We will learn how to simplify the numerical expressions involving decimal numbers. We know how to perform the fundamental operations, namely addition, subtraction, multiplication and division involving decimal numbers and now we will learn to perform two or more operations together.
Solved examples to simplify the numerical expressions involving decimal numbers:
Simplify the following:
(i) 0.75 ÷ 1.5 + 3.4 × 2.5 - 1.6
= 0.75 × 1/1.5 + 3.4 × 2.5 - 1.6 (Divide 0.75 by 1.5 = 0.5)
= 0.5 + 3.4 × 2.5 - 1.6 (Multiply 3.4 × 2.5 = 8.5)
= 0.5 + 8.5 - 1.6 (Add 0.5 + 8.5 = 9.5)
= 9 - 1.6 (Subtract 9 - 1.6 = 7.4)
= 7.4
Therefore, 0.75 ÷ 1.5 + 3.4 × 2.5 - 1.6 = 7.4
(ii) 0.05 + 2 × 1.02 ÷ 0.2 - 0.5
= 0.05 + 2 × 1.02 × 1/0.2 - 0.5 (Divide 1.02 by 0.2 = 5.1)
= 0.05 + 2 × 5.1 - 0.5 (Multiply 2 × 5.1 = 10.2)
= 0.05 + 10.2 - 0.5 (Add 0.05 + 10.2 = 10.25)
= 10.25 - 0.5 (Subtract 10.25 - 0.5 = 9.75)
= 9.75
Therefore, 0.05 + 2 × 1.02 ÷ 0.2 - 0.5 = 9.75
(iii) 0.01 + 2 × 1.02 ÷ 0.2 - 0.5
= 0.01 + 2 × 1.02 × 1/0.2 - 0.5 (Divide 1.02 by 0.2 = 5.1)
= 0.01 + 2 × 5.1 - 0.5 (Multiply 2 × 5.1 = 10.2)
= 0.01 + 10.2 - 0.5 (Add 0.01 + 10.2 = 10.21)
= 10.21 - 0.5 (Subtract 10.21 - 0.5 = 9.71)
= 9.71
Therefore, 0.01 + 2 × 1.02 ÷ 0.2 - 0.5 = 9.71
(iv) 9 - 2.5 ÷ 5 × 0.3 + 1
= 9 - 2.5 × 1/5 × 0.3 + 1 (Divide 2.5 by 5 = 0.5)
= 9 - 0.5 × 0.3 + 1 (Multiply 0.5 × 0.3 = 0.15)
= 9 - 0.15 + 1 (Rearrange)
= 9 + 1 - 0.15 (Add 9 + 1 = 10)
= 10 - 0.15 (Subtract 10 - 0.15 = 9.85)
= 9.85
Therefore, 9 - 2.5 ÷ 5 × 0.3 + 1 = 9.85
From Numerical Expressions Involving Decimal Numbers to HOME PAGE
Didn't find what you were looking for? Or want to know more information about Math Only Math. Use this Google Search to find what you need.
Jul 22, 24 03:27 PM
Jul 22, 24 02:41 PM
Jul 21, 24 02:14 PM
Jul 20, 24 03:45 PM
Jul 20, 24 02:30 PM
New! Comments
Have your say about what you just read! Leave me a comment in the box below. Ask a Question or Answer a Question.