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Numbers & Operations in Base Ten: Multi-Digit Multiplication CCSS 4.NBT.5 Facts & Worksheets

Multiplying a large number up to the thousands place can be very threatening. As long as you know your multiplication table and the strategies of multiplying 10, 100, and 1000, you can easily apply it to any multiplication problem.

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Worksheets /Math /Grade 4 (ages 9-10) /Numbers & Operations in Base Ten: Multi-Digit Multiplication CCSS 4.NBT.5 Facts & Worksheets

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Numbers & Operations in Base Ten Multi-Digit Multiplication CCSS 4.NBT.5
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Multiplying a large number up to the thousands place can be very threatening. As long as you know your multiplication table and the strategies of multiplying 10, 100, and 1000, you can easily apply it to any multiplication problem.

See the fact file below for more information on the multi-Digit multiplication or alternatively, you can download our 27-page Numbers & Operations in Base Ten: Multi-Digit Multiplication CCSS 4.NBT.5 worksheet pack to utilise within the classroom or home environment.

Key Facts & Information

LEARNING OBJECTIVE:

  • At the end of the lesson, the student will learn how to multiply a whole number of up to four digits by a one-digit whole number and multiply two two-digit numbers, using strategies based on place value and the properties of operations.

A NOTE FOR THE TEACHER:

  • When multiplying multi-digit numbers, take note of the following:
    • Be mindful of the place values of the number.
    • Review the basic multiplication table.
    • Decompose the large number into place values for easier multiplication.
    • Drawing an area model is the easiest way to illustrate a multiplication problem.

THEORY:

  • Multiplying a large number up to the thousands place can be very threatening. As long as you know your multiplication table and the strategies of multiplying 10, 100, and 1000, you can easily apply it to any multiplication problem.
  • The easiest way to understand how to multiply multi-digit numbers by 1-digit numbers is by drawing an area model. The area is found by multiplying one the length and the width of a rectangle.
  • Consider 1345 x 4: The first thing to do is to decompose the larger number into place values.
  • Thus, 1345 = 1000 + 300 + 40 + 5
  • Now that we have the decomposed numbers, we can draw a rectangle:

  • A+B+C+D = 1345 = 1000 + 300 + 40 + 5
  • The length of the rectangle is 1345, and the width is 4.
  • Now, we can partially get the values of the smaller rectangles:

  • Adding partial products together means getting the whole product.
  • 4000 + 1200 + 160 + 20 = 5380 = 1345 x 4
  • This is similar to distributing the multiplier to each place value:
  • 4 x (1000+300+40+5) = (4×1000) + (4×300) + (4×40) + (4×5)
  • This strategy can also be applied by multiplying 2 two-digit numbers.
  • Consider 34 x 21:
    • First, decompose the two numbers into place values.
    • It will be decomposed into (30 + 4) x (20 + 1)
    • Now, draw the rectangle. Instead of having only 1 row, the rectangle will be divided into a 2×2 table.

  • Now, we multiply by for the smaller rectangles.

  • Adding partial products together means getting the whole product.
  • 600 + 80 + 30 + 4 = 714 = 34 x 21
  • This is similar to distributing the multiplier to each place value:
  • (30 + 4) x (20 + 1) = (30 x 20) + (30 x 1) + (4 x 20) + (4 x 1)

Numbers & Operations in Base Ten: Multi-Digit Multiplication CCSS 4.NBT.5 Worksheets

This is a fantastic bundle that includes everything you need to know about Numbers & Operations in Base Ten: Multi-Digit Multiplication across 27 in-depth pages. These are ready-to-use worksheets that align with the Common Core CCSS code 4.NBT.5 for Numbers & Operations in Base Ten: Multi-Digit Multiplication.

Table of contents:

  • A lesson plan
  • Warm-up activity
  • Math theory explained
  • Assisted learning activities
  • Independent learning activities
  • Extension activities and games
  • Answer keys

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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.

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