Multiply Whole Numbers: 3+ Digits by 1-Digit
Multiplying a three or more digit number by a one digit number (579 x 4) is
the first step in multiple digit multiplication. Multiplication of
multiple-digit numbers often requires regrouping (carrying, trading, renaming).
Regrouping occurs when the product of the numbers in the ones or tens (for
larger numbers: hundreds, thousands, etc.) position are equal to or greater than
ten.
Tutorial
It may be beneficial to verify that the student is proficient in the
multiplication table. Once the table has been mastered, help him/her understand
the concept of regrouping (carrying). The following is a step-by-step
explanation of a multiplication problem that involves regrouping.
Solve: 579 x 4 = ?
Step 1: Rewrite horizontal problems vertically.
Step 2: Multiply (9 x 4). The product is 36. Place the 6 below the 4 and regroup
(carry) the 3 over the next column.
Step 3: Multiply (4 x 7). The product is 28. Add the 3 from the first product to
the 28. The total is 31. Place the 1 below the 7 and regroup the 3 to the next
column.
Step 4: Repeat step 3 by multiplying the 4 by the 5 and adding the 3 regrouped
from the previous product. Since there are no more columns, place the entire 23
below the line.
The answer is 2316.
Multiply Whole Numbers: 3+ Digits
by 1-Digit
The following question is a sample of how many tests assess this
particular learning objective. You may want to have your child answer this
question or develop similar questions on your own.
5,820 X 6 =
A. 34,920
B. 30,820
C. 34,820
D. 30,920
The correct answer is A
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Revised: January 19, 2003
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