Maths Topic 01 - Place value and rounding


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

  1. To the nearest ten 
  2. To the nearest hundred 
  3. To the nearest thousand 

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

Explanations:

(1) 4381 rounded to the nearest ten makes the 81 round down to 80 because the 1 is smaller than 5.

(2) 4381 rounded to the nearest hundred makes the 381 round up to 400 because the 80 is greater than 50.

(3) 4381 rounded to the nearest thousand makes the 4321 round down to 4000 because the 300 is smaller than 500.

Example Question 2:

Round the decimal number 1.2864

  1. To the nearest tenth
  2. To the nearest hundredth
  3. To the nearest thousandth
  4. To the nearest whole unit

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

Explanations: 

(1) 1,2864 rounded to the nearest tenth makes the in the hundredths position round up the tenths to 3 because the 8 hundredths is greater than 5 hundredths.

(2) 1.2864 rounded to the nearest hundredth makes the in the thousandths position round up the hundredths to 9 because the 6 thousandths is greater than 5 thousandths.

(3) 1.2864 rounded to the nearest thousandth makes the 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) 1.2864 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