Math

QuestionComplete the statements about place value: a. 10 times 1 hundred is ___ (hundreds or thousand). b. 10 times hundreds is ___ (60 hundreds or thousand).

Studdy Solution

STEP 1

Assumptions1. We are working with the decimal number system, which is base10. . The place values in the decimal number system increase by a factor of10 as we move from right to left.
3. The place values are ones, tens, hundreds, thousands, and so on.

STEP 2

For statement a, we need to find what is10 times as many as1 hundred.
10times1hundred10 \\times1\, hundred

STEP 3

Calculate the result.
10times1hundred=10hundreds10 \\times1\, hundred =10\, hundreds

STEP 4

10 hundreds can also be expressed as1 thousand, because10 hundreds is equal to1 thousand in the decimal number system.
So,10 times as many as1 hundred is10 hundreds or1 thousand.

STEP 5

For statement b, we need to find what is10 times as many as hundreds. However, the problem does not specify how many hundreds, so we will assume it to be1 hundred for our calculation.
10times1hundred10 \\times1\, hundred

STEP 6

Calculate the result.
10times1hundred=10hundreds10 \\times1\, hundred =10\, hundreds

STEP 7

The problem also says that10 times as many as hundreds is60 hundreds. This seems to be a contradiction, because we just calculated that10 times as many as1 hundred is10 hundreds, not60 hundreds.
However, if we interpret the problem as saying that10 times as many as some number of hundreds is60 hundreds, then we can solve for that number.
Let's denote the unknown number of hundreds as xx. So, we have10x=6010x =60

STEP 8

olve for xx.
x=60/10x =60 /10

STEP 9

Calculate the result.
x=60/=6x =60 / =6So, times as many as6 hundreds is60 hundreds.

STEP 10

60 hundreds can also be expressed as6 thousand, because60 hundreds is equal to6 thousand in the decimal number system.
So,10 times as many as6 hundreds is60 hundreds or6 thousand.

Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord