To find the missing number in each subtraction problem, we need to understand how the parts of a subtraction sentence work together.
The basic rule is:
Minuend – Subtrahend = Difference
Depending on which number is missing, we use different steps:
1.
If the first number (Minuend) is missing:
Add the other two numbers together.
*Example:* `___ - 5 = 3` becomes `3 + 5 = 8`. So, `8 - 5 = 3`.
2.
If the second number (Subtrahend) or the answer (Difference) is missing:
Subtract the known small number from the known big number.
*Example:* `10 - ___ = 4` becomes `10 - 4 = 6`. So, `10 - 6 = 4`.
Let's solve each problem step-by-step:
1.) ___ - 363 = 566
The first number is missing. We add the other two.
$566 + 363 = 929$
Check: $929 - 363 = 566$. Correct.
2.) ___ - 665 = 2,083
The first number is missing. We add.
$2,083 + 665 = 2,748$
Check: $2,748 - 665 = 2,083$. Correct.
3.) 6,547 - ___ = 6,296
The middle number is missing. We subtract the answer from the first number.
$6,547 - 6,296 = 251$
Check: $6,547 - 251 = 6,296$. Correct.
4.) 1,879 - ___ = 1,115
The middle number is missing. We subtract.
$1,879 - 1,115 = 764$
Check: $1,879 - 764 = 1,115$. Correct.
5.) 9,512 - ___ = 997
The middle number is missing. We subtract.
$9,512 - 997 = 8,515$
Check: $9,512 - 8,515 = 997$. Correct.
6.) ___ - 2,004 = 2,128
The first number is missing. We add.
$2,128 + 2,004 = 4,132$
Check: $4,132 - 2,004 = 2,128$. Correct.
7.) 8,567 - ___ = 7,913
The middle number is missing. We subtract.
$8,567 - 7,913 = 654$
Check: $8,567 - 654 = 7,913$. Correct.
8.) ___ - 672 = 7,631
The first number is missing. We add.
$7,631 + 672 = 8,303$
Check: $8,303 - 672 = 7,631$. Correct.
9.) ___ - 2,119 = 4,898
The first number is missing. We add.
$4,898 + 2,119 = 7,017$
Check: $7,017 - 2,119 = 4,898$. Correct.
10.) ___ - 1,313 = 8,677
The first number is missing. We add.
$8,677 + 1,313 = 9,990$
Check: $9,990 - 1,313 = 8,677$. Correct.
11.) 4,765 - ___ = 590
The middle number is missing. We subtract.
$4,765 - 590 = 4,175$
Check: $4,765 - 4,175 = 590$. Correct.
12.) 2,546 - ___ = 344
The middle number is missing. We subtract.
$2,546 - 344 = 2,202$
Check: $2,546 - 2,202 = 344$. Correct.
13.) 9,388 - ___ = 4,172
The middle number is missing. We subtract.
$9,388 - 4,172 = 5,216$
Check: $9,388 - 5,216 = 4,172$. Correct.
14.) ___ - 817 = 4,473
The first number is missing. We add.
$4,473 + 817 = 5,290$
Check: $5,290 - 817 = 4,473$. Correct.
15.) 9,746 - ___ = 689
The middle number is missing. We subtract.
$9,746 - 689 = 9,057$
Check: $9,746 - 9,057 = 689$. Correct.
16.) ___ - 624 = 6,381
The first number is missing. We add.
$6,381 + 624 = 7,005$
Check: $7,005 - 624 = 6,381$. Correct.
Final Answer:
1.) 929
2.) 2,748
3.) 251
4.) 764
5.) 8,515
6.) 4,132
7.) 654
8.) 8,303
9.) 7,017
10.) 9,990
11.) 4,175
12.) 2,202
13.) 5,216
14.) 5,290
15.) 9,057
16.) 7,005
Parent Tip: Review the logic above to help your child master the concept of fifth grade math problems.
