Grade 6 Multiplication Missing Number

Grade 6 multiplication missing number sheet: 24 problems on multi-digit multiplication.

CCSSAligned to Common Core 6.NS.3: Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation.

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Three different problem sets — same skill, same layout, fresh numbers.

Preview — Set A

Find the number that belongs in each blank.

1.
___ × 644 = 576380
2.
309 × ___ = 76014
3.
___ × 750 = 192750
4.
___ × 422 = 257842
5.
___ × 261 = 52200
6.
___ × 369 = 107010
7.
340 × ___ = 149600
8.
375 × ___ = 59625
9.
783 × 102 = ___
10.
281 × ___ = 146963
11.
945 × 911 = ___
12.
___ × 560 = 120960
13.
___ × 716 = 230552
14.
326 × ___ = 303180
15.
166 × ___ = 17762
16.
___ × 276 = 275448
17.
958 × 495 = ___
18.
415 × 959 = ___
19.
146 × ___ = 80738
20.
___ × 144 = 70128
21.
635 × 711 = ___
22.
704 × 105 = ___
23.
861 × 590 = ___
24.
237 × ___ = 50244

Other ways to solve this

Using 783 × 102 from this sheet (Set A, problem 9). Each method below reaches the same answer, 79,866, by a different route; pick the one that makes the most sense to you.

Lattice method

Helps keep carrying tidy: every digit product gets its own box, and you only add at the end.

Step 1Write 783 across the top and 102 down the right side, one digit per box.
Step 2Multiply each pair of digits. Put the tens above the diagonal and the ones below it.
- 1 × 7 = 7 → tens 0, ones 7
- 1 × 8 = 8 → tens 0, ones 8
- 1 × 3 = 3 → tens 0, ones 3
- 0 × 7 = 0 → tens 0, ones 0
- 0 × 8 = 0 → tens 0, ones 0
- 0 × 3 = 0 → tens 0, ones 0
- 2 × 7 = 14 → tens 1, ones 4
- 2 × 8 = 16 → tens 1, ones 6
- 2 × 3 = 6 → tens 0, ones 6
Step 3Add along each diagonal, starting at the bottom right. Carry when a sum is 10 or more.
- Diagonal 1 (from the bottom right): 6 = 6
- Diagonal 2 (from the bottom right): 6 = 6
- Diagonal 3 (from the bottom right): 8 = 8
- Diagonal 4 (from the bottom right): 9 = 9
- Diagonal 5 (from the bottom right): 7 = 7
- Diagonal 6 (from the bottom right): 0 = 0
Step 4Read the digits down the left side and along the bottom: 7 9 8 6 6. So 783 × 102 = 79,866.

Step 1 of 4

Doubling and halving

Helps when you can halve and double quickly: the only hard step is one addition at the end.

Halving the left column and doubling the right. Rows with an even left value are crossed out.
Halve	Double	Keep?
102	783	cross out
51	1,566	keep
25	3,132	keep
12	6,264	cross out
6	12,528	cross out
3	25,056	keep
1	50,112	keep

Step 1Put the smaller number, 102, in the left column and 783 in the right column.
Step 2Halve the left number (drop any remainder) and double the right number, row by row, until the left reaches 1.
- 102 | 783
- 51 | 1,566
- 25 | 3,132
- 12 | 6,264
- 6 | 12,528
- 3 | 25,056
- 1 | 50,112
Step 3Cross out every row with an even number on the left.
- Cross out 102 | 783
- Cross out 12 | 6,264
- Cross out 6 | 12,528
Step 4Add the right column of the rows that are left: 1,566 + 3,132 + 25,056 + 50,112 = 79,866.
Step 5So 783 × 102 = 79,866.

Step 1 of 5

Estimate first

Helps you catch place-value slips: round, estimate, then check that the exact answer is close.

Step 1Round each number to its first digit: 783 rounds to 800; 102 rounds to 100.
Step 2Estimate: 800 × 100 = 80,000.
Step 3Now work it out exactly: 783 × 102 = 79,866.
Step 4Compare: 79,866 is 134 away from the estimate of 80,000. An answer with a different number of digits from the estimate usually means a place-value slip.

Step 1 of 4

What this worksheet covers

This is a 24-problem missing number for grade 6 multiplication, printed in black and white with the key on page two. The blank moves between positions from problem to problem, so no single procedure clears the page and the numbers run as high as 576,380. Problems 9 and 17, for instance, are "783 × 102 = ___" and "958 × 495 = ___". Common Core 6.NS.3 is the slot this page fills.

Skills practiced

At grade 6, multiplication is about multi-digit multiplication, greatest common factor, least common multiple and perfect squares, and this sheet takes one slice of that. Specifically, the problems practice multi-digit multiplication. Concretely, the sheet tests whether a student can reason backwards from a result to a missing part.

About the missing number format

Each of the 24 problems has a blank, and the blank is not always at the end: problem 9, "783 × 102 = ___" puts it where the student has to reason backwards. An unknown factor is division in disguise, so this format is where multiplication and division fact families are built.

Set A, Set B and Set C

All three sets are produced by the site's deterministic generator from a fixed seed, so they are the same every time the site is built and the answer keys are exact. Where Set A's problem 13 is "___ × 716 = 230552", Set B's is "910 × ___ = 873600".

How to use this worksheet

Work it without a calculator. Every one of the 24 multiplication problems is designed to be done by hand, and reaching for a calculator at grade 6 skips exactly the reasoning being built. Keep the key face down until all 24 problems are finished, then go through the misses together rather than only totaling the score.

One mistake to watch for

Zeros are lost when multiplying by multiples of ten: 6 × 40 is answered 24 instead of 240. Watch problem 23 of this missing number — "861 × 590 = ___" — for this one.

The fact 6 × 4 is recalled and the ten is forgotten.

Rewrite 6 × 40 as 6 × 4 × 10 for a few days so the ten is a visible factor rather than a decoration.

The full guide to teaching multiplicationTeaching multiplication from equal groups to integer exponents: the grade 2–8 progression, times-table strategies, and the errors that stall students.