High School

Find the missing numbers:

a) _ ÷ 6 = 72
b) 490 - _ = 276
c) 16 x _ = 80
d) 32/40 = _
e) _ seconds = 25 minutes
f) 12/687 m/ _ m/
g) 0.5 km = _ m

Calculate the answer in the space provided. Show the inverse operation. Use the column method.

2.1
84 509 + 33 095

2.2
96 974 - 25 678

2.3
426 x 39 m/

Answer :

Let's solve the missing numbers step by step.

a) [tex]_ \div 6 = 72[/tex]

To find the missing number, we need to perform the inverse operation of division, which is multiplication:

[tex]_ = 72 \times 6[/tex]

[tex]_ = 432[/tex]

b) [tex]490 - _ = 276[/tex]

To find the missing number, use the inverse operation of subtraction, which is addition:

[tex]_ = 490 - 276[/tex]

[tex]_ = 214[/tex]

c) [tex]16 \times _ = 80[/tex]

To find the missing number, use the inverse operation of multiplication, which is division:

[tex]_ = 80 \div 16[/tex]

[tex]_ = 5[/tex]

d) [tex]\frac{32}{40} = _[/tex]

Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 8:

[tex]\frac{32}{40} = \frac{32 \div 8}{40 \div 8} = \frac{4}{5}[/tex]

e) [tex]_ \text{ seconds} = 25 \text{ minutes}[/tex]

Since there are 60 seconds in a minute, convert minutes to seconds:

[tex]_ = 25 \times 60[/tex]

[tex]_ = 1500 \text{ seconds}[/tex]

f) [tex]\frac{12}{687} \text{ m/ } _ \text{ m}[/tex]

This seems to be missing context, so it's unclear what is required here.

g) [tex]0.5 \text{ km} = _ \text{ m}[/tex]

Since 1 kilometer equals 1000 meters, convert the kilometers to meters:

[tex]0.5 \times 1000 = 500 \text{ m}[/tex]

For the arithmetic problems shown:

  • Addition:

    To add using the column method:

    [tex]184,509[/tex]

  • [tex]33,095[/tex]
    [tex]\_
    217,604[/tex]

  • Subtraction:

    To subtract using the column method:

    [tex]296,974[/tex]

  • [tex]25,678[/tex]
    [tex]\_
    271,296[/tex]

  • Multiplication:

    To multiply using the column method:

    [tex]34[/tex]

\ x [tex]39[/tex]
[tex]\_
1326[/tex]