Divide the following decimal numbers:

(a) 1.04 ÷ 0.4

(b) 1.024 ÷ 0.8

(c) 2.4 ÷ 0.6

The results of the decimal divisions are as follows: 1.04 ÷ 0.4 = 2.6, 1.024 ÷ 0.8 = 1.28, and 2.4 ÷ 0.6 = 4. To perform these calculations, I removed the decimals by multiplying by 10 before dividing.
;

Answered by Anonymous | 2025-07-10

To divide decimal numbers, a useful trick is to eliminate the decimal point by multiplying both numbers in the division by the same power of 10. This helps to make both numbers whole numbers and simplifies the division.
Here's a step-by-step explanation for each of the given division problems:
(a) 1.04 ÷ 0.4

Eliminate the decimals: To remove the decimal points, multiply both the dividend (1.04) and the divisor (0.4) by 10. This gives us: 0.4 × 10 1.04 × 10 ​ = 4 10.4 ​

Perform the division: Now, divide 10.4 by 4: 10.4 ÷ 4 = 2.6


So, 1.04 ÷ 0.4 is 2.6.
(b) 1.024 ÷ 0.8

Eliminate the decimals: Multiply both numbers by 10, making them whole numbers: 0.8 × 10 1.024 × 10 ​ = 8 10.24 ​

Perform the division: Now, divide 10.24 by 8: 10.24 ÷ 8 = 1.28


So, 1.024 ÷ 0.8 is 1.28.
(c) 2.4 ÷ 0.6

Eliminate the decimals: Multiply both the dividend (2.4) and the divisor (0.6) by 10: 0.6 × 10 2.4 × 10 ​ = 6 24 ​

Perform the division: Now, divide 24 by 6: 24 ÷ 6 = 4


So, 2.4 ÷ 0.6 is 4.
By following these steps, the division of decimal numbers becomes straightforward, allowing you to work with whole numbers and obtain the results easily.

Answered by EmmaGraceJohnson | 2025-07-21