Multiply Decimals by Whole Numbers and Place the Point

Start with decimals times whole numbers, then move to the grid pages so the size of the product makes sense. On every problem ask for a quick estimate. If the point lands in the wrong place, compare with the estimate before checking the key.

Multiply decimals by whole numbers and place the decimal point. To multiply a decimal by a whole number, multiply as if there were no point. Then, give the product the same number of decimal places. The directions on the page read: Multiply each decimal by the whole number. Then, write the point. The page opens with a worked example, and the answer key shows every answer.

Yes, both. We made it for 5th Grade decimals, and the page works the same whether it lands on a kitchen table or a center rotation. At home, most families go through it together and talk the answers out loud, and that talking is where most of the learning happens with multiplying decimals. In class it runs well as independent work while you pull a small group. Print one copy or thirty, whichever the day needs.

Multiply as if there were no decimal points, then count the decimal places in both factors and give the product that many places. 2.4 x 0.3: 24 x 3 = 72, and 1 + 1 = 2 places, so the answer is 0.72.

Multiplying by a number less than 1 takes part of the other number. On a 10 by 10 grid, 0.6 x 0.4 is 6 rows of 4 hundredths squares, which is 24 hundredths, or 0.24.

Round each factor to a whole number first. 4.8 x 3.1 is about 5 x 3 = 15, so 48 x 31 = 1,488 must be 14.88.

They support CCSS 5.NBT.B.7, multiplying decimals to hundredths using models, place value strategies and written methods.

5th graders read, write, compare and round decimals to thousandths (CCSS 5.NBT.A.3 and 5.NBT.A.4), understand place value patterns and powers of 10 (5.NBT.A.1 and 5.NBT.A.2), and add, subtract, multiply and divide decimals to hundredths (5.NBT.B.7).

Start with place value to thousandths, then comparing, ordering and rounding. Move to adding and subtracting, then multiplying and dividing. Finish with word problems, mixed operations and a unit review. The subtopics on this page follow that order.

Estimate first. Rounding each number to a whole number gives a ballpark answer, so 4.8 x 3.1 should be about 15, which rules out 1.488 and 148.8.

Yes. All 55 sheets have an answer key, and the two page sheets have a two page key.