All powers of ten worksheets available on this page are free, and they include answer keys. The powers of ten worksheets on this page are suitable for assessment of curriculum expectations, algorithm study/practice, mental math practice, and manipulative activities. Understanding how to multiply by powers of ten is one of those essential skills that students can't do without. It makes it WAY easier to use estimation skills, it is essential in learning large and small numbers, and solidifies their understanding of place value and numbers in general.

Positive powers of ten in the titles below refer to 10, 100, 1,000, 10,000, etc. Negative powers of ten refer to 0.1, 0.01, 0.001, 0.0001, etc. 100 is equal to 1, so multiplying or dividing by it does not change a number.

Multiplying Whole Numbers by Powers of Ten Worksheets

This is a good place to start with learning the powers of ten. Multiplying by positive powers of ten always makes a number larger in absolute value. Conversely, multiplying by negative powers of ten always makes a number smaller. Multiplying by 100 results in the same number.

Whole Number x All Powers of Ten A B C D E
Whole Number ÷ All Powers of Ten A B C D E
Whole Number x Positive Powers of Ten A B C D E
Whole Number ÷ Positive Powers of Ten A B C D E
Whole Number x Negative Powers of Ten A B C D E
Whole Number ÷ Negative Powers of Ten A B C D E
Whole Number x 1/10³ (0.001) A B C D E
Whole Number ÷ 1/10³ (0.001) A B C D E
Whole Number x 1/10² (0.01) A B C D E
Whole Number ÷ 1/10² (0.01) A B C D E
Whole Number x 1/10¹ (0.1) A B C D E
Whole Number ÷ 1/10¹ (0.1) A B C D E
Whole Number x 10¹ (10) A B C D E
Whole Number ÷ 10¹ (10) A B C D E
Whole Number x 10² (100) A B C D E
Whole Number ÷ 10² (100) A B C D E
Whole Number x 10³ (1000) A B C D E
Whole Number ÷ 10³ (1000) A B C D E

Dividing Whole Numbers by Powers of Ten Worksheets

Learning to Multiply Whole Numbers by Powers of Ten Worksheets

The intention of the worksheets in this section is to teach the patterns associated with multiplying by powers of ten. The worksheets include the same number multiplied by the positive or negative powers of ten. The powers of ten are currently in the standard/decimal form only.

One-Digit x Positive Powers of Ten (Whole Number Products) A B C D E
Two-Digit x Positive Powers of Ten (Whole Number Products) A B C D E
One-Digit x Negative Powers of Ten (Decimal Products) A B C D E
Two-Digit x Negative Powers of Ten (Decimal Products) A B C D E
Whole Number x Negative Powers of Ten (Whole Number Products) A B C D E
One-Digit x Multiples of Positive Powers of Ten (Whole Number Products) A B C D E
Two-Digit x Multiples of Positive Powers of Ten (Whole Number Products) A B C D E
One-Digit x Multiples of Negative Powers of Ten (Decimal Products) A B C D E
Two-Digit x Multiples of Negative Powers of Ten (Decimal Products) A B C D E
Whole Number x Multiples of Negative Powers of Ten (Whole Number Products) A B C D E

Learning to Divide Whole Numbers by Powers of Ten Worksheets

The intention of the worksheets in this section is to teach the patterns associated with dividing by powers of ten. The worksheets include the same number divided by the positive or negative powers of ten. The powers of ten are currently in the standard/decimal form only.

One-Digit ÷ Positive Powers of Ten (Decimal Quotients) A B C D E
Two-Digit ÷ Positive Powers of Ten (Decimal Quotients) A B C D E
Whole Number ÷ Positive Powers of Ten (Whole Number Quotients) A B C D E
One-Digit ÷ Negative Powers of Ten A B C D E
Two-Digit ÷ Negative Powers of Ten A B C D E
One-Digit ÷ Multiples of Positive Powers of Ten (Decimal Quotient) A B C D E
Two-Digit ÷ Multiples of Positive Powers of Ten (Decimal Quotient) A B C D E
Whole Number ÷ Multiples of Positive Powers of Ten (Whole Number Quotient) A B C D E
One-Digit ÷ Multiples of Negative Powers of Ten A B C D E
Two-Digit ÷ Multiples of Negative Powers of Ten A B C D E

Multiplying Decimal Numbers by Powers of Ten Worksheets

Decimal x 10 (horizontal; 45 per page) A B C D E
Decimal x 100 (horizontal; 45 per page) A B C D E
Decimal x 1000 (horizontal; 45 per page) A B C D E
Decimal x 0.1 (horizontal; 45 per page) A B C D E
Decimal x 0.01 (horizontal; 45 per page) A B C D E
Decimal x 0.001 (horizontal; 45 per page) A B C D E
Decimal x 10, 100, or 1000 (horizontal; 45 per page) A B C D E
Decimal x 0.1, 0.01, or 0.001 (horizontal; 45 per page) A B C D E
Decimal x Powers of Ten 0.001 to 1000 (horizontal; 45 per page) A B C D E

Dividing Decimal Numbers by Powers of Ten Worksheets

Decimal ÷ 10 (horizontal; 45 per page) A B C D E
Decimal ÷ 100 (horizontal; 45 per page) A B C D E
Decimal ÷ 1000 (horizontal; 45 per page) A B C D E
Decimal ÷ 0.1 (horizontal; 45 per page) A B C D E
Decimal ÷ 0.01 (horizontal; 45 per page) A B C D E
Decimal ÷ 0.001 (horizontal; 45 per page) A B C D E
Decimal ÷ 10, 100, or 1000 (horizontal; 45 per page) A B C D E
Decimal ÷ 0.1, 0.01, or 0.001 (horizontal; 45 per page) A B C D E
Decimal ÷ Powers of Ten 0.001 to 1000 (horizontal; 45 per page) A B C D E