Rounding Decimals

5.NBT.A.4

153150

Here is the whole number 153.Let’s round to the nearest ten.Which digit is in the tens place?How many tens are in this number?155The digit to the right is a 3. Should we round up?No, we round up only when this number is 5 or more.So, 153 is nearest to 15 tens …

Round to the nearest ten.

… which is 150.Today, we will learn about how to round decimals. First, let’s review how to round whole numbers.

Rounding Decimals

2,9 0 02,8 7 1

Here is 2,871.Let’s round to the nearest hundred.Which digit is in the hundreds place?How many hundreds are in this number?288The digit to the right is a 7. Should we round up?Yes, we round up when this number is 5 or more.So, the nearest hundred is 29 hundreds …

Round to the nearest hundred.

… which is 2,900.

Rounding Decimals

4 0,0 0 03 9,5 1 2

Here is 39,512.Let’s round to the nearest thousand.Which digit is in the thousands place?How many thousands are in this number?399The digit to the right is a 5. Should we round up?Yes, we round up when this number is 5 or more.So, the nearest thousand is 40 thousands …

Round to the nearest thousand.

… which is 40,000.

Rounding Decimals

0.6 10.6

Here is 0.61.Let’s round to the nearest tenth.Which digit is in the tenths place?How many tenths are in this number?66The digit to the right is a 1. Should we round up?No, we round up only when this number is 5 or more.So, 0.61 is nearest to 6 tenths.

Round to the nearest tenth.

The answer is 0.6.Now, let’s use the same strategy to round decimals.

Rounding Decimals

5.8 7 45.9

Here is 5.874.Let’s round to the nearest tenth.Which digit is in the tenths place?How many tenths are in this number?588The digit to the right is a 7. Should we round up?Yes, we round up when this number is 5 or more.So, 5.874 is nearest to 59 tenths …

Round to the nearest tenth.

… which is 5.9.

Rounding Decimals

1.2 1.2 4 3

Here is 1.243.Let’s round to the nearest tenth.Which digit is in the tenths place?How many tenths are in this number?122The digit to the right is a 4. Should we round up?No, we round up only when this number is 5 or more.So, 1.243 rounds to 12 tenths …

Round to the nearest tenth.

… which is 1.2.

Rounding Decimals

3 6.33 6.2 7 4

Here is 36.274.Let’s round to the nearest tenth.Which digit is in the tenths place?How many tenths are in this number?3622The digit to the right is a 7. Should we round up?Yes, we round up when this number is 5 or more.So, 36.274 rounds to 363 tenths …

Round to the nearest tenth.

… which is 36.3.

Rounding Decimals

0.6 1 70.6 2

Here is 0.617.This time, let’s round to the nearest hundredth.Which digit is in the hundredths place?How many hundredths are in this number?611The digit to the right is a 7. Should we round up?Yes, we round up when this number is 5 or more.So, 0.617 is nearest to 62 hundredths …

Round to the nearest hundredth.

… which is 0.62.

Rounding Decimals

4.3 8 1 94.3 8

Here is 4.3819.Let’s round to the nearest hundredth.Which digit is in the hundredths place?How many hundredths are in this number?4388The digit to the right is a 1. Should we round up?No, we round up only when this number is 5 or more.So, 4.3819 rounds to 438 hundredths …

Round to the nearest hundredth.

… which is 4.38.

Rounding Decimals

0.2 4 3 7

0.2 4

Here is 0.2437.Let’s round to the nearest hundredth.Which digit is in the hundredths place?How many hundredths are in this number?244The digit to the right is a 3. Should we round up?No, we round up only when this number is 5 or more.So, 0.2437 rounds to 24 hundredths …

Round to the nearest hundredth.

… which is 0.24.

Rounding Decimals

0.0 0 7 20.0 0 7

Here is 0.0072.Let’s round to the nearest thousandth.Which digit is in the thousandths place?How many thousandths are in this number?77The digit to the right is a 2. Should we round up?No, we round up only when this number is 5 or more.So, 0.0072 is nearest to 7 thousandths …

Round to the nearest thousandth.

… which is 0.007.

Rounding Decimals

0.4 6 1 80.4 6 2

Here is 0.4618.Let’s round to the nearest thousandth.Which digit is in the thousandths place?How many thousandths are in this number?4611The digit to the right is an 8. Should we round up?Yes, we round up when this number is 5 or more.So, 0.4618 is nearest to 462 thousandths …

Round to the nearest thousandth.

… which is 0.462.

Rounding Decimals

Rounding Decimals

Lightning Round

1.3 81.4

Round to the nearest tenth.

Rounding Decimals

0.5 1 60.5

Round to the nearest tenth.

Rounding Decimals

3.8 9 13.9

Round to the nearest tenth.

Rounding Decimals

0.0 7 20.0 7

Round to the nearest hundredth.

Rounding Decimals

0.1 3 80.1 4

Round to the nearest hundredth.

Rounding Decimals

5.2 6 55.2 7

Round to the nearest hundredth.

Rounding Decimals

Closing Question

Rounding Decimals

3.5 1 53.5 2

Round to the nearest hundredth.

Rounding Decimals