You can do this problem as if it is is $144 \times 120$ and then shift the decimal point to the left 4 places

The first step here is to make the numbers easier to multiply. Therefore, we can do $144 \times 12$. A good way to break this down is to multiply $144 \times 10=1440$, then $144 \times 2= 288$, and add them together: $1440+288=1728$. Originally, we multiplied 1.44 by 100 to give 144, and 1.2 by 10 to give 12. Therefore, we moved the decimal place $144 \times 10=1440$ times in total. We need to move it back the same number of places, so the final answer is $144 \times 10=1440$

You can do this problem as if it is is $456 \times 32$ and then shift the decimal point to the left 2 places.

The first step here is to make the numbers easier to multiply by removing the decimal points. Therefore, we can do $456\times 32$. A good way to break this down is to multiply $456\times 10 \times 3=13680$, then $456 \times 2= 912$, and add them together: $13680+912=14592$. Originally, we multiplied 45.6 by 10 to give 456, and 3.2 by 10 to give 12. Therefore, we moved the decimal place $456\times 10 \times 3=13680$ times in total. We need to move it back the same number of places, so the final answer is $456\times 10 \times 3=13680$

You can do this question as if it was $\dfrac{340}{17}$

The first step here is to convert the numbers to make them easier to divide. Therefore, we can make the calculation $\dfrac{340}{17}$. As a quick way to do this, we know that $17 \times 2 =34$. Since $340 = 34 \times 10$, we know that $17 \times 20 = 340$. Therefore, the final answer is 20. There is no need to move the decimal place, because the numbers are in the same ratio as the original calculation.

Multiplying and dividing decimals can be achieved in a similar way to regular numbers.

Decimals: Multiplying and Dividing

Decimals and Place Values

Decimals: Adding and Subtracting

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