbers?
- 700 + 20 + 9
- 200 + 40 + 3
- Note that we already have numbers holding the hundreds place value, tens place value, and ones place value. We can now add them by place values.
- 700 + 200 = 900
- 20 + 40 = 60
- 9 + 3 = 12
- Now, we already have the partial sums (900, 60, 12).
- Next, we will add the partial sums. These numbers are easier to add since they are relatively smaller and contain more zeroes, which means that we do not have to take many extra steps.
- 900 + 60 + 12 = 972
- Therefore, the sum of the equation is 972.
ADDITION AND SUBTRACTION
- We know that addition and subtraction are closely linked together.
- With this knowledge, we can solve subtraction problems using addition.
- 972 – 243 = ?
- What if you already know in your mind that 243 plus 729 is equal to 972?
- If you already know that, then you can easily deduce that 972 minus 243 is equal to 729.
- 972 – 243 = 729
ONE-DIGIT NUMBER TIMES MULTIPLES OF TEN
- Multiplying a one-digit number with a multiple of ten is easy if you break down the steps into two steps.
- The first step is to multiply the one-digit number with the leftmost digit in the multiple of ten.
- 7 x 70 = ?
- From the equation above, we need to multiply 7 and 7.
- 7 x 7 = 49
- Now that we have the product of 7 and 7, we will proceed to the second step.
- The second step is to multiply 49 with 10.
- (7 x 7) x 10 = ?
- To have a better understanding, we expanded the original equation.
- We already have the product of 7 and 7, which is why we need to find the product of 49 and 10.
- 49 x 10 = 490
- Therefore, the answer to the original equation is 490.
- 7 x 70 = 490
- We can also use another method of breaking down.
- 7 x (40 + 30) = ?
- Now, we can apply the distributive property of multiplication.
- (7 x 40) + (7 x 30) = ?
- We just need to apply the earlier steps.
- 7 x 40 = 280
- 7 x 30 = 210
- Then, we can just add the products we found, which will give us 490.
- (7 x 40) + (7 x 30) = 490
Place Value and Properties In Multi-Digit Arithmetic Worksheets
This is a fantastic bundle which includes everything you need to know about the Place Value and Properties In Multi-Digit Arithmetic across 29 in-depth pages. These are ready-to-use Place Value and Properties In Multi-Digit Arithmetic worksheets that are perfect for teaching students about the place values and properties to add and subtract numbers under 1000 and to multiply one-digit whole numbers with multiples of 10.
Complete List Of Included Worksheets
- Lesson Plan
- Place Value and Properties In Multi-Digit Arithmetic
- The Tens
- Find The Sum
- The Blanks
- What Is It?
- Write The Equation
- Form The Addition
- Give and Take
- Jacob’s Homework
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Link will appear as Place Value and Properties In Multi-Digit Arithmetic Facts & Worksheets: https://kidskonnect.com - KidsKonnect, May 29, 2020
Use With Any Curriculum
These worksheets have been specifically designed for use with any international curriculum. You can use these worksheets as-is, or edit them using Google Slides to make them more specific to your own student ability levels and curriculum standards.