Shade grids and build with blocks to see tenths, hundredths and percent. Compare, match and beat the clock.
Start here. A decimal is a number with a point in it. The point splits the whole numbers from the parts. Cut a strip into 10 equal parts and each part is one tenth, written 0.1. Three parts shaded is 0.3, which is the same as the fraction 3/10.
Hundredths. Now take a square grid of 100 small squares. One small square is one hundredth, written 0.01. A whole column of 10 squares is one tenth, 0.1. So 0.37 means 3 tenths and 7 hundredths, or 37 squares out of 100.
Percent. The word percent means "out of 100". So 37 squares out of 100 is 37%. That is why 0.37, 37/100 and 37% all name the same amount.
Comparing decimals. Do not count the digits. Line up the places and compare the tenths first. 0.4 is bigger than 0.37, because 4 tenths is 40 hundredths and 40 is more than 37. A longer decimal is not always a bigger one.
Percent of a number. 50% is one half, 25% is one quarter and 10% is one tenth. So 25% of 40 is 10, because a quarter of 40 is 10.
Adding and subtracting. Line up the decimal points, then work one place at a time, just like whole numbers. When a column reaches 10, trade 10 for 1 in the next place to the left. When a column does not have enough, break 1 from the next place.
Try this above. In Play, shade 40 squares and then 37 squares. Which is more? Switch to the place value mat and build 0.37. Add 3 more hundredths, then 10 hundredths, and watch the trade.
A decimal is a way to write a number with parts that are tenths, hundredths and so on. In 2.35 the 2 is two ones, the 3 is three tenths and the 5 is five hundredths.
0.4 is 4 tenths, which is the same as 40 hundredths. 0.37 is only 37 hundredths. Forty is more than thirty-seven, so 0.4 is bigger.
Think of hundredths. 0.37 is 37 hundredths, so it is 37%. In short, move the point two places to the right.
Pick the level, not the age. "Just starting" uses tenths. "I know the basics" uses hundredths, percent and rounding. "Challenge me" has percent of a number, switching between fractions, decimals and percent, and adding and subtracting decimals.
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