Math

QuestionPart A: Write 670,503 in expanded form. Part B: Explain how to express 8,523 using 15 hundreds in expanded form.

Studdy Solution

STEP 1

Assumptions1. The numbers are in base10. Expanded form means expressing a number as the sum of the products of each digit and its place valuePart A

STEP 2

First, identify the place value of each digit in the number670,503. The place values from left to right are hundred thousands, ten thousands, thousands, hundreds, tens, and ones.

STEP 3

Write the number in expanded form by multiplying each digit by its place value and then adding them all together.
670,503=600,000+70,000+500+3670,503 =600,000 +70,000 +500 +3Part B

STEP 4

First, identify the place value of each digit in the number8,523. The place values from left to right are thousands, hundreds, tens, and ones.

STEP 5

Write the number in expanded form by multiplying each digit by its place value and then adding them all together.
8,523=8,000+500+20+38,523 =8,000 +500 +20 +3

STEP 6

Now, let's rewrite this expanded form using15 hundreds. We know that1,500 is equivalent to15 hundreds. So, we can replace1,500 in the expanded form with15 hundreds.
8,523=8,000+15×100+20+38,523 =8,000 +15 \times100 +20 +3So, the number670,503 in expanded form is600,000 +70,000 +500 +3, and the number8,523 in expanded form using15 hundreds is8,000 +15 hundreds +20 +3.

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