High School

Calculate the result of the expression: [tex]10 - 0.43 =[/tex]

A. 0.67

B. 9.57

C. 9.67

D. 1.57

Answer :

To solve the subtraction problem

[tex]$$10 - 0.43,$$[/tex]

we can proceed with the following steps:

1. Express in Decimal Form:
Write 10 as a decimal with two decimal places:
[tex]$$10 = 10.00.$$[/tex]

2. Subtract the Numbers:
Subtract [tex]$0.43$[/tex] from [tex]$10.00$[/tex] digit by digit:

[tex]$$10.00 - 0.43.$$[/tex]

- Subtract the hundredths:
[tex]$$0 - 3 \quad \text{(Since 0 is less than 3, we borrow from the tenths place)}.$$[/tex]

- After borrowing, the tenths digit becomes [tex]$9$[/tex] (from [tex]$0$[/tex] increased by [tex]$10$[/tex], then reduced by 1 unit) and the hundredths becomes [tex]$10$[/tex].

- Now, subtract the hundredths:
[tex]$$10 - 3 = 7.$$[/tex]

- Subtract the tenths:
[tex]$$9 - 4 = 5.$$[/tex]

- The whole number part remains:
[tex]$$10 - 0 = 10,$$[/tex]
but after adjusting for the borrow, the whole number becomes:
[tex]$$9.$$[/tex]

Thus, the final result is:

[tex]$$9.57.$$[/tex]

3. Match with the Given Choices:
The result [tex]$9.57$[/tex] corresponds to choice B.

Therefore, the answer is:

[tex]$$\boxed{9.57}.$$[/tex]