Rounding worksheet

1. Rounded value: 1,700

1. The first digit that isn't zero is in the 10^3 place. To keep 3 significant figures, count in steps of 10^1

   $\mathrm{unit}$$={10}^1$$=10$

2. Divide your number by the unit to see how many units fit in it

   $\frac{\mathrm{1,700}}{10}$$=170$

3. Half up: go to the nearest whole number of units. If it's exactly halfway, go away from zero

   $170\to 170$

4. Multiply the rounded count by the unit to turn it back into a number: that's your rounded value

   $170\times 10$$=\mathrm{1,700}$

2. Rounded value: 950

1. The first digit that isn't zero is in the 10^2 place. To keep 2 significant figures, count in steps of 10^1

   $\mathrm{unit}$$={10}^1$$=10$

2. Divide your number by the unit to see how many units fit in it

   $\frac{950}{10}$$=95$

3. Half to even: go to the nearest whole number of units. If it's exactly halfway, pick the even one, so ties don't all lean the same way

   $95\to 95$

4. Multiply the rounded count by the unit to turn it back into a number: that's your rounded value

   $95\times 10$$=950$

3. Rounded value: 1,100

1. Rounding to 2 decimal places means counting in steps of 0.01, so that step is the unit

   $\mathrm{unit}$$={10}^{\mathrm{-2}}$$=0.01$

2. Divide your number by the unit to see how many units fit in it

   $\frac{\mathrm{1,100}}{0.01}$$=\mathrm{110,000}$

3. Half up: go to the nearest whole number of units. If it's exactly halfway, go away from zero

   $\mathrm{110,000}\to \mathrm{110,000}$

4. Multiply the rounded count by the unit to turn it back into a number: that's your rounded value

   $\mathrm{110,000}\times 0.01$$=\mathrm{1,100}$

4. Rounded value: 1,500

1. The unit is the multiple you chose, so the answer will be a whole number of those steps

   $\mathrm{unit}$$=4$

2. Divide your number by the unit to see how many units fit in it

   $\frac{\mathrm{1,500}}{4}$$=375$

3. Half up: go to the nearest whole number of units. If it's exactly halfway, go away from zero

   $375\to 375$

4. Multiply the rounded count by the unit to turn it back into a number: that's your rounded value

   $375\times 4$$=\mathrm{1,500}$

5. Rounded value: 1,200

1. The first digit that isn't zero is in the 10^3 place. To keep 2 significant figures, count in steps of 10^2

   $\mathrm{unit}$$={10}^2$$=100$

2. Divide your number by the unit to see how many units fit in it

   $\frac{\mathrm{1,225}}{100}$$=12.25$

3. Half up: go to the nearest whole number of units. If it's exactly halfway, go away from zero

   $12.25\to 12$

4. Multiply the rounded count by the unit to turn it back into a number: that's your rounded value

   $12\times 100$$=\mathrm{1,200}$

6. Rounded value: 1,200

1. Rounding to 3 decimal places means counting in steps of 0.001, so that step is the unit

   $\mathrm{unit}$$={10}^{\mathrm{-3}}$$=0.001$

2. Divide your number by the unit to see how many units fit in it

   $\frac{\mathrm{1,200}}{0.001}$$=\mathrm{1,200,000}$

3. Always down (floor): unless the count is already whole, move to the next whole number below it

   $\mathrm{1,200,000}\to \mathrm{1,200,000}$

4. Multiply the rounded count by the unit to turn it back into a number: that's your rounded value

   $\mathrm{1,200,000}\times 0.001$$=\mathrm{1,200}$

7. Rounded value: 1,050

1. The unit is the multiple you chose, so the answer will be a whole number of those steps

   $\mathrm{unit}$$=7$

2. Divide your number by the unit to see how many units fit in it

   $\frac{\mathrm{1,050}}{7}$$=150$

3. Always down (floor): unless the count is already whole, move to the next whole number below it

   $150\to 150$

4. Multiply the rounded count by the unit to turn it back into a number: that's your rounded value

   $150\times 7$$=\mathrm{1,050}$

8. Rounded value: 1,500

1. Rounding to 2 decimal places means counting in steps of 0.01, so that step is the unit

   $\mathrm{unit}$$={10}^{\mathrm{-2}}$$=0.01$

2. Divide your number by the unit to see how many units fit in it

   $\frac{\mathrm{1,500}}{0.01}$$=\mathrm{150,000}$

3. Always up (ceiling): unless the count is already whole, move to the next whole number above it

   $\mathrm{150,000}\to \mathrm{150,000}$

4. Multiply the rounded count by the unit to turn it back into a number: that's your rounded value

   $\mathrm{150,000}\times 0.01$$=\mathrm{1,500}$

9. Rounded value: 1,200

1. The first digit that isn't zero is in the 10^3 place. To keep 2 significant figures, count in steps of 10^2

   $\mathrm{unit}$$={10}^2$$=100$

2. Divide your number by the unit to see how many units fit in it

   $\frac{\mathrm{1,200}}{100}$$=12$

3. Always up (ceiling): unless the count is already whole, move to the next whole number above it

   $12\to 12$

4. Multiply the rounded count by the unit to turn it back into a number: that's your rounded value

   $12\times 100$$=\mathrm{1,200}$

10. Rounded value: 1,250

1. Rounding to 1 decimal place means counting in steps of 0.1, so that step is the unit

   $\mathrm{unit}$$={10}^{\mathrm{-1}}$$=0.1$

2. Divide your number by the unit to see how many units fit in it

   $\frac{\mathrm{1,250}}{0.1}$$=\mathrm{12,500}$

3. Half up: go to the nearest whole number of units. If it's exactly halfway, go away from zero

   $\mathrm{12,500}\to \mathrm{12,500}$

4. Multiply the rounded count by the unit to turn it back into a number: that's your rounded value

   $\mathrm{12,500}\times 0.1$$=\mathrm{1,250}$