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Multiplying Digits with 5 and 10 Up to 999

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3rd Grade Math
1. 3.OA.A.1
1.1 Multiplying Digits with 5 and 10 Up to 999

Multiplying Digits with 5 and 10 Up to 999

Spot the place value shift when multiplying by 10 and the skip counting shortcut for multiplying by 5, with examples up to 999.


What You'll Learn

Recognize that multiplying any whole number by 10 shifts every digit one place value to the left, so \( 47 \times 10 = 470 \).
Apply the "add a zero" shortcut to multiply two- and three-digit numbers by 10 quickly.
Use skip counting by fives to multiply by 5, since \( n \times 5 \) is the nth term in the 5, 10, 15, 20 pattern.
Connect the two facts by noticing \( n \times 5 \) is always half of \( n \times 10 \).
Check answers by looking at the last digit, since any number times 5 ends in 0 or 5, and any number times 10 ends in 0.
Solve real-world word problems that ask for totals in groups of 5 or groups of 10 up to 999.

What You'll Practice

1

Multiplying two-digit numbers by 5 and 10

2

Multiplying three-digit numbers by 5 and 10

3

Counting columns or groups to solve multiplication problems

Why This Matters

Multiplying by 5 and 10 builds your mental math speed and strengthens place value skills you'll use daily. These patterns appear everywhere from calculating money and time to measuring quantities, making them essential building blocks for more complex multiplication and division.

This Unit Includes

Practice exercises
Learning resources

Skills

Multiplication
Place Value
Mental Math
Skip Counting
Number Patterns
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