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indicats which digit in 7,403,703 has the place value shown. a. thousan…

Question

indicats which digit in 7,403,703 has the place value shown.
a. thousands
b. hundred thousands
a. the thousands digit in 7,403,703 is
b. the hundred thousands digit in 7,403,703 is

Explanation:

Step1: Identify digit positions

For the number 7,403,703, we first recall the place value system. From right to left (after the decimal, but here it's whole number), the positions are: ones, tens, hundreds, thousands, ten - thousands, hundred - thousands, millions, etc. Wait, let's write the number with commas for place values: 7,403,703. Let's break it down:

  • The right - most digit is in the ones place: 3 (ones place)
  • Next: 0 (tens place)
  • Next: 7 (hundreds place)
  • Next: 3 (thousands place)
  • Next: 0 (ten - thousands place)
  • Next: 4 (hundred - thousands place)
  • Next: 7 (millions place) Wait, no, wait. Wait, the number is 7,403,703. Let's count the digits from the right, starting at 0:

Digit positions (from right, starting at 0):

Position 0: 3 (ones)

Position 1: 0 (tens)

Position 2: 7 (hundreds)

Position 3: 3 (thousands)

Position 4: 0 (ten - thousands)

Position 5: 4 (hundred - thousands)

Position 6: 7 (millions)

Wait, no, maybe a better way: group into thousands. The number is 7,403,703. So the first group (right - most) is 703 (ones, tens, hundreds), the next group is 403 (thousands, ten - thousands, hundred - thousands), and the next group is 7 (millions). Wait, no, the standard place value for a 7 - digit number:

Digits (from left to right):

1st digit (left - most): millions place

2nd digit: hundred - thousands place

3rd digit: ten - thousands place

4th digit: thousands place

5th digit: hundreds place

6th digit: tens place

7th digit: ones place

Wait, let's write 7,403,703 as digits: D1 D2 D3 D4 D5 D6 D7, where D1 = 7, D2 = 4, D3 = 0, D4 = 3, D5 = 7, D6 = 0, D7 = 3.

Now, the thousands place: the digit in the thousands place. The thousands place is the 4th digit from the right? Wait, no. Let's use the comma - separated groups. In the number 7,403,703, the groups are:

  • The right - most group: 703 (represents 703×1 = 703, units)
  • The middle group: 403 (represents 403×1000 = 403,000, thousands and ten - thousands and hundred - thousands? Wait, no. Wait, 1,000 = 10³. So the group to the left of the right - most group (separated by comma) is the thousands group. Wait, no, the standard is: for a number like a,bcd,efg, the groups are:
  • efg: units (1s)
  • bcd: thousands (10³)
  • a: millions (10⁶)

Wait, so in 7,403,703:

  • The right - most group: 703 (units: 7×100 + 0×10+3×1 = 703)
  • The middle group: 403 (thousands: 4×100,000+0×10,000 + 3×1,000=403,000)
  • The left - most group: 7 (millions: 7×1,000,000 = 7,000,000)

Wait, so the thousands place: in the middle group (403), the digits are: 4 (hundred - thousands place in the middle group? No, wait, the middle group is 403, which is 4×100,000+0×10,000 + 3×1,000. So the digit in the thousands place (10³ place) is 3 (because 3×1,000). Wait, no, let's list all place values:

For 7,403,703:

  • Place value of 3 (right - most): 3×1 = 3 (ones)
  • Place value of 0 (next to left): 0×10 = 0 (tens)
  • Place value of 7 (next): 7×100 = 700 (hundreds)
  • Place value of 3 (next): 3×1000 = 3000 (thousands)
  • Place value of 0 (next): 0×10,000 = 0 (ten - thousands)
  • Place value of 4 (next): 4×100,000 = 400,000 (hundred - thousands)
  • Place value of 7 (left - most): 7×1,000,000 = 7,000,000 (millions)

Step2: Solve part a (thousands digit)

The thousands place is the digit that is multiplied by 1000. From the breakdown above, the digit in the thousands place is 3 (since 3×1000 is the thousands place value contribution). Wait, no, wait the number is 7,403,703. Let's write the digits with their place values:

Digit: 7 (millions place), 4 (hundred - thousands place), 0 (t…

Answer:

a. 3

b. 4