Mathematics | Class: JSS1 | Term: 1st

Decimal Place Value

len Alfred Ajibola - 01st February, 2026 @ 09:21 PM

Topics in Mathematics

Linear Equation in Mathematics Word Problems leading to Algebraic Expression BODMAS in Algebra Multiplication and Division in Algebra Addition and Subtraction in Algebra Multiplication of Number Bases Subtraction of Number Bases Addition of Number Bases Division of Number Base Number Base Conversion Number Base System Significant Figures Rounding Off Numbers Decimal Place Value Fraction Word Problems Word Problems in Fraction Multiplication and Division of Fractions Addition and Subtraction of Fractions Expressing One Quantity as a Percentage of Another Expressing One Quantity as a Fraction of Another


Academic Questions in Mathematics

Please click here to see all Questions and Answers

Decagon - Len Academy

What type of polygon is shown in the above image?

  • A. Nonagon

  • B. Decagon

  • C. Octagon

  • D. Hexagon

  • E. Hepagon

  • F. Pentagon

Which of the following is not part of a circle?

  • A. Section

  • B. Sector

  • C. Segment

  • D. Semicircle

  • E. Secant

  • F. Center

Acute Angle - Len Academy

What angle is shown in the above image?

  • A. Complementary

  • B. Supplementary

  • C. Acute

  • D. Obtuse

  • E. Reflex

  • F. Straight

An angle greater than 90o but less than 180o is termed _____.

  • A. Complementary

  • B. Supplementary

  • C. Acute

  • D. Obtuse

  • E. Reflex

  • F. Straight

Factorize 12a2 - 20a + 3

  • A. (6a - 1)(2a - 3)

  • B. (6a - 1)(2a + 3)

  • C. (6a + 1)(2a - 3)

  • D. (6a + 1)(2a + 3)

  • E. (-6a + 1)(2a - 3)

  • F. (-6a + 1)(2a + 3)

Simplify 10ab + 7ab

  • A. 17ab2

  • B. 17a2b2

  • C. 3ab2

  • D. 3a2b2

  • E. 17ab

  • F 3ab

Which of the following is not a type of angle?

  • A. Right angle

  • B. Left Angle

  • C. Acute Angle

  • D. Complete Angle

  • E. Straight Angle

  • F. Reflex angle

Two lines that can never meet each other are best considered as _____ lines.

  • A. straight
  • B. vertical
  • C. horizontal
  • D. parallel
  • E. oblique
  • F. perpendicular



Decimal Places


Decimal places refer to the positions of digits to the right of the decimal point (or just after a decimal point). It presents a way of representing fractions through designations like tenths, hundredths, thousandths, and so on. In this regard, decimal place values have different names and values according to how close or far away they are from the decimal point. These are summarized below:

  • Tenths (1st place): This is the first digit after the decimal point. For example, 3 in 0.345 represents 3 tenths.

  • Hundredths (2nd place): The is the second digit after the decimal point. For example, 4 in 0.345 represents 4 hundredths.

  • Thousandths (3rd place): The is the third digit after the decimal point. For example, 5 in 0.345 represents 5 thousandths.

Please read on the place value of numbers here.

 

Recall that place value is the value of each digit in a number, determined by its position. The values present before the decimal point include the thousands, hundreds, tens, unit (or ones), while those present after the decimal point are the tenth, hundredth, thousandth, etc. 

The image below shows the place values of numbers.

Place values of numbers - Len Academy

Meanwhile, understand that after the decimal point, each place value to the right is ten times smaller than the place value to its left.

Please read on the conversion of decimals to fractions here.

 

To express decimal number to decimal places; for instance, one decimal place, two decimal places, three decimal places and so on, we will follow the steps below.

  • To one decimal place: Look at the digit in the second decimal place. If this digit is 5 or greater than 5, we'll  round up the first decimal place digit by adding one to it. However, if the digit in the second decimal place is less than 5, the digit in the first decimal place will remain unchanged.

  • To two decimal place: Look at the digit in the third decimal place. If this digit is 5 or greater than 5, we'll  round up the second decimal place digit by adding one to it. However, of the digit in the third decimal place is less than 5, the digit in the second decimal place will remain unchanged.

  • To three decimal place: Look at the digit in the fourth decimal place. If this digit is 5 or greater than 5, we'll  round up the third decimal place digit by adding one to it. However, if the digit in the fourth decimal place is less than 5, the digit in the third decimal place will remain unchanged.

Please read on rounding off numbers here.

Please read on significant figures here.

 


Worked Examples on Place Values


Example 1
  • Express 3.6754 to one decimal place

Solution 

To express 3.6754 to one decimal place, we look at the digit in the second decimal place, which is 7. Since 7 is greater than or equal to 5, we round up the first decimal place digit by adding 1 to 6 which equals 7.

  • 3.6754 = 3.7 (one decimal place)

 

Example 2
  • Express 419.0088 to 2 decimal places

Solution

To express 419.0088 to two decimal place, we look at the digit in the third decimal place, which is 8. Since 8 is greater than or equal to 5, we round up the second decimal place digit by adding 1 to 00 which equals 01.

  • 419.0088 = 419.01 (two decimal places).

 

Example 3
  • Express 0.5689 to three decimal place

Solution 

To express 0.5689 to three decimal place, we look at the digit in the fourth decimal place, which is 9. Since 9 is greater than or equal to 5, we round up the third decimal place digit by adding 1 to 568 which equals 569.

  • 0.5689 = 0.569 (three decimal places)

 

Example 4
  • Express 18.59495 to two decimal place

Solution 

To express 18.59495 to two decimal place, we look at the digit in the third decimal place, which is 4. Since 4 is lesser than 5, value 59 after the decimal point remains unchanged.

  • 18.59495 = 18.59 (2 decimd places)

 

Example 5
  • Express 5.439804 to five decimal places.

Solution 

To express 5.439804 to five decimal places, we look at the digit in the sixth decimal place, which is 4. Since 4 is lesser than 5, value 439804 after the decimal point remains unchanged.

  • 5.439808 = 5.43980 (5 decimal places.

You can read on the division of number base here.

Please read on word problems leading to algebraic expressions here.

 


Assignment on Decimal Places


1. Express each of following to two decimal places:

  • 12.347

  • 8.8.912

  • 540.089

  • 0.002311

  • 0.124

 

2. Express each of the following to one decimal place.

  • 0.75112

  • 12.3446

  • 6.8.9023

  • 540.999

  • 0.95843

 

3. Express each of the following to three decimal places.

  • 1.9455

  • 0.74052

  • 1.2362

  • 0.2409

  • 0.1156

Please read on mathematics week 7 topic for jss1 first term here.

Please read on mathematics scheme of work for jss1 first term here.

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Amazing facts in Mathematics

The opposite sides of a dice will always give a sum of seven

31,556,926 seconds makes one year

From 0 through 1000, the only number that has the letter 'a' in it is 'one thousand'

÷

The division symbol '÷' is actually called an obelus

Four is the only number in the English language that is spelt with the same number of letters as the number (4) itself

40 is spelt as forty and not 'fourty'. It is the only number that is spelt with letters arranged in alphabetical order

An odd number is a number that cannot be divisible by 2.

Every odd number has an 'e' in its spelling. They include:

  • One
  • Three
  • Five
  • Seven
  • Nine

555 in Thailand sounds like 'hahaha'. This is because the number '5' means 'ha' in Thailand

In mathematics, 10! means 10 factorial. Below is its calculation:

10! = 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 3628800

Interestingly, 3628800 seconds is the same as 42 days

42 days is the same as 6 weeks

We can therefore say that 10! equals 6 weeks or 3628800 seconds in mathematics

When you multiply 111,111,111 by 111,111,111; the result equals 12,345,678,987,654,321


Notable points in Mathematics

Let's use algebra to explain the simple statement below:

I am a number. When you subtract 3 from me, the result is 9. what number am I ?

Of course we know the answer is 12. You probably guessed it from your mind because it was that simple. The truth is, We could have a much more complicated statement of such; and that is where algebra comes into play.

Now, to apply algebra in the above statement, we use letters or alphabets to represent the unknown number(s). So using algebra, we can write:

  • Let the number be y

  • y - 3 = 9

  • y = 9 + 3

  • y = 12

Please read more on algebra here

Sides of a right angle triangle - Len Academy

 

The image above shows a right angled triangle. The angle of the above right triangle is denoted as θ. Below are some points to note:

Hypotenuse is always the longest side of the triangle.

Opposite is the side opposite the angle (θ)

Adjacent is the shorter side next to the angle (θ)

Each of Sin θ, cos θ and tan θ are the ratio of sides of the right triangle. They are calculated by using the formula (margic word) sohcahtoa:

Sohcahtoa - Len Academy

soh

Sin θ = Opposite/Hypotenuse

cah

Cos θ = Adjacent/Hypotenuse

toa

Tan θ = Opposite/Adjacent

Please read more on sine, cosine and tangent here

Circumference of a Circle - Len Academy

Circumference in mathematics means the distance around the edge of a circle (or a another curved surface).

Circumference is to circle or any other curved surface

Perimeter of a Rectangle - Len Academy

Perimeter means the distance around a square or rectangle or polygon.

Perimeter is to square or rectangle or polygon