# Rounding Significant Figures

"Math Salamanders Free Math Sheets"

Welcome to the Math Salamanders Rounding Significant Figures collection.

Here you will find a selection of free printable rounding Worksheets, which will help your child learn to round numbers to either 1, 2 or 3 significant figures.

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Rounding Significant Figures Information

How is it different from Rounding to decimal places?

Rounding numbers to 1 significant figure (1SF)

When you are rounding a number to 1 significant figures, you are trying to reduce the number to a single digit and zeros (and possibly a decimal point) to indicate its place value.

How to round a number to 1 significant figure

Look at the 2nd significant digit that the number has.

In a decimal, the first significant digit is the first non-zero digit. The 2nd significant digit is the digit after the first.

• if it is less than 5 then round the number down by removing the rest of the number after the 1st significant digit and filling in with zeros;
• if it is 5 or more then round the number up by adding one on to the 1st digit and removing the rest of the number and filling in with zeros.

Examples

• 8726 rounds up to 9000, because the 2nd significant digit is a 7.
• 73.283 rounds down to 70 because the 2nd significant digit is a 3.
• 152 rounds up to 200 because the 2nd significant digit is a 5.
• 0.003826 rounds up to 0.004 because the 2nd significant digit is an 8.
• 0.60828 rounds down to 0.6 because the 2nd significant digit is a 0.

Rounding numbers to 2 significant figures (2sf)

When you are rounding a number to 2 significant figures, you are trying to reduce the number to a two digits and zeros (and possibly a decimal point) to indicate its place value.

How to round a number to 2 significant figures

Look at the 3rd significant digit that the number has.

This is the digit which is two digits after the most significant digit.

• if it is less than 5 then round the number down by removing the rest of the number after the 2nd significant digit and filling in with zeros;
• if it is 5 or more then round the number up by adding one on to the 2nd significant digit and removing the rest of the number and filling in with zeros.

Examples

• 5271 rounds up to 5300, because the 3rd significant digit is a 7.
• 73.483 rounds down to 73 because the 3rd significant digit is a 4.
• 175 rounds up to 180 because the 3rd significant digit is a 5.
• 0.003826 rounds down to 0.0038 because the 3rd significant digit is a 2.
• 0.60828 rounds up to 0.61 because the 3rd significant digit is an 8.

Rounding to 3 significant figures (3sf)

When you are rounding a number to 3 significant figures, you are trying to reduce the number to a 3 digits and zeros (and possibly a decimal point) to indicate its place value.

How to round a number to 3 significant figures

Look at the 4th significant digit that the number has.

• if it is less than 5 then round the number down by removing the rest of the number after the 3rd significant digit and filling in with zeros;
• if it is 5 or more then round the number up by adding one on to the 3rd significant digit and removing the rest of the number and filling in with zeros.

Examples

• 5261 rounds down to 5260, because the 4th significant digit is a 1.
• 73.285 rounds up to 73.3 because the 4th significant digit is an 8.
• 1805 rounds up to 1810 because the 4th significant digit is a 5.
• 0.003826 rounds up to 0.00383 because the 4th significant digit is a 6.
• 0.07284 rounds down to 0.0728 because the 4th significant digit is a 4.

Rounding Significant Figures Worksheets

Rounding Significant Figures Worksheets to 1sf

Rounding Significant Figures Worksheets to 2sf

Rounding Significant Figures Worksheets to 1sf & 2sf

Rounding Significant Figures Worksheets to 1sf & 2sf & 3sf

Looking for something easier?

Online Rounding Practice Zone

Rounding Challenges to the nearest 10, 100 or 1000

Rounding Decimals Challenges

Decimal Place Value Worksheets

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