Question

I am good at math. But this question I am not sure about

Answer 1

Step-by-step explanation:

Basic Ideas :-

Division of integer with a decimal part

In this question, we need to solve $42.6\div8$. This part might confuse you as divisions we dealt with the division without a decimal point.

The key is multiplication. Let's recall that we can multiply numbers with a decimal part.

$\frac{42.6}{8} \\ \\ \implies \frac{42.6 \times 10}{8 \times 10} \\ \\ \implies \frac{426}{80} \\ \\ \implies \frac{{ \cancel{426}}213}{{ \cancel{80}}40 } \\ \\ \implies \frac{213}{40} \\ \\ \implies5 \frac{13}{40} \\ \\ \implies5 + \frac{13}{40} \\ \\ \implies \: 5 + \frac{1}{40} \times 13\\ \\ \implies5 + 0.025 \times 13 \\ \\ \implies5 + \frac{25}{1000} \times 13 \\ \\ \implies5 + \frac{25 \times 13}{1000} \\ \\ \implies5 + \frac{325}{1000} \\ \\ \implies5 + 0.325 \\ \\ \implies5.325 \\ \\ \dashrightarrow \: {\bf\red{5.325} }\: { \tt \green{answer}}$

Answer 2

$\Large\text{\underline{\underline{Related topic}}}$

Division of integer with a decimal part

In this question, we need to solve $42.8\div8$. This part might confuse you as divisions we dealt with the division without a decimal point.

The key is multiplication. Let's recall that we can multiply numbers with a decimal part.

We need to find what number gives $42.8$ after multiplying $8$. It works in the same way we divide integers.

The below is the horizontal method. Please refer to the attachment if you need the long division method.

First, we know that $8\times5=40$ is the largest.

$\cdots\longrightarrow42.8=8\times5+2.8.$

Now, we know that $8\times0.3=2.4$ is the largest.

$\cdots\longrightarrow42.8=8\times5+8\times0.3+0.2.$

Then, we know that $8\times0.02=0.16$ is the largest.

$\cdots\longrightarrow42.8=8\times5+8\times0.3+8\times0.02+0.04.$

Lastly, we know that $8\times 0.005=0.04$ is the largest.

$\cdots\longrightarrow42.8=8\times5+8\times0.3+8\times0.02+8\times0.005.$

So, the answer is $5.325$.