Place Value and Rounding – Rounding to Tenths, Millions to Units, Rounding to the Nearest 1000, Rounding to Nearest 10, Decimal Place Value are maths skills that are commonly tested in 11+ exams and UK Selective tests.

**Examples**

### Example Question 1:

Round the number 4381

- To the nearest ten
- To the nearest hundred
- To the nearest thousand

**Answers:** (1) 4380, (2) 4400, (3) 4000

**Explanations: **

(1) 438**1** rounded to the nearest ten makes the 8**1** round down to 80 because the 1 is smaller than 5.

(2) 43**8**1 rounded to the nearest hundred makes the 3**8**1 round up to 400 because the 80 is greater than 50.

(3) 4**3**81 rounded to the nearest thousand makes the 4**3**21 round down to 4000 because the 300 is smaller than 500.

### Example Question 2:

Round the decimal number 1.2864

- To the nearest tenth
- To the nearest hundredth
- To the nearest thousandth
- To the nearest whole unit

**Answers:** (1) 1.3, (2) 1.29, (3) 1.286, (4) 1

**Explanations: **

(1) 1,2**8**64 rounded to the nearest tenth makes the **8 **in the hundredths position round up the tenths to 3 because the 8 hundredths is greater than 5 hundredths.

(2) 1.28**6**4 rounded to the nearest hundredth makes the **6 **in the thousandths position round up the hundredths to 9 because the 6 thousandths is greater than 5 thousandths.

(3) 1.286**4** rounded to the nearest thousandth makes the **4 **in the tens of thousandths position rounds down to 0 because the 4 in the tens of thousandths position is less than 5 tens of thousandths.

(4) 1.**2**864 rounded to the nearest whole unit makes the **2** in the tenths position round down to 0 because it is less than 5 tenths.

### Example Question 3:

What is the underlined number in this figure worth?

202, 568, 142

**Answer:** 60,000 /sixty thousand

**Explanation:** two hundred and two million, five hundred and **sixty**-eight **thousand**, one hundred and forty-two

## Video Tutorials

### Rounding to Tenths

### Millions to Units

### Rounding to Nearest 1000

### Rounding to Nearest 10

### Decimal Place Value