Answer :
Absolutely, let's solve the problems step by step:
1. Complete the calculations by filling in the mod (remainder) results:
a. [tex]\( 185 \)[/tex] mod [tex]\( 7 \)[/tex]: If you divide 185 by 7, the remainder is 3.
b. [tex]\( 135 \)[/tex] cm mod [tex]\( 100 \)[/tex]: If you divide 135 by 100, the remainder is 35. This means [tex]\( 135 \)[/tex] cm can be split into 1 meter and [tex]\( 35 \)[/tex] cm.
c. [tex]\( 4215 \)[/tex] mod [tex]\( 1000 \)[/tex]: If you divide 4215 by 1000, the remainder is 215. This means [tex]\( 4215 \)[/tex] can be split into 4 thousands and [tex]\( 215 \)[/tex] ones.
d. [tex]\( 1215 \)[/tex] m mod [tex]\( 1000 \)[/tex]: If you divide 1215 by 1000, the remainder is 215. This means [tex]\( 1215 \)[/tex] m can be split into 1 thousand meters and [tex]\( 215 \)[/tex] meters.
e. [tex]\( 22350 \)[/tex] mod [tex]\( 10000 \)[/tex]: If you divide 22350 by 10000, the remainder is 2350. This means [tex]\( 22350 \)[/tex] can be split into 2 ten-thousands and [tex]\( 2350 \)[/tex] ones.
f. [tex]\( 12350 \)[/tex] g mod [tex]\( 1000 \)[/tex]: If you divide 12350 by 1000, the remainder is 350. This means [tex]\( 12350 \)[/tex] g can be split into 12 kilograms and [tex]\( 350 \)[/tex] grams.
2. Write the unknown number:
g. An unknown number where we know there are 425 thousands and 312 ones. This means the number is:
[tex]\( 425 \times 1000 + 312 = 425000 + 312 = 425312 \)[/tex]
h. A value in [tex]\( mL \)[/tex] such that it is equal to 1251.312 [tex]\( mL \)[/tex]:
To convert 0.312 [tex]\( mL \)[/tex] to milliliters:
[tex]\( 0.312 \times 1000 = 312 \)[/tex]
Hence:
[tex]\( 1251 + 312 = 1563.0 \)[/tex] [tex]\( mL \)[/tex]
Here is the step-by-step solution filled out:
1. a. 185 mod 7 is 3
2. b. 135 cm is 1 meter 35 cm
3. c. 4215 is 4 thousands 215 ones
4. d. 1215 m is 1 thousand meters 215 meters
5. e. 22350 is 2 ten-thousands 2350 ones
6. f. 12350 g is 12 kg 350 g
7. g. 425312 is the number with 425 thousand and 312 ones
8. h. 1563.0 [tex]\( mL \)[/tex] is equivalent to 1251.312 [tex]\( mL \)[/tex]
These are the detailed, factual results for each part of the question.
1. Complete the calculations by filling in the mod (remainder) results:
a. [tex]\( 185 \)[/tex] mod [tex]\( 7 \)[/tex]: If you divide 185 by 7, the remainder is 3.
b. [tex]\( 135 \)[/tex] cm mod [tex]\( 100 \)[/tex]: If you divide 135 by 100, the remainder is 35. This means [tex]\( 135 \)[/tex] cm can be split into 1 meter and [tex]\( 35 \)[/tex] cm.
c. [tex]\( 4215 \)[/tex] mod [tex]\( 1000 \)[/tex]: If you divide 4215 by 1000, the remainder is 215. This means [tex]\( 4215 \)[/tex] can be split into 4 thousands and [tex]\( 215 \)[/tex] ones.
d. [tex]\( 1215 \)[/tex] m mod [tex]\( 1000 \)[/tex]: If you divide 1215 by 1000, the remainder is 215. This means [tex]\( 1215 \)[/tex] m can be split into 1 thousand meters and [tex]\( 215 \)[/tex] meters.
e. [tex]\( 22350 \)[/tex] mod [tex]\( 10000 \)[/tex]: If you divide 22350 by 10000, the remainder is 2350. This means [tex]\( 22350 \)[/tex] can be split into 2 ten-thousands and [tex]\( 2350 \)[/tex] ones.
f. [tex]\( 12350 \)[/tex] g mod [tex]\( 1000 \)[/tex]: If you divide 12350 by 1000, the remainder is 350. This means [tex]\( 12350 \)[/tex] g can be split into 12 kilograms and [tex]\( 350 \)[/tex] grams.
2. Write the unknown number:
g. An unknown number where we know there are 425 thousands and 312 ones. This means the number is:
[tex]\( 425 \times 1000 + 312 = 425000 + 312 = 425312 \)[/tex]
h. A value in [tex]\( mL \)[/tex] such that it is equal to 1251.312 [tex]\( mL \)[/tex]:
To convert 0.312 [tex]\( mL \)[/tex] to milliliters:
[tex]\( 0.312 \times 1000 = 312 \)[/tex]
Hence:
[tex]\( 1251 + 312 = 1563.0 \)[/tex] [tex]\( mL \)[/tex]
Here is the step-by-step solution filled out:
1. a. 185 mod 7 is 3
2. b. 135 cm is 1 meter 35 cm
3. c. 4215 is 4 thousands 215 ones
4. d. 1215 m is 1 thousand meters 215 meters
5. e. 22350 is 2 ten-thousands 2350 ones
6. f. 12350 g is 12 kg 350 g
7. g. 425312 is the number with 425 thousand and 312 ones
8. h. 1563.0 [tex]\( mL \)[/tex] is equivalent to 1251.312 [tex]\( mL \)[/tex]
These are the detailed, factual results for each part of the question.
