Question

10.) 4.67 × 1.23 =
11.) 2.34 × 3.45 =
12.) 5.67 × 4.32 =
13.) 7.89 × 0.56 =
14.) 8.12 × 1.34 =
15.) 0.98 × 2.76 =
16.) 1.23 × 3.21 =
es it travel in 0.85 minutes?

Explanation:

Problem 10: \( 4.67 \times 1.23 \)

Step1: Multiply the numbers as integers

First, we consider \( 467 \times 123 \).
\( 467\times123 = 467\times(100 + 20+3)=467\times100+467\times20 + 467\times3=46700+9340+1401 = 46700+9340 = 56040; 56040 + 1401=57441\)

Step2: Determine the number of decimal places

The number \( 4.67 \) has 2 decimal places and \( 1.23 \) has 2 decimal places. So the total number of decimal places in the product is \( 2 + 2=4\).

Step3: Place the decimal point

We take the product \( 57441 \) and place the decimal point 4 places from the right. So \( 4.67\times1.23 = 5.7441\)

Step1: Multiply as integers

Calculate \( 234\times345 \).
\( 234\times345=(200 + 30+4)\times345=200\times345+30\times345 + 4\times345=69000+10350+1380=69000 + 10350=79350;79350+1380 = 80730\)

Step2: Determine decimal places

\( 2.34 \) has 2 decimal places and \( 3.45 \) has 2 decimal places. Total decimal places \( 2 + 2 = 4\)

Step3: Place decimal point

\( 2.34\times3.45=\frac{80730}{10000}=8.0730 = 8.073\) (we can remove the trailing zero)

Step1: Multiply as integers

\( 567\times432=(500+60 + 7)\times432=500\times432+60\times432+7\times432=216000+25920+3024=216000+25920 = 241920;241920+3024 = 244944\)

Step2: Determine decimal places

\( 5.67 \) has 2 decimal places and \( 4.32 \) has 2 decimal places. Total decimal places \( 2+2 = 4\)

Step3: Place decimal point

\( 5.67\times4.32=\frac{244944}{10000}=24.4944\)

Answer:

\( 5.7441 \)

Problem 11: \( 2.34\times3.45 \)