Multiplying and dividing (age 10+)

Question 1

Lila changes a length from meters to decameters by multiplying 2.305 m by 10, getting 23.05 dm. Which sentence correctly explains why each digit of the original number appears one place farther to the left after the multiplication?

Accepted Answer

Multiplying by 10 makes the place values ten times larger, which moves the decimal point one place to the right; this makes the digits appear one place farther left.

Answer

The operation moves the decimal point one place to the left, which pushes each digit one place to the right.

Answer

Multiplying by 10 adds a zero to the left of the number, so every digit shifts one place to the right.

Answer

When you multiply by 10, each digit is multiplied by 10 separately, so the digits become larger but stay in the same positions.

Question 2

What is 3.456 × 100?

Accepted Answer

345.6

Answer

34.56

Answer

0.3456

Answer

3456

Question 3

A science experiment needs 0.032 g of a chemical for each test tube. If a student fills 100 test tubes, how many grams of the chemical are required?

Accepted Answer

3.2

Answer

0.32

Answer

0.0032

Answer

32

Try three questions

Lila changes a length from meters to decameters by multiplying 2.305 m by 10, getting 23.05 dm. Which sentence correctly explains why each digit of the original number appears one place farther to the left after the multiplication?

What is 3.456 × 100?

A science experiment needs 0.032 g of a chemical for each test tube. If a student fills 100 test tubes, how many grams of the chemical are required?

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