Kate moved onto a new block of land with an area of one and a half square kilometres (1.5 km2). If one-half of a square kilometre of the land is to be taken up by the house (0.5 km2), how much remaining land does Kate own in square metres (m2)?

First, let's understand that 1 square kilometre (km2) is equal to 1,000,000 square metres (m2).

Kate's total land area is 1.5 km2. To convert this to square metres, we multiply by 1,000,000.

1.5 km2 * 1,000,000 = 1,500,000 m2

The area to be taken up by the house is 0.5 km2. To convert this to square metres, we again multiply by 1,000,000.

0.5 km2 * 1,000,000 = 500,000 m2

To find out how much land Kate has left after the house is built, we subtract the area of the house from the total land area.

1,500,000 m2 - 500,000 m2 = 1,000,000 m2

So, Kate will have 1,000,000 square metres of land remaining after the house is built.

First, we need to determine the total area of the land in square metres. Since 1 square kilometre is equal to 1,000,000 square metres, we can convert the total area of 1.5 square kilometres to square metres:

1.5 km² = 1.5 × 1,000,000 m² = 1,500,000 m²

Next, we need to determine the area taken up by the house in square metres. Since 0.5 square kilometres is equal to 500,000 square metres, we can convert this area as follows:

0.5 km² = 0.5 × 1,000,000 m² = 500,000 m²

Now, we subtract the area taken up by the house from the total area to find the remaining land:

Remaining land = Total area - Area taken up by the house Remaining land = 1,500,000 m² - 500,000 m² = 1,000,000 m²

Therefore, Kate owns 1,000,000 square metres of remaining land.