Fill in the blanks:

1. The face value of 4 in the numeral [tex]$36,43,908$[/tex] is [tex]$\qquad$[/tex]
2. 839 rounded to the nearest thousand is [tex]$\qquad$[/tex]
3. [tex]$4 \times 269 \times 25 = \qquad$[/tex]
4. [tex]$156 \times 48 - 156 \times 38 = \qquad$[/tex]
5. 6 more than -3 is [tex]$\qquad$[/tex]



Answer :

Sure! Let's go through each question step-by-step.

1. Face value of 4 in the numeral [tex]$36,43,908$[/tex] is:

In any numeral, the face value of a digit is the digit itself, irrespective of its position. So, the face value of 4 in the numeral [tex]$36,43,908$[/tex] is [tex]\( \boxed{4} \)[/tex].

2. 839 rounded to the nearest thousands is:

To round a number to the nearest thousands, we look at the hundreds digit. If it's 5 or higher, we round up. If it's 4 or lower, we round down.
- In 839, the hundreds digit is 8. Since 839 is closer to 1000 than to 0, rounding it to the nearest thousands gives [tex]\( \boxed{1000} \)[/tex].

3. [tex]$4 \times 269 \times 25$[/tex]:

Performing the multiplication step-by-step:
- First, multiply 4 by 269: [tex]\( 4 \times 269 = 1076 \)[/tex]
- Then, multiply the result by 25: [tex]\( 1076 \times 25 = 26900 \)[/tex]
Hence, [tex]\( 4 \times 269 \times 25 = \boxed{26900} \)[/tex].

4. [tex]$156 \times 48 - 156 \times 38$[/tex]:

We can factor out 156 in both terms:
- [tex]\( 156 \times 48 - 156 \times 38 = 156 \times (48 - 38) \)[/tex]
- Simplify inside the parentheses: [tex]\( 48 - 38 = 10 \)[/tex]
- Now, multiply: [tex]\( 156 \times 10 = 1560 \)[/tex]
So, [tex]\( 156 \times 48 - 156 \times 38 = \boxed{1560} \)[/tex].

5. 6 more than -3 is:

To find a number that is 6 more than -3, simply add 6 to -3:
- [tex]\( -3 + 6 = 3 \)[/tex]
Consequently, 6 more than -3 is [tex]\( \boxed{3} \)[/tex].