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Division

Why does dividing by a number smaller than one make your answer bigger? Dividing decimals holds a few surprises like that, and these quizzes make the method second nature.

Dividing Decimals Step by Step

You will solve problems from the tenths place out to the thousandths, such as 1.8 / 0.4 = 4.5 and 3.50 / 0.05 = 70, with a few true or false items to check along the way. The numbers grow across the sets, but the approach never does.

The trick that makes decimal division click is to slide the point in both numbers by the same amount until you are dividing by a whole number. That turns an awkward problem into the familiar long division you already know. These quizzes suit beginner to intermediate learners. A few answers come out to neat whole values, a quick sign your shifting and dividing landed in the right place.

Did You Know?

Dividing by a value less than one actually makes the result larger, not smaller. That is why 3.50 / 0.05 lands all the way up at 70, which catches a lot of people off guard the first time.

The smaller the divisor, the more dramatic the jump. Dividing by something tiny like 0.009 can send the answer soaring far past the numbers you started with.

How the Quizzes Work

Each quiz is short, about five minutes, and you can replay any of the three until shifting the point feels automatic. Coming back to the trickier ones a few times is the fastest way to learn to trust your own method on any problem. Decimal division turns up constantly in money and measurement, so this practice pays off well beyond the quiz itself. Ready to tackle decimal division? Jump into the free interactive math quizzes and pick a starting point.

1. Dividing Hundredths

This 12-question quiz takes decimal division to the hundredths place. Expect problems such as 3.50 / 0.05 = ? and 10.15 / 1.25 = ?, along with a few true or false items to check. The same shortcut applies as with simpler decimals: move the decimal point in the divisor and the dividend together until you are dividing by a whole number. Some of these divisions come out surprisingly large, a good reminder that dividing by a number less than one actually makes the answer bigger. Recommended level: intermediate.
score: 78% (everyone)
12 questions

2. Dividing Tenths

Get some practice dividing decimals at the tenths place with this 12-question quiz. You will work through problems like 1.8 / 0.4 = ? and 25.5 / 5.1 = ?, with a few true or false statements mixed in. The trick that makes decimal division click is shifting the point in both numbers by the same amount until the divisor becomes a whole number, which turns a tricky problem into a familiar one. A few answers come out to neat whole values, a sign your shifting and dividing landed in the right place. Recommended level: beginner to intermediate.
score: 68% (everyone)
12 questions

3. Dividing Thousandths

This 12-question quiz works on dividing decimals that are carried out to the thousandths place. You will solve problems like 1.200 / 0.320 = ? and 9.660 / 0.920 = ?, with a couple of true or false statements to verify. Even with three decimal places, the strategy holds steady: slide the point in both numbers until the divisor is whole, then divide the way you normally would. Dividing by a tiny number like 0.009 can send the answer soaring well past the numbers you started with, which catches a lot of people by surprise. Recommended level: intermediate.
score: 52% (everyone)
12 questions