Answer :
Let's go through each multiplication step-by-step:
1. Multiply [tex]\(6.179 \times 10\)[/tex]:
- When you multiply [tex]\(6.179\)[/tex] by [tex]\(10\)[/tex], you simply move the decimal point one place to the right.
- Therefore, [tex]\(6.179 \times 10 = 61.79\)[/tex].
2. Multiply [tex]\(0.014 \times 100\)[/tex]:
- When you multiply [tex]\(0.014\)[/tex] by [tex]\(100\)[/tex], you move the decimal point two places to the right.
- Therefore, [tex]\(0.014 \times 100 = 1.40\)[/tex].
3. Multiply [tex]\(14.007 \times 10\)[/tex]:
- When you multiply [tex]\(14.007\)[/tex] by [tex]\(10\)[/tex], you move the decimal point one place to the right.
- Therefore, [tex]\(14.007 \times 10 = 140.07\)[/tex].
4. Multiply [tex]\(24.795 \times 100\)[/tex]:
- When you multiply [tex]\(24.795\)[/tex] by [tex]\(100\)[/tex], you move the decimal point two places to the right.
- Therefore, [tex]\(24.795 \times 100 = 2479.5\)[/tex].
5. Multiply [tex]\(0.009 \times 1000\)[/tex]:
- When you multiply [tex]\(0.009\)[/tex] by [tex]\(1000\)[/tex], you move the decimal point three places to the right.
- Therefore, [tex]\(0.009 \times 1000 = 9.0\)[/tex].
6. Multiply [tex]\(473.6 \times 10000\)[/tex]:
- When you multiply [tex]\(473.6\)[/tex] by [tex]\(10000\)[/tex], you move the decimal point four places to the right.
- Therefore, [tex]\(473.6 \times 10000 = 4736000.0\)[/tex].
7. Multiply [tex]\(2.968 \times 10000\)[/tex]:
- When you multiply [tex]\(2.968\)[/tex] by [tex]\(10000\)[/tex], you move the decimal point four places to the right.
- Therefore, [tex]\(2.968 \times 10000 = 29680.0\)[/tex].
8. Multiply [tex]\(0.00036 \times 100\)[/tex]:
- When you multiply [tex]\(0.00036\)[/tex] by [tex]\(100\)[/tex], you move the decimal point two places to the right.
- Therefore, [tex]\(0.00036 \times 100 = 0.036\)[/tex].
9. Multiply [tex]\(8.9 \times 10000\)[/tex]:
- When you multiply [tex]\(8.9\)[/tex] by [tex]\(10000\)[/tex], you move the decimal point four places to the right.
- Therefore, [tex]\(8.9 \times 10000 = 89000.0\)[/tex].
10. Multiply [tex]\(0.73 \times 1000\)[/tex]:
- When you multiply [tex]\(0.73\)[/tex] by [tex]\(1000\)[/tex], you move the decimal point three places to the right.
- Therefore, [tex]\(0.73 \times 1000 = 730.0\)[/tex].
11. Multiply [tex]\(19.45 \times 100\)[/tex]:
- When you multiply [tex]\(19.45\)[/tex] by [tex]\(100\)[/tex], you move the decimal point two places to the right.
- Therefore, [tex]\(19.45 \times 100 = 1945.0\)[/tex].
12. Multiply [tex]\(9.85 \times 10\)[/tex]:
- When you multiply [tex]\(9.85\)[/tex] by [tex]\(10\)[/tex], you move the decimal point one place to the right.
- Therefore, [tex]\(9.85 \times 10 = 98.5\)[/tex].
Now, putting it all together, the answers are:
[tex]\[ \begin{align*} (i) & \ 6.179 \times 10 = 61.79 \\ (ii & \ 0.014 \times 100 = 1.40 \\ (iii) & \ 14.007 \times 10 = 140.07 \\ (iv) & \ 24.795 \times 100 = 2479.5 \\ (v) & \ 0.009 \times 1000 = 9.0 \\ (vi) & \ 473.6 \times 10000 = 4736000.0 \\ (vii) & \ 2.968 \times 10000 = 29680.0 \\ (viii) & \ 0.00036 \times 100 = 0.036 \\ (ix) & \ 8.9 \times 10000 = 89000.0 \\ (x) & \ 0.73 \times 1000 = 730.0 \\ (xi) & \ 19.45 \times 100 = 1945.0 \\ (xii) & \ 9.85 \times 10 = 98.5 \\ \end{align*} \][/tex]
1. Multiply [tex]\(6.179 \times 10\)[/tex]:
- When you multiply [tex]\(6.179\)[/tex] by [tex]\(10\)[/tex], you simply move the decimal point one place to the right.
- Therefore, [tex]\(6.179 \times 10 = 61.79\)[/tex].
2. Multiply [tex]\(0.014 \times 100\)[/tex]:
- When you multiply [tex]\(0.014\)[/tex] by [tex]\(100\)[/tex], you move the decimal point two places to the right.
- Therefore, [tex]\(0.014 \times 100 = 1.40\)[/tex].
3. Multiply [tex]\(14.007 \times 10\)[/tex]:
- When you multiply [tex]\(14.007\)[/tex] by [tex]\(10\)[/tex], you move the decimal point one place to the right.
- Therefore, [tex]\(14.007 \times 10 = 140.07\)[/tex].
4. Multiply [tex]\(24.795 \times 100\)[/tex]:
- When you multiply [tex]\(24.795\)[/tex] by [tex]\(100\)[/tex], you move the decimal point two places to the right.
- Therefore, [tex]\(24.795 \times 100 = 2479.5\)[/tex].
5. Multiply [tex]\(0.009 \times 1000\)[/tex]:
- When you multiply [tex]\(0.009\)[/tex] by [tex]\(1000\)[/tex], you move the decimal point three places to the right.
- Therefore, [tex]\(0.009 \times 1000 = 9.0\)[/tex].
6. Multiply [tex]\(473.6 \times 10000\)[/tex]:
- When you multiply [tex]\(473.6\)[/tex] by [tex]\(10000\)[/tex], you move the decimal point four places to the right.
- Therefore, [tex]\(473.6 \times 10000 = 4736000.0\)[/tex].
7. Multiply [tex]\(2.968 \times 10000\)[/tex]:
- When you multiply [tex]\(2.968\)[/tex] by [tex]\(10000\)[/tex], you move the decimal point four places to the right.
- Therefore, [tex]\(2.968 \times 10000 = 29680.0\)[/tex].
8. Multiply [tex]\(0.00036 \times 100\)[/tex]:
- When you multiply [tex]\(0.00036\)[/tex] by [tex]\(100\)[/tex], you move the decimal point two places to the right.
- Therefore, [tex]\(0.00036 \times 100 = 0.036\)[/tex].
9. Multiply [tex]\(8.9 \times 10000\)[/tex]:
- When you multiply [tex]\(8.9\)[/tex] by [tex]\(10000\)[/tex], you move the decimal point four places to the right.
- Therefore, [tex]\(8.9 \times 10000 = 89000.0\)[/tex].
10. Multiply [tex]\(0.73 \times 1000\)[/tex]:
- When you multiply [tex]\(0.73\)[/tex] by [tex]\(1000\)[/tex], you move the decimal point three places to the right.
- Therefore, [tex]\(0.73 \times 1000 = 730.0\)[/tex].
11. Multiply [tex]\(19.45 \times 100\)[/tex]:
- When you multiply [tex]\(19.45\)[/tex] by [tex]\(100\)[/tex], you move the decimal point two places to the right.
- Therefore, [tex]\(19.45 \times 100 = 1945.0\)[/tex].
12. Multiply [tex]\(9.85 \times 10\)[/tex]:
- When you multiply [tex]\(9.85\)[/tex] by [tex]\(10\)[/tex], you move the decimal point one place to the right.
- Therefore, [tex]\(9.85 \times 10 = 98.5\)[/tex].
Now, putting it all together, the answers are:
[tex]\[ \begin{align*} (i) & \ 6.179 \times 10 = 61.79 \\ (ii & \ 0.014 \times 100 = 1.40 \\ (iii) & \ 14.007 \times 10 = 140.07 \\ (iv) & \ 24.795 \times 100 = 2479.5 \\ (v) & \ 0.009 \times 1000 = 9.0 \\ (vi) & \ 473.6 \times 10000 = 4736000.0 \\ (vii) & \ 2.968 \times 10000 = 29680.0 \\ (viii) & \ 0.00036 \times 100 = 0.036 \\ (ix) & \ 8.9 \times 10000 = 89000.0 \\ (x) & \ 0.73 \times 1000 = 730.0 \\ (xi) & \ 19.45 \times 100 = 1945.0 \\ (xii) & \ 9.85 \times 10 = 98.5 \\ \end{align*} \][/tex]
